(* ********************************************************************** *)
(* Progetto FreeScale *)
(* *)
-(* Sviluppato da: Cosimo Oliboni, oliboni@cs.unibo.it *)
-(* Cosimo Oliboni, oliboni@cs.unibo.it *)
+(* Sviluppato da: Ing. Cosimo Oliboni, oliboni@cs.unibo.it *)
+(* Ultima modifica: 05/08/2009 *)
(* *)
(* ********************************************************************** *)
(* MATTONI BASE PER DEFINIRE LE TABELLE DELLE MCU *)
(* ********************************************** *)
-nlemma symmetric_eqinstrmode : symmetricT instr_mode bool eq_instrmode.
+nlemma symmetric_eqim : symmetricT instr_mode bool eq_im.
#i1; #i2;
ncases i1;
- ##[ ##1: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##2: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##3: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##4: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##5: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##6: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##7: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##8: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##9: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##10: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##11: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##12: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##13: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##14: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##15: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##16: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##17: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##18: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##19: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##20: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##21: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##22: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##23: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##24: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##25: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##26: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##27: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##28: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##29: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
- ##| ##30: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply (refl_eq ??)
+ ##[ ##1: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##2: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##3: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##4: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##5: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##6: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##7: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##8: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##9: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##10: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##11: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##12: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##13: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##14: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##15: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##16: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##17: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##18: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##19: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##20: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##21: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##22: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##23: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##24: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##25: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##26: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##27: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##28: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##29: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
+ ##| ##30: ncases i2; nnormalize; ##[ ##31,32,33,34: #n ##] napply refl_eq
##| ##31: ncases i2; #n1;
##[ ##31: #n2;
nchange with (eq_oct n2 n1 = eq_oct n1 n2);
nrewrite > (symmetric_eqoct n1 n2);
##| ##32,33,34: #n2; nnormalize
##]
- nnormalize; napply (refl_eq ??)
+ nnormalize; napply refl_eq
##| ##32: ncases i2; #n1;
##[ ##32: #n2;
nchange with (eq_oct n2 n1 = eq_oct n1 n2);
nrewrite > (symmetric_eqoct n1 n2);
##| ##31,33,34: #n2; nnormalize
##]
- nnormalize; napply (refl_eq ??)
+ nnormalize; napply refl_eq
##| ##33: ncases i2; #n1;
##[ ##33: #n2;
nchange with (eq_ex n2 n1 = eq_ex n1 n2);
nrewrite > (symmetric_eqex n1 n2);
##| ##31,32,34: #n2; nnormalize
##]
- nnormalize; napply (refl_eq ??)
+ nnormalize; napply refl_eq
##| ##34: ncases i2; #n1;
##[ ##34: #n2;
- nchange with (eq_bitrig n2 n1 = eq_bitrig n1 n2);
- nrewrite > (symmetric_eqbitrig n1 n2);
+ nchange with (eq_bit n2 n1 = eq_bit n1 n2);
+ nrewrite > (symmetric_eqbit n1 n2);
##| ##31,32,33: #n2; nnormalize
##]
- nnormalize; napply (refl_eq ??)
+ nnormalize; napply refl_eq
##]
nqed.
-nlemma eqinstrmode_to_eq1 : ∀i2.eq_instrmode MODE_INH i2 = true → MODE_INH = i2.
+nlemma eqim_to_eq1 : ∀i2.eq_im MODE_INH i2 = true → MODE_INH = i2.
#i2; ncases i2; nnormalize;
- ##[ ##1: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##1: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq2 : ∀i2.eq_instrmode MODE_INHA i2 = true → MODE_INHA = i2.
+nlemma eqim_to_eq2 : ∀i2.eq_im MODE_INHA i2 = true → MODE_INHA = i2.
#i2; ncases i2; nnormalize;
- ##[ ##2: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##2: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq3 : ∀i2.eq_instrmode MODE_INHX i2 = true → MODE_INHX = i2.
+nlemma eqim_to_eq3 : ∀i2.eq_im MODE_INHX i2 = true → MODE_INHX = i2.
#i2; ncases i2; nnormalize;
- ##[ ##3: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##3: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq4 : ∀i2.eq_instrmode MODE_INHH i2 = true → MODE_INHH = i2.
+nlemma eqim_to_eq4 : ∀i2.eq_im MODE_INHH i2 = true → MODE_INHH = i2.
#i2; ncases i2; nnormalize;
- ##[ ##4: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##4: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq5 : ∀i2.eq_instrmode MODE_INHX0ADD i2 = true → MODE_INHX0ADD = i2.
+nlemma eqim_to_eq5 : ∀i2.eq_im MODE_INHX0ADD i2 = true → MODE_INHX0ADD = i2.
#i2; ncases i2; nnormalize;
- ##[ ##5: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##5: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq6 : ∀i2.eq_instrmode MODE_INHX1ADD i2 = true → MODE_INHX1ADD = i2.
+nlemma eqim_to_eq6 : ∀i2.eq_im MODE_INHX1ADD i2 = true → MODE_INHX1ADD = i2.
#i2; ncases i2; nnormalize;
- ##[ ##6: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##6: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq7 : ∀i2.eq_instrmode MODE_INHX2ADD i2 = true → MODE_INHX2ADD = i2.
+nlemma eqim_to_eq7 : ∀i2.eq_im MODE_INHX2ADD i2 = true → MODE_INHX2ADD = i2.
#i2; ncases i2; nnormalize;
- ##[ ##7: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##7: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq8 : ∀i2.eq_instrmode MODE_IMM1 i2 = true → MODE_IMM1 = i2.
+nlemma eqim_to_eq8 : ∀i2.eq_im MODE_IMM1 i2 = true → MODE_IMM1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##8: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##8: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq9 : ∀i2.eq_instrmode MODE_IMM1EXT i2 = true → MODE_IMM1EXT = i2.
+nlemma eqim_to_eq9 : ∀i2.eq_im MODE_IMM1EXT i2 = true → MODE_IMM1EXT = i2.
#i2; ncases i2; nnormalize;
- ##[ ##9: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##9: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq10 : ∀i2.eq_instrmode MODE_IMM2 i2 = true → MODE_IMM2 = i2.
+nlemma eqim_to_eq10 : ∀i2.eq_im MODE_IMM2 i2 = true → MODE_IMM2 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##10: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##10: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq11 : ∀i2.eq_instrmode MODE_DIR1 i2 = true → MODE_DIR1 = i2.
+nlemma eqim_to_eq11 : ∀i2.eq_im MODE_DIR1 i2 = true → MODE_DIR1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##11: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##11: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq12 : ∀i2.eq_instrmode MODE_DIR2 i2 = true → MODE_DIR2 = i2.
+nlemma eqim_to_eq12 : ∀i2.eq_im MODE_DIR2 i2 = true → MODE_DIR2 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##12: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##12: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq13 : ∀i2.eq_instrmode MODE_IX0 i2 = true → MODE_IX0 = i2.
+nlemma eqim_to_eq13 : ∀i2.eq_im MODE_IX0 i2 = true → MODE_IX0 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##13: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##13: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq14 : ∀i2.eq_instrmode MODE_IX1 i2 = true → MODE_IX1 = i2.
+nlemma eqim_to_eq14 : ∀i2.eq_im MODE_IX1 i2 = true → MODE_IX1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##14: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##14: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq15 : ∀i2.eq_instrmode MODE_IX2 i2 = true → MODE_IX2 = i2.
+nlemma eqim_to_eq15 : ∀i2.eq_im MODE_IX2 i2 = true → MODE_IX2 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##15: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##15: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq16 : ∀i2.eq_instrmode MODE_SP1 i2 = true → MODE_SP1 = i2.
+nlemma eqim_to_eq16 : ∀i2.eq_im MODE_SP1 i2 = true → MODE_SP1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##16: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##16: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq17 : ∀i2.eq_instrmode MODE_SP2 i2 = true → MODE_SP2 = i2.
+nlemma eqim_to_eq17 : ∀i2.eq_im MODE_SP2 i2 = true → MODE_SP2 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##17: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##17: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq18 : ∀i2.eq_instrmode MODE_DIR1_to_DIR1 i2 = true → MODE_DIR1_to_DIR1 = i2.
+nlemma eqim_to_eq18 : ∀i2.eq_im MODE_DIR1_to_DIR1 i2 = true → MODE_DIR1_to_DIR1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##18: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##18: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq19 : ∀i2.eq_instrmode MODE_IMM1_to_DIR1 i2 = true → MODE_IMM1_to_DIR1 = i2.
+nlemma eqim_to_eq19 : ∀i2.eq_im MODE_IMM1_to_DIR1 i2 = true → MODE_IMM1_to_DIR1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##19: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##19: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq20 : ∀i2.eq_instrmode MODE_IX0p_to_DIR1 i2 = true → MODE_IX0p_to_DIR1 = i2.
+nlemma eqim_to_eq20 : ∀i2.eq_im MODE_IX0p_to_DIR1 i2 = true → MODE_IX0p_to_DIR1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##20: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##20: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq21 : ∀i2.eq_instrmode MODE_DIR1_to_IX0p i2 = true → MODE_DIR1_to_IX0p = i2.
+nlemma eqim_to_eq21 : ∀i2.eq_im MODE_DIR1_to_IX0p i2 = true → MODE_DIR1_to_IX0p = i2.
#i2; ncases i2; nnormalize;
- ##[ ##21: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##21: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq22 : ∀i2.eq_instrmode MODE_INHA_and_IMM1 i2 = true → MODE_INHA_and_IMM1 = i2.
+nlemma eqim_to_eq22 : ∀i2.eq_im MODE_INHA_and_IMM1 i2 = true → MODE_INHA_and_IMM1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##22: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##22: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq23 : ∀i2.eq_instrmode MODE_INHX_and_IMM1 i2 = true → MODE_INHX_and_IMM1 = i2.
+nlemma eqim_to_eq23 : ∀i2.eq_im MODE_INHX_and_IMM1 i2 = true → MODE_INHX_and_IMM1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##23: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##23: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq24 : ∀i2.eq_instrmode MODE_IMM1_and_IMM1 i2 = true → MODE_IMM1_and_IMM1 = i2.
+nlemma eqim_to_eq24 : ∀i2.eq_im MODE_IMM1_and_IMM1 i2 = true → MODE_IMM1_and_IMM1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##24: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##24: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq25 : ∀i2.eq_instrmode MODE_DIR1_and_IMM1 i2 = true → MODE_DIR1_and_IMM1 = i2.
+nlemma eqim_to_eq25 : ∀i2.eq_im MODE_DIR1_and_IMM1 i2 = true → MODE_DIR1_and_IMM1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##25: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##25: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq26 : ∀i2.eq_instrmode MODE_IX0_and_IMM1 i2 = true → MODE_IX0_and_IMM1 = i2.
+nlemma eqim_to_eq26 : ∀i2.eq_im MODE_IX0_and_IMM1 i2 = true → MODE_IX0_and_IMM1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##26: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##26: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq27 : ∀i2.eq_instrmode MODE_IX0p_and_IMM1 i2 = true → MODE_IX0p_and_IMM1 = i2.
+nlemma eqim_to_eq27 : ∀i2.eq_im MODE_IX0p_and_IMM1 i2 = true → MODE_IX0p_and_IMM1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##27: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##27: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq28 : ∀i2.eq_instrmode MODE_IX1_and_IMM1 i2 = true → MODE_IX1_and_IMM1 = i2.
+nlemma eqim_to_eq28 : ∀i2.eq_im MODE_IX1_and_IMM1 i2 = true → MODE_IX1_and_IMM1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##28: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##28: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq29 : ∀i2.eq_instrmode MODE_IX1p_and_IMM1 i2 = true → MODE_IX1p_and_IMM1 = i2.
+nlemma eqim_to_eq29 : ∀i2.eq_im MODE_IX1p_and_IMM1 i2 = true → MODE_IX1p_and_IMM1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##29: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##29: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq30 : ∀i2.eq_instrmode MODE_SP1_and_IMM1 i2 = true → MODE_SP1_and_IMM1 = i2.
+nlemma eqim_to_eq30 : ∀i2.eq_im MODE_SP1_and_IMM1 i2 = true → MODE_SP1_and_IMM1 = i2.
#i2; ncases i2; nnormalize;
- ##[ ##30: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (bool_destruct ??? H)
- ##| ##*: #H; napply (bool_destruct ??? H)
+ ##[ ##30: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (bool_destruct … H)
+ ##| ##*: #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq31 : ∀n1,i2.eq_instrmode (MODE_DIRn n1) i2 = true → MODE_DIRn n1 = i2.
+nlemma eqim_to_eq31 : ∀n1,i2.eq_im (MODE_DIRn n1) i2 = true → MODE_DIRn n1 = i2.
#n1; #i2; ncases i2;
##[ ##31: #n2; #H;
nchange in H:(%) with (eq_oct n1 n2 = true);
- nrewrite > (eqoct_to_eq ?? H);
- napply (refl_eq ??)
- ##| ##32,33,34: nnormalize; #n2; #H; napply (bool_destruct ??? H)
- ##| ##*: nnormalize; #H; napply (bool_destruct ??? H)
+ nrewrite > (eqoct_to_eq … H);
+ napply refl_eq
+ ##| ##32,33,34: nnormalize; #n2; #H; napply (bool_destruct … H)
+ ##| ##*: nnormalize; #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq32 : ∀n1,i2.eq_instrmode (MODE_DIRn_and_IMM1 n1) i2 = true → MODE_DIRn_and_IMM1 n1 = i2.
+nlemma eqim_to_eq32 : ∀n1,i2.eq_im (MODE_DIRn_and_IMM1 n1) i2 = true → MODE_DIRn_and_IMM1 n1 = i2.
#n1; #i2; ncases i2;
##[ ##32: #n2; #H;
nchange in H:(%) with (eq_oct n1 n2 = true);
- nrewrite > (eqoct_to_eq ?? H);
- napply (refl_eq ??)
- ##| ##31,33,34: nnormalize; #n2; #H; napply (bool_destruct ??? H)
- ##| ##*: nnormalize; #H; napply (bool_destruct ??? H)
+ nrewrite > (eqoct_to_eq … H);
+ napply refl_eq
+ ##| ##31,33,34: nnormalize; #n2; #H; napply (bool_destruct … H)
+ ##| ##*: nnormalize; #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq33 : ∀n1,i2.eq_instrmode (MODE_TNY n1) i2 = true → MODE_TNY n1 = i2.
+nlemma eqim_to_eq33 : ∀n1,i2.eq_im (MODE_TNY n1) i2 = true → MODE_TNY n1 = i2.
#n1; #i2; ncases i2;
##[ ##33: #n2; #H;
nchange in H:(%) with (eq_ex n1 n2 = true);
- nrewrite > (eqex_to_eq ?? H);
- napply (refl_eq ??)
- ##| ##31,32,34: nnormalize; #n2; #H; napply (bool_destruct ??? H)
- ##| ##*: nnormalize; #H; napply (bool_destruct ??? H)
+ nrewrite > (eqex_to_eq … H);
+ napply refl_eq
+ ##| ##31,32,34: nnormalize; #n2; #H; napply (bool_destruct … H)
+ ##| ##*: nnormalize; #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq34 : ∀n1,i2.eq_instrmode (MODE_SRT n1) i2 = true → MODE_SRT n1 = i2.
+nlemma eqim_to_eq34 : ∀n1,i2.eq_im (MODE_SRT n1) i2 = true → MODE_SRT n1 = i2.
#n1; #i2; ncases i2;
##[ ##34: #n2; #H;
- nchange in H:(%) with (eq_bitrig n1 n2 = true);
- nrewrite > (eqbitrig_to_eq ?? H);
- napply (refl_eq ??)
- ##| ##31,32,33: nnormalize; #n2; #H; napply (bool_destruct ??? H)
- ##| ##*: nnormalize; #H; napply (bool_destruct ??? H)
+ nchange in H:(%) with (eq_bit n1 n2 = true);
+ nrewrite > (eqbit_to_eq … H);
+ napply refl_eq
+ ##| ##31,32,33: nnormalize; #n2; #H; napply (bool_destruct … H)
+ ##| ##*: nnormalize; #H; napply (bool_destruct … H)
##]
nqed.
-nlemma eqinstrmode_to_eq : ∀i1,i2.eq_instrmode i1 i2 = true → i1 = i2.
+nlemma eqim_to_eq : ∀i1,i2.eq_im i1 i2 = true → i1 = i2.
#i1; ncases i1;
- ##[ ##1: napply eqinstrmode_to_eq1 ##| ##2: napply eqinstrmode_to_eq2
- ##| ##3: napply eqinstrmode_to_eq3 ##| ##4: napply eqinstrmode_to_eq4
- ##| ##5: napply eqinstrmode_to_eq5 ##| ##6: napply eqinstrmode_to_eq6
- ##| ##7: napply eqinstrmode_to_eq7 ##| ##8: napply eqinstrmode_to_eq8
- ##| ##9: napply eqinstrmode_to_eq9 ##| ##10: napply eqinstrmode_to_eq10
- ##| ##11: napply eqinstrmode_to_eq11 ##| ##12: napply eqinstrmode_to_eq12
- ##| ##13: napply eqinstrmode_to_eq13 ##| ##14: napply eqinstrmode_to_eq14
- ##| ##15: napply eqinstrmode_to_eq15 ##| ##16: napply eqinstrmode_to_eq16
- ##| ##17: napply eqinstrmode_to_eq17 ##| ##18: napply eqinstrmode_to_eq18
- ##| ##19: napply eqinstrmode_to_eq19 ##| ##20: napply eqinstrmode_to_eq20
- ##| ##21: napply eqinstrmode_to_eq21 ##| ##22: napply eqinstrmode_to_eq22
- ##| ##23: napply eqinstrmode_to_eq23 ##| ##24: napply eqinstrmode_to_eq24
- ##| ##25: napply eqinstrmode_to_eq25 ##| ##26: napply eqinstrmode_to_eq26
- ##| ##27: napply eqinstrmode_to_eq27 ##| ##28: napply eqinstrmode_to_eq28
- ##| ##29: napply eqinstrmode_to_eq29 ##| ##30: napply eqinstrmode_to_eq30
- ##| ##31: napply eqinstrmode_to_eq31 ##| ##32: napply eqinstrmode_to_eq32
- ##| ##33: napply eqinstrmode_to_eq33 ##| ##34: napply eqinstrmode_to_eq34
- ##]
-nqed.
-
-nlemma eq_to_eqinstrmode1 : ∀i2.MODE_INH = i2 → eq_instrmode MODE_INH i2 = true.
+ ##[ ##1: napply eqim_to_eq1 ##| ##2: napply eqim_to_eq2
+ ##| ##3: napply eqim_to_eq3 ##| ##4: napply eqim_to_eq4
+ ##| ##5: napply eqim_to_eq5 ##| ##6: napply eqim_to_eq6
+ ##| ##7: napply eqim_to_eq7 ##| ##8: napply eqim_to_eq8
+ ##| ##9: napply eqim_to_eq9 ##| ##10: napply eqim_to_eq10
+ ##| ##11: napply eqim_to_eq11 ##| ##12: napply eqim_to_eq12
+ ##| ##13: napply eqim_to_eq13 ##| ##14: napply eqim_to_eq14
+ ##| ##15: napply eqim_to_eq15 ##| ##16: napply eqim_to_eq16
+ ##| ##17: napply eqim_to_eq17 ##| ##18: napply eqim_to_eq18
+ ##| ##19: napply eqim_to_eq19 ##| ##20: napply eqim_to_eq20
+ ##| ##21: napply eqim_to_eq21 ##| ##22: napply eqim_to_eq22
+ ##| ##23: napply eqim_to_eq23 ##| ##24: napply eqim_to_eq24
+ ##| ##25: napply eqim_to_eq25 ##| ##26: napply eqim_to_eq26
+ ##| ##27: napply eqim_to_eq27 ##| ##28: napply eqim_to_eq28
+ ##| ##29: napply eqim_to_eq29 ##| ##30: napply eqim_to_eq30
+ ##| ##31: napply eqim_to_eq31 ##| ##32: napply eqim_to_eq32
+ ##| ##33: napply eqim_to_eq33 ##| ##34: napply eqim_to_eq34
+ ##]
+nqed.
+
+nlemma eq_to_eqim1 : ∀i2.MODE_INH = i2 → eq_im MODE_INH i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##1: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##1: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode2 : ∀i2.MODE_INHA = i2 → eq_instrmode MODE_INHA i2 = true.
+nlemma eq_to_eqim2 : ∀i2.MODE_INHA = i2 → eq_im MODE_INHA i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##2: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##2: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode3 : ∀i2.MODE_INHX = i2 → eq_instrmode MODE_INHX i2 = true.
+nlemma eq_to_eqim3 : ∀i2.MODE_INHX = i2 → eq_im MODE_INHX i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##3: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##3: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode4 : ∀i2.MODE_INHH = i2 → eq_instrmode MODE_INHH i2 = true.
+nlemma eq_to_eqim4 : ∀i2.MODE_INHH = i2 → eq_im MODE_INHH i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##4: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##4: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode5 : ∀i2.MODE_INHX0ADD = i2 → eq_instrmode MODE_INHX0ADD i2 = true.
+nlemma eq_to_eqim5 : ∀i2.MODE_INHX0ADD = i2 → eq_im MODE_INHX0ADD i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##5: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##5: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode6 : ∀i2.MODE_INHX1ADD = i2 → eq_instrmode MODE_INHX1ADD i2 = true.
+nlemma eq_to_eqim6 : ∀i2.MODE_INHX1ADD = i2 → eq_im MODE_INHX1ADD i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##6: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##6: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode7 : ∀i2.MODE_INHX2ADD = i2 → eq_instrmode MODE_INHX2ADD i2 = true.
+nlemma eq_to_eqim7 : ∀i2.MODE_INHX2ADD = i2 → eq_im MODE_INHX2ADD i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##7: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##7: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode8 : ∀i2.MODE_IMM1 = i2 → eq_instrmode MODE_IMM1 i2 = true.
+nlemma eq_to_eqim8 : ∀i2.MODE_IMM1 = i2 → eq_im MODE_IMM1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##8: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##8: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode9 : ∀i2.MODE_IMM1EXT = i2 → eq_instrmode MODE_IMM1EXT i2 = true.
+nlemma eq_to_eqim9 : ∀i2.MODE_IMM1EXT = i2 → eq_im MODE_IMM1EXT i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##9: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##9: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode10 : ∀i2.MODE_IMM2 = i2 → eq_instrmode MODE_IMM2 i2 = true.
+nlemma eq_to_eqim10 : ∀i2.MODE_IMM2 = i2 → eq_im MODE_IMM2 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##10: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##10: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode11 : ∀i2.MODE_DIR1 = i2 → eq_instrmode MODE_DIR1 i2 = true.
+nlemma eq_to_eqim11 : ∀i2.MODE_DIR1 = i2 → eq_im MODE_DIR1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##11: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##11: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode12 : ∀i2.MODE_DIR2 = i2 → eq_instrmode MODE_DIR2 i2 = true.
+nlemma eq_to_eqim12 : ∀i2.MODE_DIR2 = i2 → eq_im MODE_DIR2 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##12: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##12: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode13 : ∀i2.MODE_IX0 = i2 → eq_instrmode MODE_IX0 i2 = true.
+nlemma eq_to_eqim13 : ∀i2.MODE_IX0 = i2 → eq_im MODE_IX0 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##13: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##13: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode14 : ∀i2.MODE_IX1 = i2 → eq_instrmode MODE_IX1 i2 = true.
+nlemma eq_to_eqim14 : ∀i2.MODE_IX1 = i2 → eq_im MODE_IX1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##14: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##14: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode15 : ∀i2.MODE_IX2 = i2 → eq_instrmode MODE_IX2 i2 = true.
+nlemma eq_to_eqim15 : ∀i2.MODE_IX2 = i2 → eq_im MODE_IX2 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##15: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##15: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode16 : ∀i2.MODE_SP1 = i2 → eq_instrmode MODE_SP1 i2 = true.
+nlemma eq_to_eqim16 : ∀i2.MODE_SP1 = i2 → eq_im MODE_SP1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##16: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##16: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode17 : ∀i2.MODE_SP2 = i2 → eq_instrmode MODE_SP2 i2 = true.
+nlemma eq_to_eqim17 : ∀i2.MODE_SP2 = i2 → eq_im MODE_SP2 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##17: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##17: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode18 : ∀i2.MODE_DIR1_to_DIR1 = i2 → eq_instrmode MODE_DIR1_to_DIR1 i2 = true.
+nlemma eq_to_eqim18 : ∀i2.MODE_DIR1_to_DIR1 = i2 → eq_im MODE_DIR1_to_DIR1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##18: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##18: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode19 : ∀i2.MODE_IMM1_to_DIR1 = i2 → eq_instrmode MODE_IMM1_to_DIR1 i2 = true.
+nlemma eq_to_eqim19 : ∀i2.MODE_IMM1_to_DIR1 = i2 → eq_im MODE_IMM1_to_DIR1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##19: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##19: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode20 : ∀i2.MODE_IX0p_to_DIR1 = i2 → eq_instrmode MODE_IX0p_to_DIR1 i2 = true.
+nlemma eq_to_eqim20 : ∀i2.MODE_IX0p_to_DIR1 = i2 → eq_im MODE_IX0p_to_DIR1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##20: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##20: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode21 : ∀i2.MODE_DIR1_to_IX0p = i2 → eq_instrmode MODE_DIR1_to_IX0p i2 = true.
+nlemma eq_to_eqim21 : ∀i2.MODE_DIR1_to_IX0p = i2 → eq_im MODE_DIR1_to_IX0p i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##21: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##21: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode22 : ∀i2.MODE_INHA_and_IMM1 = i2 → eq_instrmode MODE_INHA_and_IMM1 i2 = true.
+nlemma eq_to_eqim22 : ∀i2.MODE_INHA_and_IMM1 = i2 → eq_im MODE_INHA_and_IMM1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##22: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##22: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode23 : ∀i2.MODE_INHX_and_IMM1 = i2 → eq_instrmode MODE_INHX_and_IMM1 i2 = true.
+nlemma eq_to_eqim23 : ∀i2.MODE_INHX_and_IMM1 = i2 → eq_im MODE_INHX_and_IMM1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##23: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##23: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode24 : ∀i2.MODE_IMM1_and_IMM1 = i2 → eq_instrmode MODE_IMM1_and_IMM1 i2 = true.
+nlemma eq_to_eqim24 : ∀i2.MODE_IMM1_and_IMM1 = i2 → eq_im MODE_IMM1_and_IMM1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##24: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##24: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode25 : ∀i2.MODE_DIR1_and_IMM1 = i2 → eq_instrmode MODE_DIR1_and_IMM1 i2 = true.
+nlemma eq_to_eqim25 : ∀i2.MODE_DIR1_and_IMM1 = i2 → eq_im MODE_DIR1_and_IMM1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##25: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##25: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode26 : ∀i2.MODE_IX0_and_IMM1 = i2 → eq_instrmode MODE_IX0_and_IMM1 i2 = true.
+nlemma eq_to_eqim26 : ∀i2.MODE_IX0_and_IMM1 = i2 → eq_im MODE_IX0_and_IMM1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##26: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##26: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode27 : ∀i2.MODE_IX0p_and_IMM1 = i2 → eq_instrmode MODE_IX0p_and_IMM1 i2 = true.
+nlemma eq_to_eqim27 : ∀i2.MODE_IX0p_and_IMM1 = i2 → eq_im MODE_IX0p_and_IMM1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##27: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##27: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode28 : ∀i2.MODE_IX1_and_IMM1 = i2 → eq_instrmode MODE_IX1_and_IMM1 i2 = true.
+nlemma eq_to_eqim28 : ∀i2.MODE_IX1_and_IMM1 = i2 → eq_im MODE_IX1_and_IMM1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##28: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##28: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode29 : ∀i2.MODE_IX1p_and_IMM1 = i2 → eq_instrmode MODE_IX1p_and_IMM1 i2 = true.
+nlemma eq_to_eqim29 : ∀i2.MODE_IX1p_and_IMM1 = i2 → eq_im MODE_IX1p_and_IMM1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##29: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##29: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode30 : ∀i2.MODE_SP1_and_IMM1 = i2 → eq_instrmode MODE_SP1_and_IMM1 i2 = true.
+nlemma eq_to_eqim30 : ∀i2.MODE_SP1_and_IMM1 = i2 → eq_im MODE_SP1_and_IMM1 i2 = true.
#t2; ncases t2; nnormalize;
- ##[ ##30: #H; napply (refl_eq ??)
- ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; napply (instr_mode_destruct ??? H)
+ ##[ ##30: #H; napply refl_eq
+ ##| ##31,32,33,34: #n; #H; napply (instr_mode_destruct … H)
+ ##| ##*: #H; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode31 : ∀n1,i2.MODE_DIRn n1 = i2 → eq_instrmode (MODE_DIRn n1) i2 = true.
+nlemma eq_to_eqim31 : ∀n1,i2.MODE_DIRn n1 = i2 → eq_im (MODE_DIRn n1) i2 = true.
#n1; #t2; ncases t2;
##[ ##31: #n2; #H;
nchange with (eq_oct n1 n2 = true);
- nrewrite > (instr_mode_destruct_MODE_DIRn ?? H);
- nrewrite > (eq_to_eqoct n2 n2 (refl_eq ??));
- napply (refl_eq ??)
- ##| ##32,33,34: #n; #H; nnormalize; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; nnormalize; napply (instr_mode_destruct ??? H)
+ nrewrite > (instr_mode_destruct_MODE_DIRn … H);
+ nrewrite > (eq_to_eqoct n2 n2 (refl_eq …));
+ napply refl_eq
+ ##| ##32,33,34: #n; #H; nnormalize; napply (instr_mode_destruct … H)
+ ##| ##*: #H; nnormalize; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode32 : ∀n1,i2.MODE_DIRn_and_IMM1 n1 = i2 → eq_instrmode (MODE_DIRn_and_IMM1 n1) i2 = true.
+nlemma eq_to_eqim32 : ∀n1,i2.MODE_DIRn_and_IMM1 n1 = i2 → eq_im (MODE_DIRn_and_IMM1 n1) i2 = true.
#n1; #t2; ncases t2;
##[ ##32: #n2; #H;
nchange with (eq_oct n1 n2 = true);
- nrewrite > (instr_mode_destruct_MODE_DIRn_and_IMM1 ?? H);
- nrewrite > (eq_to_eqoct n2 n2 (refl_eq ??));
- napply (refl_eq ??)
- ##| ##31,33,34: #n; #H; nnormalize; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; nnormalize; napply (instr_mode_destruct ??? H)
+ nrewrite > (instr_mode_destruct_MODE_DIRn_and_IMM1 … H);
+ nrewrite > (eq_to_eqoct n2 n2 (refl_eq …));
+ napply refl_eq
+ ##| ##31,33,34: #n; #H; nnormalize; napply (instr_mode_destruct … H)
+ ##| ##*: #H; nnormalize; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode33 : ∀n1,i2.MODE_TNY n1 = i2 → eq_instrmode (MODE_TNY n1) i2 = true.
+nlemma eq_to_eqim33 : ∀n1,i2.MODE_TNY n1 = i2 → eq_im (MODE_TNY n1) i2 = true.
#n1; #t2; ncases t2;
##[ ##33: #n2; #H;
nchange with (eq_ex n1 n2 = true);
- nrewrite > (instr_mode_destruct_MODE_TNY ?? H);
- nrewrite > (eq_to_eqex n2 n2 (refl_eq ??));
- napply (refl_eq ??)
- ##| ##31,32,34: #n; #H; nnormalize; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; nnormalize; napply (instr_mode_destruct ??? H)
+ nrewrite > (instr_mode_destruct_MODE_TNY … H);
+ nrewrite > (eq_to_eqex n2 n2 (refl_eq …));
+ napply refl_eq
+ ##| ##31,32,34: #n; #H; nnormalize; napply (instr_mode_destruct … H)
+ ##| ##*: #H; nnormalize; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode34 : ∀n1,i2.MODE_SRT n1 = i2 → eq_instrmode (MODE_SRT n1) i2 = true.
+nlemma eq_to_eqim34 : ∀n1,i2.MODE_SRT n1 = i2 → eq_im (MODE_SRT n1) i2 = true.
#n1; #t2; ncases t2;
##[ ##34: #n2; #H;
- nchange with (eq_bitrig n1 n2 = true);
- nrewrite > (instr_mode_destruct_MODE_SRT ?? H);
- nrewrite > (eq_to_eqbitrig n2 n2 (refl_eq ??));
- napply (refl_eq ??)
- ##| ##31,32,33: #n; #H; nnormalize; napply (instr_mode_destruct ??? H)
- ##| ##*: #H; nnormalize; napply (instr_mode_destruct ??? H)
+ nchange with (eq_bit n1 n2 = true);
+ nrewrite > (instr_mode_destruct_MODE_SRT … H);
+ nrewrite > (eq_to_eqbit n2 n2 (refl_eq …));
+ napply refl_eq
+ ##| ##31,32,33: #n; #H; nnormalize; napply (instr_mode_destruct … H)
+ ##| ##*: #H; nnormalize; napply (instr_mode_destruct … H)
##]
nqed.
-nlemma eq_to_eqinstrmode : ∀i1,i2.i1 = i2 → eq_instrmode i1 i2 = true.
+nlemma eq_to_eqim : ∀i1,i2.i1 = i2 → eq_im i1 i2 = true.
#i1; ncases i1;
- ##[ ##1: napply eq_to_eqinstrmode1 ##| ##2: napply eq_to_eqinstrmode2
- ##| ##3: napply eq_to_eqinstrmode3 ##| ##4: napply eq_to_eqinstrmode4
- ##| ##5: napply eq_to_eqinstrmode5 ##| ##6: napply eq_to_eqinstrmode6
- ##| ##7: napply eq_to_eqinstrmode7 ##| ##8: napply eq_to_eqinstrmode8
- ##| ##9: napply eq_to_eqinstrmode9 ##| ##10: napply eq_to_eqinstrmode10
- ##| ##11: napply eq_to_eqinstrmode11 ##| ##12: napply eq_to_eqinstrmode12
- ##| ##13: napply eq_to_eqinstrmode13 ##| ##14: napply eq_to_eqinstrmode14
- ##| ##15: napply eq_to_eqinstrmode15 ##| ##16: napply eq_to_eqinstrmode16
- ##| ##17: napply eq_to_eqinstrmode17 ##| ##18: napply eq_to_eqinstrmode18
- ##| ##19: napply eq_to_eqinstrmode19 ##| ##20: napply eq_to_eqinstrmode20
- ##| ##21: napply eq_to_eqinstrmode21 ##| ##22: napply eq_to_eqinstrmode22
- ##| ##23: napply eq_to_eqinstrmode23 ##| ##24: napply eq_to_eqinstrmode24
- ##| ##25: napply eq_to_eqinstrmode25 ##| ##26: napply eq_to_eqinstrmode26
- ##| ##27: napply eq_to_eqinstrmode27 ##| ##28: napply eq_to_eqinstrmode28
- ##| ##29: napply eq_to_eqinstrmode29 ##| ##30: napply eq_to_eqinstrmode30
- ##| ##31: napply eq_to_eqinstrmode31 ##| ##32: napply eq_to_eqinstrmode32
- ##| ##33: napply eq_to_eqinstrmode33 ##| ##34: napply eq_to_eqinstrmode34
+ ##[ ##1: napply eq_to_eqim1 ##| ##2: napply eq_to_eqim2
+ ##| ##3: napply eq_to_eqim3 ##| ##4: napply eq_to_eqim4
+ ##| ##5: napply eq_to_eqim5 ##| ##6: napply eq_to_eqim6
+ ##| ##7: napply eq_to_eqim7 ##| ##8: napply eq_to_eqim8
+ ##| ##9: napply eq_to_eqim9 ##| ##10: napply eq_to_eqim10
+ ##| ##11: napply eq_to_eqim11 ##| ##12: napply eq_to_eqim12
+ ##| ##13: napply eq_to_eqim13 ##| ##14: napply eq_to_eqim14
+ ##| ##15: napply eq_to_eqim15 ##| ##16: napply eq_to_eqim16
+ ##| ##17: napply eq_to_eqim17 ##| ##18: napply eq_to_eqim18
+ ##| ##19: napply eq_to_eqim19 ##| ##20: napply eq_to_eqim20
+ ##| ##21: napply eq_to_eqim21 ##| ##22: napply eq_to_eqim22
+ ##| ##23: napply eq_to_eqim23 ##| ##24: napply eq_to_eqim24
+ ##| ##25: napply eq_to_eqim25 ##| ##26: napply eq_to_eqim26
+ ##| ##27: napply eq_to_eqim27 ##| ##28: napply eq_to_eqim28
+ ##| ##29: napply eq_to_eqim29 ##| ##30: napply eq_to_eqim30
+ ##| ##31: napply eq_to_eqim31 ##| ##32: napply eq_to_eqim32
+ ##| ##33: napply eq_to_eqim33 ##| ##34: napply eq_to_eqim34
##]
nqed.
projects / helm.git / blobdiff