X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_assembly%2Ffreescale%2Fopcode_base_lemmas_instrmode1.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_assembly%2Ffreescale%2Fopcode_base_lemmas_instrmode1.ma;h=0000000000000000000000000000000000000000;hb=ce3886fa05ff0a2fbd4d7b6cf68225d90686eafe;hp=c2e1ed6d1e89221584e7861a57c5577d6812ed95;hpb=17c6ac2888a1f30aee059f5cf6b8872bb4f3ab61;p=helm.git

diff --git a/helm/software/matita/contribs/ng_assembly/freescale/opcode_base_lemmas_instrmode1.ma b/helm/software/matita/contribs/ng_assembly/freescale/opcode_base_lemmas_instrmode1.ma
deleted file mode 100755
index c2e1ed6d1..000000000
--- a/helm/software/matita/contribs/ng_assembly/freescale/opcode_base_lemmas_instrmode1.ma
+++ /dev/null
@@ -1,930 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-(* ********************************************************************** *)
-(*                          Progetto FreeScale                            *)
-(*                                                                        *)
-(*   Sviluppato da: Cosimo Oliboni, oliboni@cs.unibo.it                   *)
-(*     Cosimo Oliboni, oliboni@cs.unibo.it                                *)
-(*                                                                        *)
-(* ********************************************************************** *)
-
-include "freescale/oct_lemmas.ma".
-include "freescale/bitrigesim_lemmas.ma".
-include "freescale/exadecim_lemmas.ma".
-include "freescale/opcode_base.ma".
-
-(* ********************************************** *)
-(* MATTONI BASE PER DEFINIRE LE TABELLE DELLE MCU *)
-(* ********************************************** *)
-
-ndefinition instr_mode_destruct1 :
- Πi2.ΠP:Prop.MODE_INH = i2 → match i2 with [ MODE_INH ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##1: #H; napply (λx:P.x)
- ##| ##2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_INH with [ MODE_INH ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_INH with [ MODE_INH ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct2 :
- Πi2.ΠP:Prop.MODE_INHA = i2 → match i2 with [ MODE_INHA ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##2: #H; napply (λx:P.x)
- ##| ##1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_INHA with [ MODE_INHA ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_INHA with [ MODE_INHA ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct3 :
- Πi2.ΠP:Prop.MODE_INHX = i2 → match i2 with [ MODE_INHX ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##3: #H; napply (λx:P.x)
- ##| ##1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_INHX with [ MODE_INHX ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_INHX with [ MODE_INHX ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct4 :
- Πi2.ΠP:Prop.MODE_INHH = i2 → match i2 with [ MODE_INHH ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##4: #H; napply (λx:P.x)
- ##| ##1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_INHH with [ MODE_INHH ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_INHH with [ MODE_INHH ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct5 :
- Πi2.ΠP:Prop.MODE_INHX0ADD = i2 → match i2 with [ MODE_INHX0ADD ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##5: #H; napply (λx:P.x)
- ##| ##1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_INHX0ADD with [ MODE_INHX0ADD ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_INHX0ADD with [ MODE_INHX0ADD ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct6 :
- Πi2.ΠP:Prop.MODE_INHX1ADD = i2 → match i2 with [ MODE_INHX1ADD ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##6: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_INHX1ADD with [ MODE_INHX1ADD ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_INHX1ADD with [ MODE_INHX1ADD ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct7 :
- Πi2.ΠP:Prop.MODE_INHX2ADD = i2 → match i2 with [ MODE_INHX2ADD ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##7: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_INHX2ADD with [ MODE_INHX2ADD ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_INHX2ADD with [ MODE_INHX2ADD ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct8 :
- Πi2.ΠP:Prop.MODE_IMM1 = i2 → match i2 with [ MODE_IMM1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##8: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IMM1 with [ MODE_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IMM1 with [ MODE_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct9 :
- Πi2.ΠP:Prop.MODE_IMM1EXT = i2 → match i2 with [ MODE_IMM1EXT ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##9: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IMM1EXT with [ MODE_IMM1EXT ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IMM1EXT with [ MODE_IMM1EXT ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct10 :
- Πi2.ΠP:Prop.MODE_IMM2 = i2 → match i2 with [ MODE_IMM2 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##10: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IMM2 with [ MODE_IMM2 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IMM2 with [ MODE_IMM2 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct11 :
- Πi2.ΠP:Prop.MODE_DIR1 = i2 → match i2 with [ MODE_DIR1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##11: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_DIR1 with [ MODE_DIR1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_DIR1 with [ MODE_DIR1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct12 :
- Πi2.ΠP:Prop.MODE_DIR2 = i2 → match i2 with [ MODE_DIR2 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##12: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_DIR2 with [ MODE_DIR2 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_DIR2 with [ MODE_DIR2 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct13 :
- Πi2.ΠP:Prop.MODE_IX0 = i2 → match i2 with [ MODE_IX0 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##13: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IX0 with [ MODE_IX0 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IX0 with [ MODE_IX0 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct14 :
- Πi2.ΠP:Prop.MODE_IX1 = i2 → match i2 with [ MODE_IX1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##14: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IX1 with [ MODE_IX1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IX1 with [ MODE_IX1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct15 :
- Πi2.ΠP:Prop.MODE_IX2 = i2 → match i2 with [ MODE_IX2 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##15: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IX2 with [ MODE_IX2 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IX2 with [ MODE_IX2 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct16 :
- Πi2.ΠP:Prop.MODE_SP1 = i2 → match i2 with [ MODE_SP1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##16: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_SP1 with [ MODE_SP1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_SP1 with [ MODE_SP1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct17 :
- Πi2.ΠP:Prop.MODE_SP2 = i2 → match i2 with [ MODE_SP2 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##17: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_SP2 with [ MODE_SP2 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_SP2 with [ MODE_SP2 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct18 :
- Πi2.ΠP:Prop.MODE_DIR1_to_DIR1 = i2 → match i2 with [ MODE_DIR1_to_DIR1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##18: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_DIR1_to_DIR1 with [ MODE_DIR1_to_DIR1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_DIR1_to_DIR1 with [ MODE_DIR1_to_DIR1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct19 :
- Πi2.ΠP:Prop.MODE_IMM1_to_DIR1 = i2 → match i2 with [ MODE_IMM1_to_DIR1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##19: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IMM1_to_DIR1 with [ MODE_IMM1_to_DIR1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IMM1_to_DIR1 with [ MODE_IMM1_to_DIR1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct20 :
- Πi2.ΠP:Prop.MODE_IX0p_to_DIR1 = i2 → match i2 with [ MODE_IX0p_to_DIR1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##20: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IX0p_to_DIR1 with [ MODE_IX0p_to_DIR1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IX0p_to_DIR1 with [ MODE_IX0p_to_DIR1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct21 :
- Πi2.ΠP:Prop.MODE_DIR1_to_IX0p = i2 → match i2 with [ MODE_DIR1_to_IX0p ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##21: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_DIR1_to_IX0p with [ MODE_DIR1_to_IX0p ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_DIR1_to_IX0p with [ MODE_DIR1_to_IX0p ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct22 :
- Πi2.ΠP:Prop.MODE_INHA_and_IMM1 = i2 → match i2 with [ MODE_INHA_and_IMM1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##22: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_INHA_and_IMM1 with [ MODE_INHA_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_INHA_and_IMM1 with [ MODE_INHA_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct23 :
- Πi2.ΠP:Prop.MODE_INHX_and_IMM1 = i2 → match i2 with [ MODE_INHX_and_IMM1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##23: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_INHX_and_IMM1 with [ MODE_INHX_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_INHX_and_IMM1 with [ MODE_INHX_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct24 :
- Πi2.ΠP:Prop.MODE_IMM1_and_IMM1 = i2 → match i2 with [ MODE_IMM1_and_IMM1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##24: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IMM1_and_IMM1 with [ MODE_IMM1_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IMM1_and_IMM1 with [ MODE_IMM1_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct25 :
- Πi2.ΠP:Prop.MODE_DIR1_and_IMM1 = i2 → match i2 with [ MODE_DIR1_and_IMM1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##25: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_DIR1_and_IMM1 with [ MODE_DIR1_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_DIR1_and_IMM1 with [ MODE_DIR1_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct26 :
- Πi2.ΠP:Prop.MODE_IX0_and_IMM1 = i2 → match i2 with [ MODE_IX0_and_IMM1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##26: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IX0_and_IMM1 with [ MODE_IX0_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IX0_and_IMM1 with [ MODE_IX0_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct27 :
- Πi2.ΠP:Prop.MODE_IX0p_and_IMM1 = i2 → match i2 with [ MODE_IX0p_and_IMM1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##27: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IX0p_and_IMM1 with [ MODE_IX0p_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IX0p_and_IMM1 with [ MODE_IX0p_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct28 :
- Πi2.ΠP:Prop.MODE_IX1_and_IMM1 = i2 → match i2 with [ MODE_IX1_and_IMM1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##28: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IX1_and_IMM1 with [ MODE_IX1_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IX1_and_IMM1 with [ MODE_IX1_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct29 :
- Πi2.ΠP:Prop.MODE_IX1p_and_IMM1 = i2 → match i2 with [ MODE_IX1p_and_IMM1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##29: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30: #H;
-     napply False_ind;
-     nchange with (match MODE_IX1p_and_IMM1 with [ MODE_IX1p_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_IX1p_and_IMM1 with [ MODE_IX1p_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-ndefinition instr_mode_destruct30 :
- Πi2.ΠP:Prop.MODE_SP1_and_IMM1 = i2 → match i2 with [ MODE_SP1_and_IMM1 ⇒ P → P | _ ⇒ P ].
- #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##30: #H; napply (λx:P.x)
- ##| ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29: #H;
-     napply False_ind;
-     nchange with (match MODE_SP1_and_IMM1 with [ MODE_SP1_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_SP1_and_IMM1 with [ MODE_SP1_and_IMM1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##]
-nqed.
-
-nlemma instr_mode_destruct_MODE_DIRn : ∀n1,n2.MODE_DIRn n1 = MODE_DIRn n2 → n1 = n2.
- #n1; #n2; #H;
- nchange with (match MODE_DIRn n2 with [ MODE_DIRn a ⇒ n1 = a | _ ⇒ False ]);
- nrewrite < H;
- nnormalize;
- napply refl_eq.
-nqed.
-
-ndefinition instr_mode_destruct31 :
- Πn1,i2.ΠP:Prop.MODE_DIRn n1 = i2 →
-  match i2 with
-   [ MODE_DIRn n2 ⇒ match n1 with
-    [ o0 ⇒ match n2 with [ o0 ⇒ P → P | _ ⇒ P ] | o1 ⇒ match n2 with [ o1 ⇒ P → P | _ ⇒ P ]
-    | o2 ⇒ match n2 with [ o2 ⇒ P → P | _ ⇒ P ] | o3 ⇒ match n2 with [ o3 ⇒ P → P | _ ⇒ P ]
-    | o4 ⇒ match n2 with [ o4 ⇒ P → P | _ ⇒ P ] | o5 ⇒ match n2 with [ o5 ⇒ P → P | _ ⇒ P ]
-    | o6 ⇒ match n2 with [ o6 ⇒ P → P | _ ⇒ P ] | o7 ⇒ match n2 with [ o7 ⇒ P → P | _ ⇒ P ]]
-   | _ ⇒ P ].
- #n1; #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_DIRn n1 with [ MODE_DIRn a ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##32,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_DIRn n1 with [ MODE_DIRn n1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31: #n2;
-     ncases n1;
-     ncases n2;
-     nnormalize;
-     ##[ ##1,10,19,28,37,46,55,64: #H; napply (λx:P.x)
-     ##| ##*: #H; napply (oct_destruct … (instr_mode_destruct_MODE_DIRn … H))
-     ##]
-nqed.
-
-nlemma instr_mode_destruct_MODE_DIRn_and_IMM1 : ∀n1,n2.MODE_DIRn_and_IMM1 n1 = MODE_DIRn_and_IMM1 n2 → n1 = n2.
- #n1; #n2; #H;
- nchange with (match MODE_DIRn_and_IMM1 n2 with [ MODE_DIRn_and_IMM1 a ⇒ n1 = a | _ ⇒ False ]);
- nrewrite < H;
- nnormalize;
- napply refl_eq.
-nqed.
-
-ndefinition instr_mode_destruct32 :
- Πn1,i2.ΠP:Prop.MODE_DIRn_and_IMM1 n1 = i2 →
-  match i2 with
-   [ MODE_DIRn_and_IMM1 n2 ⇒ match n1 with
-    [ o0 ⇒ match n2 with [ o0 ⇒ P → P | _ ⇒ P ] | o1 ⇒ match n2 with [ o1 ⇒ P → P | _ ⇒ P ]
-    | o2 ⇒ match n2 with [ o2 ⇒ P → P | _ ⇒ P ] | o3 ⇒ match n2 with [ o3 ⇒ P → P | _ ⇒ P ]
-    | o4 ⇒ match n2 with [ o4 ⇒ P → P | _ ⇒ P ] | o5 ⇒ match n2 with [ o5 ⇒ P → P | _ ⇒ P ]
-    | o6 ⇒ match n2 with [ o6 ⇒ P → P | _ ⇒ P ] | o7 ⇒ match n2 with [ o7 ⇒ P → P | _ ⇒ P ]]
-   | _ ⇒ P ].
- #n1; #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_DIRn_and_IMM1 n1 with [ MODE_DIRn_and_IMM1 a ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,33,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_DIRn_and_IMM1 n1 with [ MODE_DIRn_and_IMM1 n1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##32: #n2;
-     ncases n1;
-     ncases n2;
-     nnormalize;
-     ##[ ##1,10,19,28,37,46,55,64: #H; napply (λx:P.x)
-     ##| ##*: #H; napply (oct_destruct … (instr_mode_destruct_MODE_DIRn_and_IMM1 … H))
-     ##]
-nqed.
-
-nlemma instr_mode_destruct_MODE_TNY : ∀n1,n2.MODE_TNY n1 = MODE_TNY n2 → n1 = n2.
- #n1; #n2; #H;
- nchange with (match MODE_TNY n2 with [ MODE_TNY a ⇒ n1 = a | _ ⇒ False ]);
- nrewrite < H;
- nnormalize;
- napply refl_eq.
-nqed.
-
-ndefinition instr_mode_destruct33 :
- Πn1,i2.ΠP:Prop.MODE_TNY n1 = i2 →
-  match i2 with
-   [ MODE_TNY n2 ⇒ match n1 with
-    [ x0 ⇒ match n2 with [ x0 ⇒ P → P | _ ⇒ P ] | x1 ⇒ match n2 with [ x1 ⇒ P → P | _ ⇒ P ]
-    | x2 ⇒ match n2 with [ x2 ⇒ P → P | _ ⇒ P ] | x3 ⇒ match n2 with [ x3 ⇒ P → P | _ ⇒ P ]
-    | x4 ⇒ match n2 with [ x4 ⇒ P → P | _ ⇒ P ] | x5 ⇒ match n2 with [ x5 ⇒ P → P | _ ⇒ P ]
-    | x6 ⇒ match n2 with [ x6 ⇒ P → P | _ ⇒ P ] | x7 ⇒ match n2 with [ x7 ⇒ P → P | _ ⇒ P ]
-    | x8 ⇒ match n2 with [ x8 ⇒ P → P | _ ⇒ P ] | x9 ⇒ match n2 with [ x9 ⇒ P → P | _ ⇒ P ]
-    | xA ⇒ match n2 with [ xA ⇒ P → P | _ ⇒ P ] | xB ⇒ match n2 with [ xB ⇒ P → P | _ ⇒ P ]
-    | xC ⇒ match n2 with [ xC ⇒ P → P | _ ⇒ P ] | xD ⇒ match n2 with [ xD ⇒ P → P | _ ⇒ P ]
-    | xE ⇒ match n2 with [ xE ⇒ P → P | _ ⇒ P ] | xF ⇒ match n2 with [ xF ⇒ P → P | _ ⇒ P ]]
-   | _ ⇒ P ].
- #n1; #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_TNY n1 with [ MODE_TNY a ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,34: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_TNY n1 with [ MODE_TNY n1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##33: #n2;
-     ncases n1;
-     ncases n2;
-     nnormalize;
-     ##[ ##1,18,35,52,69,86,103,120,137,154,171,188,205,222,239,256: #H; napply (λx:P.x)
-     ##| ##*: #H; napply (exadecim_destruct … (instr_mode_destruct_MODE_TNY … H))
-     ##]
-nqed.
-
-nlemma instr_mode_destruct_MODE_SRT : ∀n1,n2.MODE_SRT n1 = MODE_SRT n2 → n1 = n2.
- #n1; #n2; #H;
- nchange with (match MODE_SRT n2 with [ MODE_SRT a ⇒ n1 = a | _ ⇒ False ]);
- nrewrite < H;
- nnormalize;
- napply refl_eq.
-nqed.
-
-ndefinition instr_mode_destruct34 :
- Πn1,i2.ΠP:Prop.MODE_SRT n1 = i2 →
-  match i2 with
-   [ MODE_SRT n2 ⇒ match n1 with
-    [ t00 ⇒ match n2 with [ t00 ⇒ P → P | _ ⇒ P ] | t01 ⇒ match n2 with [ t01 ⇒ P → P | _ ⇒ P ]
-    | t02 ⇒ match n2 with [ t02 ⇒ P → P | _ ⇒ P ] | t03 ⇒ match n2 with [ t03 ⇒ P → P | _ ⇒ P ]
-    | t04 ⇒ match n2 with [ t04 ⇒ P → P | _ ⇒ P ] | t05 ⇒ match n2 with [ t05 ⇒ P → P | _ ⇒ P ]
-    | t06 ⇒ match n2 with [ t06 ⇒ P → P | _ ⇒ P ] | t07 ⇒ match n2 with [ t07 ⇒ P → P | _ ⇒ P ]
-    | t08 ⇒ match n2 with [ t08 ⇒ P → P | _ ⇒ P ] | t09 ⇒ match n2 with [ t09 ⇒ P → P | _ ⇒ P ]
-    | t0A ⇒ match n2 with [ t0A ⇒ P → P | _ ⇒ P ] | t0B ⇒ match n2 with [ t0B ⇒ P → P | _ ⇒ P ]
-    | t0C ⇒ match n2 with [ t0C ⇒ P → P | _ ⇒ P ] | t0D ⇒ match n2 with [ t0D ⇒ P → P | _ ⇒ P ]
-    | t0E ⇒ match n2 with [ t0E ⇒ P → P | _ ⇒ P ] | t0F ⇒ match n2 with [ t0F ⇒ P → P | _ ⇒ P ]
-    | t10 ⇒ match n2 with [ t10 ⇒ P → P | _ ⇒ P ] | t11 ⇒ match n2 with [ t11 ⇒ P → P | _ ⇒ P ]
-    | t12 ⇒ match n2 with [ t12 ⇒ P → P | _ ⇒ P ] | t13 ⇒ match n2 with [ t13 ⇒ P → P | _ ⇒ P ]
-    | t14 ⇒ match n2 with [ t14 ⇒ P → P | _ ⇒ P ] | t15 ⇒ match n2 with [ t15 ⇒ P → P | _ ⇒ P ]
-    | t16 ⇒ match n2 with [ t16 ⇒ P → P | _ ⇒ P ] | t17 ⇒ match n2 with [ t17 ⇒ P → P | _ ⇒ P ]
-    | t18 ⇒ match n2 with [ t18 ⇒ P → P | _ ⇒ P ] | t19 ⇒ match n2 with [ t19 ⇒ P → P | _ ⇒ P ]
-    | t1A ⇒ match n2 with [ t1A ⇒ P → P | _ ⇒ P ] | t1B ⇒ match n2 with [ t1B ⇒ P → P | _ ⇒ P ]
-    | t1C ⇒ match n2 with [ t1C ⇒ P → P | _ ⇒ P ] | t1D ⇒ match n2 with [ t1D ⇒ P → P | _ ⇒ P ]
-    | t1E ⇒ match n2 with [ t1E ⇒ P → P | _ ⇒ P ] | t1F ⇒ match n2 with [ t1F ⇒ P → P | _ ⇒ P ]]
-   | _ ⇒ P ].
- #n1; #i2; #P;
- ncases i2;
- nnormalize;
- ##[ ##1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30: #H;
-     napply False_ind;
-     nchange with (match MODE_SRT n1 with [ MODE_SRT a ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##31,32,33: #n; #H;
-     napply False_ind;
-     nchange with (match MODE_SRT n1 with [ MODE_SRT n1 ⇒ False | _ ⇒ True ]);
-     nrewrite > H; nnormalize; napply I
- ##| ##34: #n2;
-     ncases n1;
-     ##[ ##1: ncases n2; nnormalize;
-              ##[ ##1: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##2: ncases n2; nnormalize;
-              ##[ ##2: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##3: ncases n2; nnormalize;
-              ##[ ##3: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##4: ncases n2; nnormalize;
-              ##[ ##4: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##5: ncases n2; nnormalize;
-              ##[ ##5: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##6: ncases n2; nnormalize;
-              ##[ ##6: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##7: ncases n2; nnormalize;
-              ##[ ##7: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##8: ncases n2; nnormalize;
-              ##[ ##8: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##9: ncases n2; nnormalize;
-              ##[ ##9: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##10: ncases n2; nnormalize;
-              ##[ ##10: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##11: ncases n2; nnormalize;
-              ##[ ##11: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##12: ncases n2; nnormalize;
-              ##[ ##12: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##13: ncases n2; nnormalize;
-              ##[ ##13: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##14: ncases n2; nnormalize;
-              ##[ ##14: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##15: ncases n2; nnormalize;
-              ##[ ##15: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##16: ncases n2; nnormalize;
-              ##[ ##16: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##17: ncases n2; nnormalize;
-              ##[ ##17: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##18: ncases n2; nnormalize;
-              ##[ ##18: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##19: ncases n2; nnormalize;
-              ##[ ##19: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##20: ncases n2; nnormalize;
-              ##[ ##20: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##21: ncases n2; nnormalize;
-              ##[ ##21: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##22: ncases n2; nnormalize;
-              ##[ ##22: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##23: ncases n2; nnormalize;
-              ##[ ##23: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##24: ncases n2; nnormalize;
-              ##[ ##24: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##25: ncases n2; nnormalize;
-              ##[ ##25: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##26: ncases n2; nnormalize;
-              ##[ ##26: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##27: ncases n2; nnormalize;
-              ##[ ##27: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##28: ncases n2; nnormalize;
-              ##[ ##28: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##29: ncases n2; nnormalize;
-              ##[ ##29: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##30: ncases n2; nnormalize;
-              ##[ ##30: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##31: ncases n2; nnormalize;
-              ##[ ##31: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##| ##32: ncases n2; nnormalize;
-              ##[ ##32: #H; napply (λx:P.x)
-              ##| ##*: #H; napply (bitrigesim_destruct … (instr_mode_destruct_MODE_SRT … H))
-              ##]
-     ##]
- ##]
-nqed.
-
-ndefinition instr_mode_destruct_aux ≝
-Πi1,i2.ΠP:Prop.i1 = i2 →
- match i1 with
-  [ MODE_INH ⇒ match i2 with [ MODE_INH ⇒ P → P | _ ⇒ P ]
-  | MODE_INHA ⇒ match i2 with [ MODE_INHA ⇒ P → P | _ ⇒ P ]
-  | MODE_INHX ⇒ match i2 with [ MODE_INHX ⇒ P → P | _ ⇒ P ]
-  | MODE_INHH ⇒ match i2 with [ MODE_INHH ⇒ P → P | _ ⇒ P ]
-  | MODE_INHX0ADD ⇒ match i2 with [ MODE_INHX0ADD ⇒ P → P | _ ⇒ P ]
-  | MODE_INHX1ADD ⇒ match i2 with [ MODE_INHX1ADD ⇒ P → P | _ ⇒ P ]
-  | MODE_INHX2ADD ⇒ match i2 with [ MODE_INHX2ADD ⇒ P → P | _ ⇒ P ]
-  | MODE_IMM1 ⇒ match i2 with [ MODE_IMM1 ⇒ P → P | _ ⇒ P ]
-  | MODE_IMM1EXT ⇒ match i2 with [ MODE_IMM1EXT ⇒ P → P | _ ⇒ P ]
-  | MODE_IMM2 ⇒ match i2 with [ MODE_IMM2 ⇒ P → P | _ ⇒ P ]
-  | MODE_DIR1 ⇒ match i2 with [ MODE_DIR1 ⇒ P → P | _ ⇒ P ]
-  | MODE_DIR2 ⇒ match i2 with [ MODE_DIR2 ⇒ P → P | _ ⇒ P ]
-  | MODE_IX0 ⇒ match i2 with [ MODE_IX0 ⇒ P → P | _ ⇒ P ]
-  | MODE_IX1 ⇒ match i2 with [ MODE_IX1 ⇒ P → P | _ ⇒ P ]
-  | MODE_IX2 ⇒ match i2 with [ MODE_IX2 ⇒ P → P | _ ⇒ P ]
-  | MODE_SP1 ⇒ match i2 with [ MODE_SP1 ⇒ P → P | _ ⇒ P ]
-  | MODE_SP2 ⇒ match i2 with [ MODE_SP2 ⇒ P → P | _ ⇒ P ]
-  | MODE_DIR1_to_DIR1  ⇒ match i2 with [ MODE_DIR1_to_DIR1  ⇒ P → P | _ ⇒ P ]
-  | MODE_IMM1_to_DIR1 ⇒ match i2 with [ MODE_IMM1_to_DIR1 ⇒ P → P | _ ⇒ P ]
-  | MODE_IX0p_to_DIR1 ⇒ match i2 with [ MODE_IX0p_to_DIR1 ⇒ P → P | _ ⇒ P ]
-  | MODE_DIR1_to_IX0p ⇒ match i2 with [ MODE_DIR1_to_IX0p ⇒ P → P | _ ⇒ P ]
-  | MODE_INHA_and_IMM1 ⇒ match i2 with [ MODE_INHA_and_IMM1 ⇒ P → P | _ ⇒ P ]
-  | MODE_INHX_and_IMM1 ⇒ match i2 with [ MODE_INHX_and_IMM1 ⇒ P → P | _ ⇒ P ]
-  | MODE_IMM1_and_IMM1 ⇒ match i2 with [ MODE_IMM1_and_IMM1 ⇒ P → P | _ ⇒ P ]
-  | MODE_DIR1_and_IMM1 ⇒ match i2 with [ MODE_DIR1_and_IMM1 ⇒ P → P | _ ⇒ P ]
-  | MODE_IX0_and_IMM1 ⇒ match i2 with [ MODE_IX0_and_IMM1 ⇒ P → P | _ ⇒ P ]
-  | MODE_IX0p_and_IMM1 ⇒ match i2 with [ MODE_IX0p_and_IMM1 ⇒ P → P | _ ⇒ P ]
-  | MODE_IX1_and_IMM1 ⇒ match i2 with [ MODE_IX1_and_IMM1 ⇒ P → P | _ ⇒ P ]
-  | MODE_IX1p_and_IMM1 ⇒ match i2 with [ MODE_IX1p_and_IMM1 ⇒ P → P | _ ⇒ P ]
-  | MODE_SP1_and_IMM1 ⇒ match i2 with [ MODE_SP1_and_IMM1 ⇒ P → P | _ ⇒ P ]
-  | MODE_DIRn n1 ⇒ match i2 with
-   [ MODE_DIRn n2 ⇒ match n1 with
-    [ o0 ⇒ match n2 with [ o0 ⇒ P → P | _ ⇒ P ] | o1 ⇒ match n2 with [ o1 ⇒ P → P | _ ⇒ P ]
-    | o2 ⇒ match n2 with [ o2 ⇒ P → P | _ ⇒ P ] | o3 ⇒ match n2 with [ o3 ⇒ P → P | _ ⇒ P ]
-    | o4 ⇒ match n2 with [ o4 ⇒ P → P | _ ⇒ P ] | o5 ⇒ match n2 with [ o5 ⇒ P → P | _ ⇒ P ]
-    | o6 ⇒ match n2 with [ o6 ⇒ P → P | _ ⇒ P ] | o7 ⇒ match n2 with [ o7 ⇒ P → P | _ ⇒ P ]]
-   | _ ⇒ P ]
-  | MODE_DIRn_and_IMM1 n1 ⇒ match i2 with
-   [ MODE_DIRn_and_IMM1 n2 ⇒ match n1 with
-    [ o0 ⇒ match n2 with [ o0 ⇒ P → P | _ ⇒ P ] | o1 ⇒ match n2 with [ o1 ⇒ P → P | _ ⇒ P ] 
-    | o2 ⇒ match n2 with [ o2 ⇒ P → P | _ ⇒ P ] | o3 ⇒ match n2 with [ o3 ⇒ P → P | _ ⇒ P ]
-    | o4 ⇒ match n2 with [ o4 ⇒ P → P | _ ⇒ P ] | o5 ⇒ match n2 with [ o5 ⇒ P → P | _ ⇒ P ]
-    | o6 ⇒ match n2 with [ o6 ⇒ P → P | _ ⇒ P ] | o7 ⇒ match n2 with [ o7 ⇒ P → P | _ ⇒ P ]]
-   | _ ⇒ P ]
-  | MODE_TNY e1 ⇒ match i2 with
-   [ MODE_TNY e2 ⇒ match e1 with
-    [ x0 ⇒ match e2 with [ x0 ⇒ P → P | _ ⇒ P ] | x1 ⇒ match e2 with [ x1 ⇒ P → P | _ ⇒ P ]
-    | x2 ⇒ match e2 with [ x2 ⇒ P → P | _ ⇒ P ] | x3 ⇒ match e2 with [ x3 ⇒ P → P | _ ⇒ P ]
-    | x4 ⇒ match e2 with [ x4 ⇒ P → P | _ ⇒ P ] | x5 ⇒ match e2 with [ x5 ⇒ P → P | _ ⇒ P ]
-    | x6 ⇒ match e2 with [ x6 ⇒ P → P | _ ⇒ P ] | x7 ⇒ match e2 with [ x7 ⇒ P → P | _ ⇒ P ]
-    | x8 ⇒ match e2 with [ x8 ⇒ P → P | _ ⇒ P ] | x9 ⇒ match e2 with [ x9 ⇒ P → P | _ ⇒ P ]
-    | xA ⇒ match e2 with [ xA ⇒ P → P | _ ⇒ P ] | xB ⇒ match e2 with [ xB ⇒ P → P | _ ⇒ P ]
-    | xC ⇒ match e2 with [ xC ⇒ P → P | _ ⇒ P ] | xD ⇒ match e2 with [ xD ⇒ P → P | _ ⇒ P ]
-    | xE ⇒ match e2 with [ xE ⇒ P → P | _ ⇒ P ] | xF ⇒ match e2 with [ xF ⇒ P → P | _ ⇒ P ]]
-   | _ ⇒ P ]
-  | MODE_SRT t1 ⇒ match i2 with
-   [ MODE_SRT t2 ⇒ match t1 with
-    [ t00 ⇒ match t2 with [ t00 ⇒ P → P | _ ⇒ P ] | t01 ⇒ match t2 with [ t01 ⇒ P → P | _ ⇒ P ]
-    | t02 ⇒ match t2 with [ t02 ⇒ P → P | _ ⇒ P ] | t03 ⇒ match t2 with [ t03 ⇒ P → P | _ ⇒ P ]
-    | t04 ⇒ match t2 with [ t04 ⇒ P → P | _ ⇒ P ] | t05 ⇒ match t2 with [ t05 ⇒ P → P | _ ⇒ P ]
-    | t06 ⇒ match t2 with [ t06 ⇒ P → P | _ ⇒ P ] | t07 ⇒ match t2 with [ t07 ⇒ P → P | _ ⇒ P ]
-    | t08 ⇒ match t2 with [ t08 ⇒ P → P | _ ⇒ P ] | t09 ⇒ match t2 with [ t09 ⇒ P → P | _ ⇒ P ]
-    | t0A ⇒ match t2 with [ t0A ⇒ P → P | _ ⇒ P ] | t0B ⇒ match t2 with [ t0B ⇒ P → P | _ ⇒ P ]
-    | t0C ⇒ match t2 with [ t0C ⇒ P → P | _ ⇒ P ] | t0D ⇒ match t2 with [ t0D ⇒ P → P | _ ⇒ P ]
-    | t0E ⇒ match t2 with [ t0E ⇒ P → P | _ ⇒ P ] | t0F ⇒ match t2 with [ t0F ⇒ P → P | _ ⇒ P ]
-    | t10 ⇒ match t2 with [ t10 ⇒ P → P | _ ⇒ P ] | t11 ⇒ match t2 with [ t11 ⇒ P → P | _ ⇒ P ]
-    | t12 ⇒ match t2 with [ t12 ⇒ P → P | _ ⇒ P ] | t13 ⇒ match t2 with [ t13 ⇒ P → P | _ ⇒ P ]
-    | t14 ⇒ match t2 with [ t14 ⇒ P → P | _ ⇒ P ] | t15 ⇒ match t2 with [ t15 ⇒ P → P | _ ⇒ P ]
-    | t16 ⇒ match t2 with [ t16 ⇒ P → P | _ ⇒ P ] | t17 ⇒ match t2 with [ t17 ⇒ P → P | _ ⇒ P ]
-    | t18 ⇒ match t2 with [ t18 ⇒ P → P | _ ⇒ P ] | t19 ⇒ match t2 with [ t19 ⇒ P → P | _ ⇒ P ]
-    | t1A ⇒ match t2 with [ t1A ⇒ P → P | _ ⇒ P ] | t1B ⇒ match t2 with [ t1B ⇒ P → P | _ ⇒ P ]
-    | t1C ⇒ match t2 with [ t1C ⇒ P → P | _ ⇒ P ] | t1D ⇒ match t2 with [ t1D ⇒ P → P | _ ⇒ P ]
-    | t1E ⇒ match t2 with [ t1E ⇒ P → P | _ ⇒ P ] | t1F ⇒ match t2 with [ t1F ⇒ P → P | _ ⇒ P ]]
-    | _ ⇒ P ]
-  ].
-
-ndefinition instr_mode_destruct : instr_mode_destruct_aux.
- #t1; ncases t1;
- ##[ ##1: napply instr_mode_destruct1 ##| ##2: napply instr_mode_destruct2
- ##| ##3: napply instr_mode_destruct3 ##| ##4: napply instr_mode_destruct4
- ##| ##5: napply instr_mode_destruct5 ##| ##6: napply instr_mode_destruct6
- ##| ##7: napply instr_mode_destruct7 ##| ##8: napply instr_mode_destruct8
- ##| ##9: napply instr_mode_destruct9 ##| ##10: napply instr_mode_destruct10
- ##| ##11: napply instr_mode_destruct11 ##| ##12: napply instr_mode_destruct12
- ##| ##13: napply instr_mode_destruct13 ##| ##14: napply instr_mode_destruct14
- ##| ##15: napply instr_mode_destruct15 ##| ##16: napply instr_mode_destruct16
- ##| ##17: napply instr_mode_destruct17 ##| ##18: napply instr_mode_destruct18
- ##| ##19: napply instr_mode_destruct19 ##| ##20: napply instr_mode_destruct20
- ##| ##21: napply instr_mode_destruct21 ##| ##22: napply instr_mode_destruct22
- ##| ##23: napply instr_mode_destruct23 ##| ##24: napply instr_mode_destruct24
- ##| ##25: napply instr_mode_destruct25 ##| ##26: napply instr_mode_destruct26
- ##| ##27: napply instr_mode_destruct27 ##| ##28: napply instr_mode_destruct28
- ##| ##29: napply instr_mode_destruct29 ##| ##30: napply instr_mode_destruct30
- ##| ##31: napply instr_mode_destruct31 ##| ##32: napply instr_mode_destruct32
- ##| ##33: napply instr_mode_destruct33 ##| ##34: napply instr_mode_destruct34
- ##]
-nqed.