1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* ********************************************************************** *)
16 (* Progetto FreeScale *)
18 (* Sviluppato da: Ing. Cosimo Oliboni, oliboni@cs.unibo.it *)
19 (* Ultima modifica: 05/08/2009 *)
21 (* ********************************************************************** *)
23 include "num/bool_lemmas.ma".
24 include "freescale/opcode_base.ma".
26 (* ********************************************** *)
27 (* MATTONI BASE PER DEFINIRE LE TABELLE DELLE MCU *)
28 (* ********************************************** *)
30 ndefinition mcu_type_destruct_aux ≝
31 Πm1,m2:mcu_type.ΠP:Prop.m1 = m2 →
32 match eq_mcutype m1 m2 with [ true ⇒ P → P | false ⇒ P ].
34 ndefinition mcutype_destruct : mcu_type_destruct_aux.
42 nlemma symmetric_eqmcutype : symmetricT mcu_type bool eq_mcutype.
50 nlemma eqmcutype_to_eq : ∀m1,m2:mcu_type.(eq_mcutype m1 m2 = true) → (m1 = m2).
55 ##[ ##1,6,11,16: #H; napply refl_eq
56 ##| ##*: #H; napply (bool_destruct … H)
60 nlemma eq_to_eqmcutype : ∀m1,m2.m1 = m2 → eq_mcutype m1 m2 = true.
65 ##[ ##1,6,11,16: #H; napply refl_eq
66 ##| ##*: #H; napply (mcutype_destruct … H)
70 nlemma decidable_mcutype : ∀x,y:mcu_type.decidable (x = y).
75 ##[ ##1,6,11,16: napply (or2_intro1 (? = ?) (? ≠ ?) …); napply refl_eq
76 ##| ##*: napply (or2_intro2 (? = ?) (? ≠ ?) …);
79 napply (mcutype_destruct … H)
83 nlemma neqmcutype_to_neq : ∀m1,m2:mcu_type.(eq_mcutype m1 m2 = false) → (m1 ≠ m2).
88 ##[ ##1,6,11,16: #H; napply (bool_destruct … H)
89 ##| ##*: #H; #H1; napply (mcutype_destruct … H1)
93 nlemma neq_to_neqmcutype : ∀m1,m2.m1 ≠ m2 → eq_mcutype m1 m2 = false.
98 ##[ ##1,6,11,16: #H; nelim (H (refl_eq …))
99 ##| ##*: #H; napply refl_eq