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[helm.git] / matitaB / matita / contribs / ng_assembly / emulator / opcodes / pseudo_lemmas.ma

diff --git a/matitaB/matita/contribs/ng_assembly/emulator/opcodes/pseudo_lemmas.ma b/matitaB/matita/contribs/ng_assembly/emulator/opcodes/pseudo_lemmas.ma
new file mode 100755 (executable)
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+++ b/matitaB/matita/contribs/ng_assembly/emulator/opcodes/pseudo_lemmas.ma
@@ -0,0 +1,111 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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: Ing. Cosimo Oliboni, oliboni@cs.unibo.it              *)
+(*   Sviluppo: 2008-2010                                                  *)
+(*                                                                        *)
+(* ********************************************************************** *)
+
+include "emulator/opcodes/Freescale_pseudo_lemmas.ma".
+include "emulator/opcodes/Freescale_instr_mode_lemmas.ma".
+include "emulator/opcodes/IP2022_pseudo_lemmas.ma".
+include "emulator/opcodes/IP2022_instr_mode_lemmas.ma".
+include "emulator/opcodes/pseudo.ma".
+
+nlemma eq_to_eqpseudo : ∀m.∀n1,n2.(n1 = n2) → (eq_pseudo m n1 n2 = true).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply eq_to_eqFreescalepseudo
+ ##| ##5: napply eq_to_eqIP2022pseudo
+ ##]
+nqed.
+
+nlemma neqpseudo_to_neq : ∀m.∀n1,n2.(eq_pseudo m n1 n2 = false) → (n1 ≠ n2).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply neqFreescalepseudo_to_neq
+ ##| ##5: napply neqIP2022pseudo_to_neq
+ ##]
+nqed.
+
+nlemma eqpseudo_to_eq : ∀m.∀n1,n2.(eq_pseudo m n1 n2 = true) → (n1 = n2).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply eqFreescalepseudo_to_eq
+ ##| ##5: napply eqIP2022pseudo_to_eq
+ ##]
+nqed.
+
+nlemma neq_to_neqpseudo : ∀m.∀n1,n2.(n1 ≠ n2) → (eq_pseudo m n1 n2 = false).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply neq_to_neqFreescalepseudo
+ ##| ##5: napply neq_to_neqIP2022pseudo
+ ##]
+nqed.
+
+nlemma decidable_pseudo : ∀m.∀x,y:aux_pseudo_type m.decidable (x = y).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply decidable_Freescalepseudo
+ ##| ##5: napply decidable_IP2022pseudo
+ ##]
+nqed.
+
+nlemma symmetric_eqpseudo : ∀m.symmetricT (aux_pseudo_type m) bool (eq_pseudo m).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply symmetric_eqFreescalepseudo
+ ##| ##5: napply symmetric_eqIP2022pseudo
+ ##]
+nqed.
+
+nlemma eq_to_eqim : ∀m.∀n1,n2.(n1 = n2) → (eq_im m n1 n2 = true).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply eq_to_eqFreescaleim
+ ##| ##5: napply eq_to_eqIP2022im
+ ##]
+nqed.
+
+nlemma neqim_to_neq : ∀m.∀n1,n2.(eq_im m n1 n2 = false) → (n1 ≠ n2).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply neqFreescaleim_to_neq
+ ##| ##5: napply neqIP2022im_to_neq
+ ##]
+nqed.
+
+nlemma eqim_to_eq : ∀m.∀n1,n2.(eq_im m n1 n2 = true) → (n1 = n2).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply eqFreescaleim_to_eq
+ ##| ##5: napply eqIP2022im_to_eq
+ ##]
+nqed.
+
+nlemma neq_to_neqim : ∀m.∀n1,n2.(n1 ≠ n2) → (eq_im m n1 n2 = false).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply neq_to_neqFreescaleim
+ ##| ##5: napply neq_to_neqIP2022im
+ ##]
+nqed.
+
+nlemma decidable_im : ∀m.∀x,y:aux_im_type m.decidable (x = y).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply decidable_Freescaleim
+ ##| ##5: napply decidable_IP2022im
+ ##]
+nqed.
+
+nlemma symmetric_eqim : ∀m.symmetricT (aux_im_type m) bool (eq_im m).
+ #m; nelim m;
+ ##[ ##1,2,3,4: napply symmetric_eqFreescaleim
+ ##| ##5: napply symmetric_eqIP2022im
+ ##]
+nqed.