freescale porting, work in progress

[helm.git] / helm / software / matita / contribs / ng_assembly / num / byte8_lemmas.ma

diff --git a/helm/software/matita/contribs/ng_assembly/num/byte8_lemmas.ma b/helm/software/matita/contribs/ng_assembly/num/byte8_lemmas.ma
index 3165dd2553aae51cca481e4c1bfea29adb5356c6..38c472806f2cf135c0e96af833ffc254b129843b 100755 (executable)
--- a/helm/software/matita/contribs/ng_assembly/num/byte8_lemmas.ma
+++ b/helm/software/matita/contribs/ng_assembly/num/byte8_lemmas.ma
@@ -143,20 +143,14 @@ nlemma symmetric_plusb8_dc_dc : ∀b1,b2,c.plus_b8_dc_dc b1 b2 c = plus_b8_dc_dc
  nelim b2;
  #e3; #e4;
  nchange with (
-  match plus_ex_dc_dc e2 e4 c with
-   [ pair l c ⇒ match plus_ex_dc_dc e1 e3 c with
-    [ pair h c' ⇒ pair … 〈h,l〉 c' ]] =
-  match plus_ex_dc_dc e4 e2 c with
-   [ pair l c ⇒ match plus_ex_dc_dc e3 e1 c with
-    [ pair h c' ⇒ pair … 〈h,l〉 c' ]]);
+  match plus_ex_dc_dc e2 e4 c with [ pair l c ⇒ match plus_ex_dc_dc e1 e3 c with [ pair h c' ⇒ pair … 〈h,l〉 c' ]] =
+  match plus_ex_dc_dc e4 e2 c with [ pair l c ⇒ match plus_ex_dc_dc e3 e1 c with [ pair h c' ⇒ pair … 〈h,l〉 c' ]]);
  nrewrite > (symmetric_plusex_dc_dc e4 e2 c);
  ncases (plus_ex_dc_dc e2 e4 c);
  #e5; #c1;
  nchange with (
-  match plus_ex_dc_dc e1 e3 c1 with
-   [ pair h c' ⇒ pair … 〈h,e5〉 c' ] =
-  match plus_ex_dc_dc e3 e1 c1 with
-   [ pair h c' ⇒ pair … 〈h,e5〉 c' ]);
+  match plus_ex_dc_dc e1 e3 c1 with [ pair h c' ⇒ pair … 〈h,e5〉 c' ] =
+  match plus_ex_dc_dc e3 e1 c1 with [ pair h c' ⇒ pair … 〈h,e5〉 c' ]);
  nrewrite > (symmetric_plusex_dc_dc e1 e3 c1);
  napply refl_eq.
 nqed.
@@ -168,10 +162,8 @@ nlemma symmetric_plusb8_dc_d : ∀b1,b2,c.plus_b8_dc_d b1 b2 c = plus_b8_dc_d b2
  nelim b2;
  #e3; #e4;
  nchange with (
-  match plus_ex_dc_dc e2 e4 c with
-   [ pair l c ⇒ 〈plus_ex_dc_d e1 e3 c,l〉 ] =
-  match plus_ex_dc_dc e4 e2 c with
-   [ pair l c ⇒ 〈plus_ex_dc_d e3 e1 c,l〉 ]);
+  match plus_ex_dc_dc e2 e4 c with [ pair l c ⇒ 〈plus_ex_dc_d e1 e3 c,l〉 ] =
+  match plus_ex_dc_dc e4 e2 c with [ pair l c ⇒ 〈plus_ex_dc_d e3 e1 c,l〉 ]);
  nrewrite > (symmetric_plusex_dc_dc e4 e2 c);
  ncases (plus_ex_dc_dc e2 e4 c);
  #e5; #c1;
@@ -201,20 +193,14 @@ nlemma symmetric_plusb8_d_dc : ∀b1,b2.plus_b8_d_dc b1 b2 = plus_b8_d_dc b2 b1.
  nelim b2;
  #e3; #e4;
  nchange with (
-  match plus_ex_d_dc e2 e4 with
-   [ pair l c ⇒ match plus_ex_dc_dc e1 e3 c with
-    [ pair h c' ⇒ pair … 〈h,l〉 c' ]] =
-  match plus_ex_d_dc e4 e2 with
-   [ pair l c ⇒ match plus_ex_dc_dc e3 e1 c with
-    [ pair h c' ⇒ pair … 〈h,l〉 c' ]]);
+  match plus_ex_d_dc e2 e4 with [ pair l c ⇒ match plus_ex_dc_dc e1 e3 c with [ pair h c' ⇒ pair … 〈h,l〉 c' ]] =
+  match plus_ex_d_dc e4 e2 with [ pair l c ⇒ match plus_ex_dc_dc e3 e1 c with [ pair h c' ⇒ pair … 〈h,l〉 c' ]]);
  nrewrite > (symmetric_plusex_d_dc e4 e2);
  ncases (plus_ex_d_dc e2 e4);
  #e5; #c;
  nchange with (
-  match plus_ex_dc_dc e1 e3 c with
-   [ pair h c' ⇒ pair … 〈h,e5〉 c' ] =
-  match plus_ex_dc_dc e3 e1 c with
-   [ pair h c' ⇒ pair … 〈h,e5〉 c' ]);
+  match plus_ex_dc_dc e1 e3 c with [ pair h c' ⇒ pair … 〈h,e5〉 c' ] =
+  match plus_ex_dc_dc e3 e1 c with [ pair h c' ⇒ pair … 〈h,e5〉 c' ]);
  nrewrite > (symmetric_plusex_dc_dc e1 e3 c);
  napply refl_eq.
 nqed.
@@ -226,10 +212,8 @@ nlemma symmetric_plusb8_d_d : ∀b1,b2.plus_b8_d_d b1 b2 = plus_b8_d_d b2 b1.
  nelim b2;
  #e3; #e4;
  nchange with (
-  match plus_ex_d_dc e2 e4 with
-   [ pair l c ⇒ 〈plus_ex_dc_d e1 e3 c,l〉 ] =
-  match plus_ex_d_dc e4 e2 with
-   [ pair l c ⇒ 〈plus_ex_dc_d e3 e1 c,l〉 ]);
+  match plus_ex_d_dc e2 e4 with [ pair l c ⇒ 〈plus_ex_dc_d e1 e3 c,l〉 ] =
+  match plus_ex_d_dc e4 e2 with [ pair l c ⇒ 〈plus_ex_dc_d e3 e1 c,l〉 ]);
  nrewrite > (symmetric_plusex_d_dc e4 e2);
  ncases (plus_ex_d_dc e2 e4);
  #e5; #c;
@@ -320,7 +304,7 @@ nlemma neqb8_to_neq : ∀b1,b2:byte8.(eq_b8 b1 b2 = false) → (b1 ≠ b2).
  #e1; #e2; #e3; #e4;
  nchange with ((((eq_ex e3 e1) ⊗ (eq_ex e4 e2)) = false) → ?);
  #H;
- napply (or2_elim ((eq_ex e3 e1) = false) ((eq_ex e4 e2) = false) ? (andb_false … H) …);
+ napply (or2_elim ((eq_ex e3 e1) = false) ((eq_ex e4 e2) = false) ? (andb_false2 … H) …);
  ##[ ##1: #H1; napply (decidable_b8_aux1 … (neqex_to_neq … H1))
  ##| ##2: #H1; napply (decidable_b8_aux2 … (neqex_to_neq … H1))
  ##]