X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_assembly%2Fnum%2Fword32_lemmas.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_assembly%2Fnum%2Fword32_lemmas.ma;h=7f1c9ddc8d08d769ced18c0faf357fd23a6d7158;hb=29cfb9e2961e62c836cb50217905c0594a074e81;hp=2bb6c0b24c00df969d64e8307699d6c3e64a01f2;hpb=dc6723959a8e035e2935ca66bd3043de8eb11b42;p=helm.git diff --git a/helm/software/matita/contribs/ng_assembly/num/word32_lemmas.ma b/helm/software/matita/contribs/ng_assembly/num/word32_lemmas.ma index 2bb6c0b24..7f1c9ddc8 100755 --- a/helm/software/matita/contribs/ng_assembly/num/word32_lemmas.ma +++ b/helm/software/matita/contribs/ng_assembly/num/word32_lemmas.ma @@ -342,12 +342,12 @@ nlemma decidable_w32 : ∀x,y:word32.decidable (x = y). #x; nelim x; #w1; #w2; #y; nelim y; #w3; #w4; nnormalize; - napply (or_elim (w1 = w3) (w1 ≠ w3) ? (decidable_w16 w1 w3) …); - ##[ ##2: #H; napply (or_intror … (decidable_w32_aux1 w1 w2 w3 w4 H)) - ##| ##1: #H; napply (or_elim (w2 = w4) (w2 ≠ w4) ? (decidable_w16 w2 w4) …); - ##[ ##2: #H1; napply (or_intror … (decidable_w32_aux2 w1 w2 w3 w4 H1)) + napply (or2_elim (w1 = w3) (w1 ≠ w3) ? (decidable_w16 w1 w3) …); + ##[ ##2: #H; napply (or2_intro2 … (decidable_w32_aux1 w1 w2 w3 w4 H)) + ##| ##1: #H; napply (or2_elim (w2 = w4) (w2 ≠ w4) ? (decidable_w16 w2 w4) …); + ##[ ##2: #H1; napply (or2_intro2 … (decidable_w32_aux2 w1 w2 w3 w4 H1)) ##| ##1: #H1; nrewrite > H; nrewrite > H1; - napply (or_introl … (refl_eq ? 〈w3.w4〉)) + napply (or2_intro1 … (refl_eq ? 〈w3.w4〉)) ##] ##] nqed. @@ -359,7 +359,7 @@ nlemma neqw32_to_neq : ∀dw1,dw2:word32.(eq_w32 dw1 dw2 = false) → (dw1 ≠ d #w1; #w2; #w3; #w4; nchange with ((((eq_w16 w3 w1) ⊗ (eq_w16 w4 w2)) = false) → ?); #H; - napply (or_elim ((eq_w16 w3 w1) = false) ((eq_w16 w4 w2) = false) ? (andb_false … H) …); + napply (or2_elim ((eq_w16 w3 w1) = false) ((eq_w16 w4 w2) = false) ? (andb_false … H) …); ##[ ##1: #H1; napply (decidable_w32_aux1 … (neqw16_to_neq … H1)) ##| ##2: #H1; napply (decidable_w32_aux2 … (neqw16_to_neq … H1)) ##] @@ -368,10 +368,10 @@ nqed. nlemma word32_destruct : ∀w1,w2,w3,w4.〈w1.w2〉 ≠ 〈w3.w4〉 → w1 ≠ w3 ∨ w2 ≠ w4. #w1; #w2; #w3; #w4; nnormalize; #H; - napply (or_elim (w1 = w3) (w1 ≠ w3) ? (decidable_w16 w1 w3) …); - ##[ ##2: #H1; napply (or_introl … H1) - ##| ##1: #H1; napply (or_elim (w2 = w4) (w2 ≠ w4) ? (decidable_w16 w2 w4) …); - ##[ ##2: #H2; napply (or_intror … H2) + napply (or2_elim (w1 = w3) (w1 ≠ w3) ? (decidable_w16 w1 w3) …); + ##[ ##2: #H1; napply (or2_intro1 … H1) + ##| ##1: #H1; napply (or2_elim (w2 = w4) (w2 ≠ w4) ? (decidable_w16 w2 w4) …); + ##[ ##2: #H2; napply (or2_intro2 … H2) ##| ##1: #H2; nrewrite > H1 in H:(%); nrewrite > H2; #H; nelim (H (refl_eq …)) @@ -384,7 +384,7 @@ nlemma neq_to_neqw32 : ∀dw1,dw2.dw1 ≠ dw2 → eq_w32 dw1 dw2 = false. nelim dw1; #w1; #w2; nelim dw2; #w3; #w4; #H; nchange with (((eq_w16 w1 w3) ⊗ (eq_w16 w2 w4)) = false); - napply (or_elim (w1 ≠ w3) (w2 ≠ w4) ? (word32_destruct … H) …); + napply (or2_elim (w1 ≠ w3) (w2 ≠ w4) ? (word32_destruct … H) …); ##[ ##1: #H1; nrewrite > (neq_to_neqw16 … H1); nnormalize; napply refl_eq ##| ##2: #H1; nrewrite > (neq_to_neqw16 … H1); nrewrite > (symmetric_andbool (eq_w16 w1 w3) false);