X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_assembly%2Fcommon%2Fnat_lemmas.ma;h=64eeb50f122f07b427be0003725cd2c1b136a6a9;hb=a90c31c1b53222bd6d57360c5ba5c2d0fe7d5207;hp=06ace91b2581313105126405c4ea51603ffbccaf;hpb=4377e950998c9c63937582952a79975947aa9a45;p=helm.git diff --git a/helm/software/matita/contribs/ng_assembly/common/nat_lemmas.ma b/helm/software/matita/contribs/ng_assembly/common/nat_lemmas.ma index 06ace91b2..64eeb50f1 100644 --- a/helm/software/matita/contribs/ng_assembly/common/nat_lemmas.ma +++ b/helm/software/matita/contribs/ng_assembly/common/nat_lemmas.ma @@ -16,7 +16,7 @@ (* Progetto FreeScale *) (* *) (* Sviluppato da: Ing. Cosimo Oliboni, oliboni@cs.unibo.it *) -(* Sviluppo: 2008-2010 *) +(* Ultima modifica: 05/08/2009 *) (* *) (* ********************************************************************** *) @@ -35,7 +35,6 @@ nlemma nat_destruct_S_S : ∀n1,n2:nat.S n1 = S n2 → n1 = n2. napply refl_eq. nqed. -(* !!! da togliere *) nlemma nat_destruct_0_S : ∀n:nat.O = S n → False. #n; #H; nchange with (match S n with [ O ⇒ True | S a ⇒ False ]); @@ -44,7 +43,6 @@ nlemma nat_destruct_0_S : ∀n:nat.O = S n → False. napply I. nqed. -(* !!! da togliere *) nlemma nat_destruct_S_0 : ∀n:nat.S n = O → False. #n; #H; nchange with (match S n with [ O ⇒ True | S a ⇒ False ]); @@ -60,12 +58,12 @@ nlemma eq_to_eqnat : ∀n1,n2:nat.n1 = n2 → eq_nat n1 n2 = true. nelim n2; nnormalize; ##[ ##1: #H; napply refl_eq - ##| ##2: #n3; #H; #H1; ndestruct (*nelim (nat_destruct_0_S ? H1)*) + ##| ##2: #n3; #H; #H1; nelim (nat_destruct_0_S ? H1) ##] ##| ##2: #n2; #H; #n3; #H1; ncases n3 in H1:(%) ⊢ %; nnormalize; - ##[ ##1: #H1; ndestruct (*nelim (nat_destruct_S_0 ? H1)*) + ##[ ##1: #H1; nelim (nat_destruct_S_0 ? H1) ##| ##2: #n4; #H1; napply (H n4 (nat_destruct_S_S … H1)) ##] @@ -87,12 +85,12 @@ nlemma eqnat_to_eq : ∀n1,n2:nat.(eq_nat n1 n2 = true → n1 = n2). nelim n2; nnormalize; ##[ ##1: #H; napply refl_eq - ##| ##2: #n3; #H; #H1; ndestruct (*napply (bool_destruct … (O = S n3) H1)*) + ##| ##2: #n3; #H; #H1; napply (bool_destruct … (O = S n3) H1) ##] ##| ##2: #n2; #H; #n3; #H1; ncases n3 in H1:(%) ⊢ %; nnormalize; - ##[ ##1: #H1; ndestruct (*napply (bool_destruct … (S n2 = O) H1)*) + ##[ ##1: #H1; napply (bool_destruct … (S n2 = O) H1) ##| ##2: #n4; #H1; nrewrite > (H n4 H1); napply refl_eq