X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_equivalence%2Fcpes_aaa.ma;h=b0e54c4f195d542a188d0e7c16ef5fd27e226489;hp=06eacc6742636357522321bcec1df9f994265ea0;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes_aaa.ma index 06eacc674..b0e54c4f1 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes_aaa.ma @@ -21,7 +21,7 @@ include "basic_2/rt_equivalence/cpes.ma". (* Basic_2A1: uses: scpes_refl *) lemma cpes_refl_aaa (h) (n): - ∀G,L,T,A. ⦃G,L⦄ ⊢ T ⁝ A → ⦃G,L⦄ ⊢ T ⬌*[h,n,n] T. + ∀G,L,T,A. ❪G,L❫ ⊢ T ⁝ A → ❪G,L❫ ⊢ T ⬌*[h,n,n] T. #h #n #G #L #T #A #HA elim (cpms_total_aaa h … n … HA) #U #HTU /2 width=3 by cpms_div/ @@ -31,8 +31,8 @@ qed. (* Basic_2A1: uses: scpes_aaa_mono *) theorem cpes_aaa_mono (h) (n1) (n2): - ∀G,L,T1,T2. ⦃G,L⦄ ⊢ T1 ⬌*[h,n1,n2] T2 → - ∀A1. ⦃G,L⦄ ⊢ T1 ⁝ A1 → ∀A2. ⦃G,L⦄ ⊢ T2 ⁝ A2 → A1 = A2. + ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬌*[h,n1,n2] T2 → + ∀A1. ❪G,L❫ ⊢ T1 ⁝ A1 → ∀A2. ❪G,L❫ ⊢ T2 ⁝ A2 → A1 = A2. #h #n1 #n2 #G #L #T1 #T2 * #T #HT1 #HT2 #A1 #HA1 #A2 #HA2 lapply (cpms_aaa_conf … HA1 … HT1) -T1 #HA1 lapply (cpms_aaa_conf … HA2 … HT2) -T2 #HA2