X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpx_feqx.ma;h=fc7a7d63169414eff37f19d3b16f65120fa68dab;hp=3d19c0bc9a2fb6fe6ef88d3ff9cd9efcc96dd01f;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.ma index 3d19c0bc9..fc7a7d631 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.ma @@ -20,9 +20,9 @@ include "basic_2/rt_transition/rpx_reqx.ma". (* Properties with sort-irrelevant equivalence for closures *****************) -lemma feqx_cpx_trans: ∀h,G1,G2,L1,L2,T1,T. ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T⦄ → - ∀T2. ⦃G2,L2⦄ ⊢ T ⬈[h] T2 → - ∃∃T0. ⦃G1,L1⦄ ⊢ T1 ⬈[h] T0 & ⦃G1,L1,T0⦄ ≛ ⦃G2,L2,T2⦄. +lemma feqx_cpx_trans: ∀h,G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛ ❪G2,L2,T❫ → + ∀T2. ❪G2,L2❫ ⊢ T ⬈[h] T2 → + ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈[h] T0 & ❪G1,L1,T0❫ ≛ ❪G2,L2,T2❫. #h #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2 elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct elim (reqx_cpx_trans … HL12 … HT2) #T0 #HT0 #HT02