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=333a402d309db4675a0ed5318d9d69052afa1310;hp=a0ec5d8f8eff632034d892359dabe805cba68139;hb=b2cdc4abd9ac87e39bc51b0d9c38daea179adbd5;hpb=3c7b4071a9ac096b02334c1d47468776b948e2de 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 a0ec5d8f8..333a402d3 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 @@ -20,14 +20,15 @@ include "basic_2/rt_transition/rpx_reqx.ma". (* Properties with sort-irrelevant equivalence for closures *****************) +(**) (* to update *) lemma feqx_cpx_trans: ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛ ❪G2,L2,T❫ → ∀T2. ❪G2,L2❫ ⊢ T ⬈ T2 → ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈ T0 & ❪G1,L1,T0❫ ≛ ❪G2,L2,T2❫. #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 -lapply (cpx_reqx_conf_dx … HT2 … HL12) -HL12 #HL12 -elim (teqx_cpx_trans … HT1 … HT0) -T #T #HT1 #HT0 -/4 width=5 by feqx_intro_dx, teqx_trans, ex2_intro/ +lapply (reqx_cpx_trans … HL12 … HT2) #H +lapply (cpx_reqx_conf_dx … HT2 … HL12) -HT2 -HL12 #HL12 +lapply (teqx_cpx_trans … HT1 … H) -T #HT12 +/3 width=3 by feqx_intro_dx, ex2_intro/ qed-.