X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flpxs_feqx.ma;h=4c2a560db5c08690adffbfa5d7bee89e5800e278;hp=e6fc7f0bb706d3fa2ce3c329ab0579daa9a812e1;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqx.ma index e6fc7f0bb..4c2a560db 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqx.ma @@ -19,9 +19,9 @@ include "basic_2/rt_computation/lpxs_reqx.ma". (* Properties with sort-irrelevant equivalence on closures ******************) -lemma feqx_lpxs_trans (h): ∀G1,G2,L1,L0,T1,T2. ⦃G1,L1,T1⦄ ≛ ⦃G2,L0,T2⦄ → - ∀L2. ⦃G2,L0⦄ ⊢⬈*[h] L2 → - ∃∃L. ⦃G1,L1⦄ ⊢⬈*[h] L & ⦃G1,L,T1⦄ ≛ ⦃G2,L2,T2⦄. +lemma feqx_lpxs_trans (h): ∀G1,G2,L1,L0,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L0,T2❫ → + ∀L2. ❪G2,L0❫ ⊢⬈*[h] L2 → + ∃∃L. ❪G1,L1❫ ⊢⬈*[h] L & ❪G1,L,T1❫ ≛ ❪G2,L2,T2❫. #h #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02 elim (feqx_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct elim (reqx_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02