X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpx_fdeq.ma;h=f8224c2471b2965c6a9296ae99a3ddcfd640ec16;hb=f308429a0fde273605a2330efc63268b4ac36c99;hp=5124d8684d1fd04bb60b3be4072b6671a351c60c;hpb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fdeq.ma index 5124d8684..f8224c247 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fdeq.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fdeq.ma @@ -18,12 +18,12 @@ include "basic_2/rt_transition/rpx_rdeq.ma". (* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************) -(* Properties with degree-based equivalence for closures ********************) +(* Properties with sort-irrelevant equivalence for closures *****************) -lemma fdeq_cpx_trans: ∀h,o,G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T⦄ → - ∀T2. ⦃G2, L2⦄ ⊢ T ⬈[h] T2 → - ∃∃T0. ⦃G1, L1⦄ ⊢ T1 ⬈[h] T0 & ⦃G1, L1, T0⦄ ≛[h, o] ⦃G2, L2, T2⦄. -#h #o #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2 +lemma fdeq_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 (fdeq_inv_gen_dx … H) -H #H #HL12 #HT1 destruct elim (rdeq_cpx_trans … HL12 … HT2) #T0 #HT0 #HT02 lapply (cpx_rdeq_conf_dx … HT2 … HL12) -HL12 #HL12