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_fdeq.ma;h=e21438d6328ed459a4c4a2060b898722346c4470;hp=30bbb3e75be8e17dccec8b64c444bedabb646b61;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_fdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_fdeq.ma index 30bbb3e75..e21438d63 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_fdeq.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_fdeq.ma @@ -19,9 +19,9 @@ include "basic_2/rt_computation/lpxs_rdeq.ma". (* Properties with sort-irrelevant equivalence on closures ******************) -lemma fdeq_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 fdeq_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 (fdeq_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct elim (rdeq_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02