X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffsb_fdeq.ma;h=84703ccb6e6efad98b58179704524b54d43a4fc1;hp=271a0e47610caccbec5a3d3fdece97e2ae52604b;hb=4173283e148199871d787c53c0301891deb90713;hpb=a67fc50ccfda64377e2c94c18c3a0d9265f651db diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fdeq.ma index 271a0e476..84703ccb6 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fdeq.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fdeq.ma @@ -17,11 +17,11 @@ include "basic_2/rt_computation/fsb.ma". (* STRONGLY NORMALIZING CLOSURES FOR PARALLEL RST-TRANSITION ****************) -(* Properties with degree-based equivalence for closures ********************) +(* Properties with sort-irrelevant equivalence for closures *****************) -lemma fsb_fdeq_trans: ∀h,o,G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ → - ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ≥[h, o] 𝐒⦃G2, L2, T2⦄. -#h #o #G1 #L1 #T1 #H @(fsb_ind_alt … H) -G1 -L1 -T1 +lemma fsb_fdeq_trans: ∀h,G1,L1,T1. ≥[h] 𝐒⦃G1, L1, T1⦄ → + ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≛ ⦃G2, L2, T2⦄ → ≥[h] 𝐒⦃G2, L2, T2⦄. +#h #G1 #L1 #T1 #H @(fsb_ind_alt … H) -G1 -L1 -T1 #G1 #L1 #T1 #_ #IH #G2 #L2 #T2 #H12 @fsb_intro #G #L #T #H2 elim (fdeq_fpb_trans … H12 … H2) -G2 -L2 -T2