X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffsb_feqx.ma;h=159663b11ca223d17900155cca8997737ea06695;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=b55d1907377335457450606b473d0e945d783c2f;hpb=adb9ba187619cea977d1d22971eba27eb437cd6a;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_feqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_feqx.ma index b55d19073..159663b11 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_feqx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_feqx.ma @@ -19,9 +19,10 @@ include "basic_2/rt_computation/fsb.ma". (* Properties with sort-irrelevant equivalence for closures *****************) -lemma fsb_feqx_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 +lemma fsb_feqx_trans: + ∀G1,L1,T1. ≥𝐒 ❪G1,L1,T1❫ → + ∀G2,L2,T2. ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → ≥𝐒 ❪G2,L2,T2❫. +#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 (feqx_fpb_trans … H12 … H2) -G2 -L2 -T2