X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbg_fqup.ma;h=71451e88698309a1a512ffe9b23f0476d49d7b0f;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=c72dcc82175911cc821c0ed1f279e3562c3b0b30;hpb=4173283e148199871d787c53c0301891deb90713;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma index c72dcc821..71451e886 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqup.ma @@ -19,14 +19,16 @@ include "basic_2/rt_computation/fpbg.ma". (* Advanced properties with sort-irrelevant equivalence for terms ***********) -lemma fpbg_tdeq_div: ∀h,G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T⦄ → - ∀T2. T2 ≛ T → ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄. -/4 width=5 by fpbg_fdeq_trans, tdeq_fdeq, tdeq_sym/ qed-. +lemma fpbg_teqx_div: + ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ > ❪G2,L2,T❫ → + ∀T2. T2 ≛ T → ❪G1,L1,T1❫ > ❪G2,L2,T2❫. +/4 width=5 by fpbg_feqx_trans, teqx_feqx, teqx_sym/ qed-. (* Properties with plus-iterated structural successor for closures **********) (* Note: this is used in the closure proof *) -lemma fqup_fpbg: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄. -#h #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqup_inv_step_sn … H) -H +lemma fqup_fpbg: + ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫. +#G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqup_inv_step_sn … H) -H /3 width=5 by fqus_fpbs, fpb_fqu, ex2_3_intro/ qed.