X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Ffpbg_lift.ma;h=6b5b5719b6710813c68cb6b21088753a03cdca43;hb=ff7754f834f937bfe2384c7703cf63f552885395;hp=c67134ee39dc3b46c9d37e30f7112ca1b49434c3;hpb=4720368dcf18593959c6d21484f62fb5b61f3d26;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_lift.ma index c67134ee3..6b5b5719b 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_lift.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_lift.ma @@ -19,10 +19,10 @@ include "basic_2/computation/fpbg.ma". (* Advanced properties ******************************************************) -lemma lsstas_fpbg: ∀h,g,G,L,T1,T2,l2. ⦃G, L⦄ ⊢ T1 •*[h, g, l2] T2 → (T1 = T2 → ⊥) → - ∀l1. l2 ≤ l1 → ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 → ⦃G, L, T1⦄ >≡[h, g] ⦃G, L, T2⦄. -/5 width=5 by fpbc_fpbg, fpbu_fpbc, lsstas_fpbu/ qed. +lemma lstas_fpbg: ∀h,g,G,L,T1,T2,l2. ⦃G, L⦄ ⊢ T1 •*[h, l2] T2 → (T1 = T2 → ⊥) → + ∀l1. l2 ≤ l1 → ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 → ⦃G, L, T1⦄ >≡[h, g] ⦃G, L, T2⦄. +/5 width=5 by fpbc_fpbg, fpbu_fpbc, lstas_fpbu/ qed. -lemma ssta_fpbg: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 → - ⦃G, L⦄ ⊢ T1 •[h, g] T2 → ⦃G, L, T1⦄ >≡[h, g] ⦃G, L, T2⦄. -/4 width=2 by fpbc_fpbg, fpbu_fpbc, ssta_fpbu/ qed. +lemma sta_fpbg: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 → + ⦃G, L⦄ ⊢ T1 •[h] T2 → ⦃G, L, T1⦄ >≡[h, g] ⦃G, L, T2⦄. +/4 width=2 by fpbc_fpbg, fpbu_fpbc, sta_fpbu/ qed.