X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Ffpbs_lift.ma;h=a1edecf0c082a68e1c59ecd9eaf062ad14440aa4;hb=c60524dec7ace912c416a90d6b926bee8553250b;hp=57c53b371e85ac7d2c8564ed7ff74e0cf3e0a63e;hpb=f10cfe417b6b8ec1c7ac85c6ecf5fb1b3fdf37db;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_lift.ma index 57c53b371..a1edecf0c 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_lift.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_lift.ma @@ -19,18 +19,18 @@ include "basic_2/computation/fpbs.ma". (* Advanced properties ******************************************************) -lemma lstas_fpbs: ∀h,g,G,L,T1,T2,l2. ⦃G, L⦄ ⊢ T1 •*[h, l2] T2 → - ∀l1. l2 ≤ l1 → ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 → ⦃G, L, T1⦄ ≥[h, g] ⦃G, L, T2⦄. +lemma lstas_fpbs: ∀h,g,G,L,T1,T2,d2. ⦃G, L⦄ ⊢ T1 •*[h, d2] T2 → + ∀d1. d2 ≤ d1 → ⦃G, L⦄ ⊢ T1 ▪[h, g] d1 → ⦃G, L, T1⦄ ≥[h, g] ⦃G, L, T2⦄. /3 width=5 by cpxs_fpbs, lstas_cpxs/ qed. -lemma sta_fpbs: ∀h,g,G,L,T,U,l. - ⦃G, L⦄ ⊢ T ▪[h, g] l+1 → ⦃G, L⦄ ⊢ T •*[h, 1] U → +lemma sta_fpbs: ∀h,g,G,L,T,U,d. + ⦃G, L⦄ ⊢ T ▪[h, g] d+1 → ⦃G, L⦄ ⊢ T •*[h, 1] U → ⦃G, L, T⦄ ≥[h, g] ⦃G, L, U⦄. /2 width=5 by lstas_fpbs/ qed. (* Note: this is used in the closure proof *) -lemma cpr_lpr_sta_fpbs: ∀h,g,G,L1,L2,T1,T2,U2,l2. +lemma cpr_lpr_sta_fpbs: ∀h,g,G,L1,L2,T1,T2,U2,d2. ⦃G, L1⦄ ⊢ T1 ➡ T2 → ⦃G, L1⦄ ⊢ ➡ L2 → - ⦃G, L2⦄ ⊢ T2 ▪[h, g] l2+1 → ⦃G, L2⦄ ⊢ T2 •*[h, 1] U2 → + ⦃G, L2⦄ ⊢ T2 ▪[h, g] d2+1 → ⦃G, L2⦄ ⊢ T2 •*[h, 1] U2 → ⦃G, L1, T1⦄ ≥[h, g] ⦃G, L2, U2⦄. /4 width=5 by fpbs_strap1, cpr_lpr_fpbs, sta_cpx, fpbq_cpx/ qed.