X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Ffpbs.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Ffpbs.ma;h=ebebb4577274f4aac0baa2f10d32aba296b20d2e;hb=1407456d2415e2872b97ae70cae05eb47c1995c5;hp=dc8e8f1853676a60d62fd42ae4a835bacc7cb649;hpb=79340579023e8e6ee8338da90e2aa9eb3d1fc633;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs.ma index dc8e8f185..ebebb4577 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs.ma @@ -13,7 +13,7 @@ (**************************************************************************) include "basic_2/notation/relations/btpredstar_8.ma". -include "basic_2/substitution/fsupp.ma". +include "basic_2/substitution/fsups.ma". include "basic_2/reduction/fpb.ma". include "basic_2/computation/cpxs.ma". include "basic_2/computation/lpxs.ma". @@ -55,11 +55,10 @@ lemma fpbs_strap2: ∀h,g,G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ≽[h, g] ⦃G, L, T⦄ ≥[h, g] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄. /2 width=5 by tri_TC_strap/ qed-. -(* Note: this is a general property of bi_TC *) -lemma fsupp_fpbs: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃+ ⦃G2, L2, T2⦄ → +lemma fsups_fpbs: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃* ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄. -#h #g #G1 #G2 #L1 #L2 #T1 #T2 #H @(fsupp_ind … L2 T2 H) -G2 -L2 -T2 -/3 width=5 by fpb_fsup, tri_step, fpb_fpbs/ +#h #g #G1 #G2 #L1 #L2 #T1 #T2 #H @(fsups_ind … L2 T2 H) -G2 -L2 -T2 +/3 width=5 by fpb_fsupq, tri_step/ qed. lemma cpxs_fpbs: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] T2 → ⦃G, L, T1⦄ ≥[h, g] ⦃G, L, T2⦄.