X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fs_computation%2Ffqup_drops.ma;h=2a81feacffc91d16f27083e8661d094f3e8dad31;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=37bd15ada9016789cd7ce90baff4b2e18bd8030a;hpb=f308429a0fde273605a2330efc63268b4ac36c99;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup_drops.ma b/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup_drops.ma index 37bd15ada..2a81feacf 100644 --- a/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup_drops.ma +++ b/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup_drops.ma @@ -19,21 +19,21 @@ include "static_2/s_computation/fqup.ma". (* Properties with generic slicing for local environments *******************) -lemma fqup_drops_succ: ∀b,G,K,T,i,L,U. ⬇*[↑i] L ≘ K → ⬆*[↑i] T ≘ U → - ⦃G,L,U⦄ ⊐+[b] ⦃G,K,T⦄. +lemma fqup_drops_succ: ∀b,G,K,T,i,L,U. ⇩*[↑i] L ≘ K → ⇧*[↑i] T ≘ U → + ❪G,L,U❫ ⬂+[b] ❪G,K,T❫. #b #G #K #T #i elim i -i [ #L #U #HLK #HTU elim (drops_inv_succ … HLK) -HLK #I #Y #HY #H destruct <(drops_fwd_isid … HY) -K // /3 width=2 by fqu_fqup, fqu_drop/ | #l #IH #L #U #HLK #HTU elim (drops_inv_succ … HLK) -HLK #I #Y #HY #H destruct - elim (lifts_split_trans … HTU … (𝐔❴↑l❵) (𝐔❴1❵)) -HTU + elim (lifts_split_trans … HTU … (𝐔❨↑l❩) (𝐔❨1❩)) -HTU /4 width=5 by fqup_strap2, fqu_drop/ ] qed. -lemma fqup_drops_strap1: ∀b,G1,G2,L1,K1,K2,T1,T2,U1,i. ⬇*[i] L1 ≘ K1 → ⬆*[i] T1 ≘ U1 → - ⦃G1,K1,T1⦄ ⊐[b] ⦃G2,K2,T2⦄ → ⦃G1,L1,U1⦄ ⊐+[b] ⦃G2,K2,T2⦄. +lemma fqup_drops_strap1: ∀b,G1,G2,L1,K1,K2,T1,T2,U1,i. ⇩*[i] L1 ≘ K1 → ⇧*[i] T1 ≘ U1 → + ❪G1,K1,T1❫ ⬂[b] ❪G2,K2,T2❫ → ❪G1,L1,U1❫ ⬂+[b] ❪G2,K2,T2❫. #b #G1 #G2 #L1 #K1 #K2 #T1 #T2 #U1 * [ #HLK1 #HTU1 #HT12 >(drops_fwd_isid … HLK1) -L1 // @@ -42,5 +42,5 @@ lemma fqup_drops_strap1: ∀b,G1,G2,L1,K1,K2,T1,T2,U1,i. ⬇*[i] L1 ≘ K1 → ] qed-. -lemma fqup_lref: ∀b,I,G,L,K,V,i. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G,L,#i⦄ ⊐+[b] ⦃G,K,V⦄. +lemma fqup_lref: ∀b,I,G,L,K,V,i. ⇩*[i] L ≘ K.ⓑ[I]V → ❪G,L,#i❫ ⬂+[b] ❪G,K,V❫. /2 width=6 by fqup_drops_strap1/ qed.