X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_drops.ma;h=8c95ffcf6db0a002ee1878780d11743528c1c8a8;hb=dd93a0919b67bead0d4f07d49dfc198006edc9aa;hp=c979465c31d3ce4d730f2c36967a96cb7009e057;hpb=b634a816745cf8a9a7ad14650d088232c8ee1a1a;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma index c979465c3..8c95ffcf6 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma @@ -15,13 +15,13 @@ include "basic_2/rt_computation/cpms_drops.ma". include "basic_2/dynamic/cnv.ma". -(* CONTEXT_SENSITIVE NATIVE VALIDITY FOR TERMS ******************************) +(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************) (* Advanced dproperties *****************************************************) (* Basic_2A1: uses: snv_lref *) lemma cnv_lref_drops (a) (h) (G): ∀I,K,V,i,L. ⦃G, K⦄ ⊢ V ![a, h] → - ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G, L⦄ ⊢ #i ![a, h]. + ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G, L⦄ ⊢ #i ![a, h]. #a #h #G #I #K #V #i elim i -i [ #L #HV #H lapply (drops_fwd_isid … H ?) -H // #H destruct @@ -49,6 +49,16 @@ lemma cnv_inv_lref_drops (a) (h) (G): ] qed-. +(* Advanced forward lemmas **************************************************) + +lemma cnv_lref_fwd_drops (a) (h) (G): + ∀i,L. ⦃G, L⦄ ⊢ #i ![a, h] → + ∀I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G, K⦄ ⊢ V ![a, h]. +#a #h #o #i #L #H #I #K #V #HLK +elim (cnv_inv_lref_drops … H) -H #Z #Y #X #HLY #HX +lapply (drops_mono … HLY … HLK) -L #H destruct // +qed-. + (* Properties with generic slicing for local environments *******************) (* Basic_2A1: uses: snv_lift *)