X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fsnv_lift.ma;h=6430cbcd522d339ac5a00da0a9881c8d3f645540;hp=702ca5ab992e29ee0cedf060872dc80aa6abfbdd;hb=e62715437a9c39244c9809c00585a5ef44a39797;hpb=58ddc56896384e0a1e8a7d331aae9eded8510c70 diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma index 702ca5ab9..6430cbcd5 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lift.ma @@ -20,6 +20,13 @@ include "basic_2/dynamic/snv.ma". (* Relocation properties ****************************************************) +| nv_lref: ∀I,G,L,K,V,i. ⬇[i] L ≘ K.ⓑ{I}V → nv a h G K V → nv a h G L (#i) + +lemma nv_inv_lref: ∀a,h,G,L,i. ⦃G, L⦄ ⊢ #i ![a, h] → + ∃∃I,K,V. ⬇[i] L ≘ K.ⓑ{I}V & ⦃G, K⦄ ⊢ V ![a, h]. +/2 width=3 by nv_inv_lref_aux/ qed-. + + lemma snv_lift: ∀h,o,G,K,T. ⦃G, K⦄ ⊢ T ¡[h, o] → ∀L,b,l,k. ⬇[b, l, k] L ≘ K → ∀U. ⬆[l, k] T ≘ U → ⦃G, L⦄ ⊢ U ¡[h, o]. #h #o #G #K #T #H elim H -G -K -T