X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Fcrx_lift.ma;h=c4902bb35502a9f0756767abda53b92408e56453;hb=4b7a1d1c4258c10822823cb5ee1949bcdf81abcb;hp=c1989c282368c8bed56b653eb43503bc9386d679;hpb=ef49e0e7f5f298c299afdd3cbfdc2404ecb93879;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_lift.ma index c1989c282..c4902bb35 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_lift.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/crx_lift.ma @@ -19,9 +19,9 @@ include "basic_2/reduction/crx.ma". (* Properties on relocation *************************************************) -lemma crx_lift: ∀h,g,K,T. ⦃h, K⦄ ⊢ 𝐑[g]⦃T⦄ → ∀L,d,e. ⇩[d, e] L ≡ K → - ∀U. ⇧[d, e] T ≡ U → ⦃h, L⦄ ⊢ 𝐑[g]⦃U⦄. -#h #g #K #T #H elim H -K -T +lemma crx_lift: ∀h,g,G,K,T. ⦃G, K⦄ ⊢ 𝐑[h, g]⦃T⦄ → ∀L,d,e. ⇩[d, e] L ≡ K → + ∀U. ⇧[d, e] T ≡ U → ⦃G, L⦄ ⊢ 𝐑[h, g]⦃U⦄. +#h #g #G #K #T #H elim H -K -T [ #K #k #l #Hkl #L #d #e #_ #X #H >(lift_inv_sort1 … H) -X /2 width=2/ | #I #K #K0 #V #i #HK0 #L #d #e #HLK #X #H @@ -48,9 +48,9 @@ lemma crx_lift: ∀h,g,K,T. ⦃h, K⦄ ⊢ 𝐑[g]⦃T⦄ → ∀L,d,e. ⇩[d, e ] qed. -lemma crx_inv_lift: ∀h,g,L,U. ⦃h, L⦄ ⊢ 𝐑[g]⦃U⦄ → ∀K,d,e. ⇩[d, e] L ≡ K → - ∀T. ⇧[d, e] T ≡ U → ⦃h, K⦄ ⊢ 𝐑[g]⦃T⦄. -#h #g #L #U #H elim H -L -U +lemma crx_inv_lift: ∀h,g,G,L,U. ⦃G, L⦄ ⊢ 𝐑[h, g]⦃U⦄ → ∀K,d,e. ⇩[d, e] L ≡ K → + ∀T. ⇧[d, e] T ≡ U → ⦃G, K⦄ ⊢ 𝐑[h, g]⦃T⦄. +#h #g #G #L #U #H elim H -L -U [ #L #k #l #Hkl #K #d #e #_ #X #H >(lift_inv_sort2 … H) -X /2 width=2/ | #I #L #L0 #W #i #HK0 #K #d #e #HLK #X #H