X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Frpx_length.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Frpx_length.ma;h=565a2498de2e8d0c675863ce918186dd9fca19fb;hb=8ec019202bff90959cf1a7158b309e7f83fa222e;hp=58034f1571ebcdde9225940c22cc5bf477252e77;hpb=33d0a7a9029859be79b25b5a495e0f30dab11f37;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_length.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_length.ma index 58034f157..565a2498d 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_length.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_length.ma @@ -20,14 +20,14 @@ include "basic_2/rt_transition/rpx.ma". (* Forward lemmas with length for local environments ************************) lemma rpx_fwd_length (G): - ∀L1,L2,T. ❪G,L1❫ ⊢ ⬈[T] L2 → |L1| = |L2|. + ∀L1,L2,T. ❨G,L1❩ ⊢ ⬈[T] L2 → |L1| = |L2|. /2 width=3 by rex_fwd_length/ qed-. (* Inversion lemmas with length for local environments **********************) lemma rpx_inv_zero_length (G): - ∀Y1,Y2. ❪G,Y1❫ ⊢ ⬈[#0] Y2 → + ∀Y1,Y2. ❨G,Y1❩ ⊢ ⬈[#0] Y2 → ∨∨ ∧∧ Y1 = ⋆ & Y2 = ⋆ - | ∃∃I,L1,L2,V1,V2. ❪G,L1❫ ⊢ ⬈[V1] L2 & ❪G,L1❫ ⊢ V1 ⬈ V2 & Y1 = L1.ⓑ[I]V1 & Y2 = L2.ⓑ[I]V2 + | ∃∃I,L1,L2,V1,V2. ❨G,L1❩ ⊢ ⬈[V1] L2 & ❨G,L1❩ ⊢ V1 ⬈ V2 & Y1 = L1.ⓑ[I]V1 & Y2 = L2.ⓑ[I]V2 | ∃∃I,L1,L2. |L1| = |L2| & Y1 = L1.ⓤ[I] & Y2 = L2.ⓤ[I]. /2 width=1 by rex_inv_zero_length/ qed-.