X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Frpx_rpx.ma;h=85261b95a5810c0357db0466e626742ea5abfb14;hp=8b6716c10ddc9c9141a3a4ac9b47dddceccd4a70;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_rpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_rpx.ma index 8b6716c10..85261b95a 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_rpx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_rpx.ma @@ -19,16 +19,16 @@ include "basic_2/rt_transition/rpx.ma". (* Main properties **********************************************************) -theorem rpx_bind: ∀h,G,L1,L2,V1. ⦃G,L1⦄ ⊢ ⬈[h,V1] L2 → - ∀I,V2,T. ⦃G,L1.ⓑ{I}V1⦄ ⊢ ⬈[h,T] L2.ⓑ{I}V2 → - ∀p. ⦃G,L1⦄ ⊢ ⬈[h,ⓑ{p,I}V1.T] L2. +theorem rpx_bind: ∀h,G,L1,L2,V1. ❪G,L1❫ ⊢ ⬈[h,V1] L2 → + ∀I,V2,T. ❪G,L1.ⓑ[I]V1❫ ⊢ ⬈[h,T] L2.ⓑ[I]V2 → + ∀p. ❪G,L1❫ ⊢ ⬈[h,ⓑ[p,I]V1.T] L2. /2 width=2 by rex_bind/ qed. -theorem rpx_flat: ∀h,G,L1,L2,V. ⦃G,L1⦄ ⊢ ⬈[h,V] L2 → - ∀I,T. ⦃G,L1⦄ ⊢ ⬈[h,T] L2 → ⦃G,L1⦄ ⊢ ⬈[h,ⓕ{I}V.T] L2. +theorem rpx_flat: ∀h,G,L1,L2,V. ❪G,L1❫ ⊢ ⬈[h,V] L2 → + ∀I,T. ❪G,L1❫ ⊢ ⬈[h,T] L2 → ❪G,L1❫ ⊢ ⬈[h,ⓕ[I]V.T] L2. /2 width=1 by rex_flat/ qed. -theorem rpx_bind_void: ∀h,G,L1,L2,V. ⦃G,L1⦄ ⊢ ⬈[h,V] L2 → - ∀T. ⦃G,L1.ⓧ⦄ ⊢ ⬈[h,T] L2.ⓧ → - ∀p,I. ⦃G,L1⦄ ⊢ ⬈[h,ⓑ{p,I}V.T] L2. +theorem rpx_bind_void: ∀h,G,L1,L2,V. ❪G,L1❫ ⊢ ⬈[h,V] L2 → + ∀T. ❪G,L1.ⓧ❫ ⊢ ⬈[h,T] L2.ⓧ → + ∀p,I. ❪G,L1❫ ⊢ ⬈[h,ⓑ[p,I]V.T] L2. /2 width=1 by rex_bind_void/ qed.