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_fqup.ma;h=43f6f81b296e9fc4b965fd88c5ae447b29492cd1;hp=8a71e9b6a334d8119e038a3c1febce5222f93136;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fqup.ma index 8a71e9b6a..43f6f81b2 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fqup.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fqup.ma @@ -22,18 +22,18 @@ include "basic_2/rt_transition/rpx.ma". lemma rpx_refl: ∀h,G,T. reflexive … (rpx h G T). /2 width=1 by rex_refl/ qed. -lemma rpx_pair_refl: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 → - ∀I,T. ⦃G, L.ⓑ{I}V1⦄ ⊢ ⬈[h, T] L.ⓑ{I}V2. +lemma rpx_pair_refl: ∀h,G,L,V1,V2. ⦃G,L⦄ ⊢ V1 ⬈[h] V2 → + ∀I,T. ⦃G,L.ⓑ{I}V1⦄ ⊢ ⬈[h,T] L.ⓑ{I}V2. /2 width=1 by rex_pair_refl/ qed. (* Advanced inversion lemmas ************************************************) -lemma rpx_inv_bind_void: ∀h,p,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈[h, ⓑ{p,I}V.T] L2 → - ∧∧ ⦃G, L1⦄ ⊢ ⬈[h, V] L2 & ⦃G, L1.ⓧ⦄ ⊢ ⬈[h, T] L2.ⓧ. +lemma rpx_inv_bind_void: ∀h,p,I,G,L1,L2,V,T. ⦃G,L1⦄ ⊢ ⬈[h,ⓑ{p,I}V.T] L2 → + ∧∧ ⦃G,L1⦄ ⊢ ⬈[h,V] L2 & ⦃G,L1.ⓧ⦄ ⊢ ⬈[h,T] L2.ⓧ. /2 width=3 by rex_inv_bind_void/ qed-. (* Advanced forward lemmas **************************************************) lemma rpx_fwd_bind_dx_void: ∀h,p,I,G,L1,L2,V,T. - ⦃G, L1⦄ ⊢ ⬈[h, ⓑ{p,I}V.T] L2 → ⦃G, L1.ⓧ⦄ ⊢ ⬈[h, T] L2.ⓧ. + ⦃G,L1⦄ ⊢ ⬈[h,ⓑ{p,I}V.T] L2 → ⦃G,L1.ⓧ⦄ ⊢ ⬈[h,T] L2.ⓧ. /2 width=4 by rex_fwd_bind_dx_void/ qed-.