]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fqup.ma
some restyling ...
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / rpx_fqup.ma
index 8a71e9b6a334d8119e038a3c1febce5222f93136..43f6f81b296e9fc4b965fd88c5ae447b29492cd1 100644 (file)
@@ -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-.