]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_rpx.ma
some restyling ...
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / rpx_rpx.ma
index 56899e45ddeaac854a9fc0e7654abd4749c597ee..8b6716c10ddc9c9141a3a4ac9b47dddceccd4a70 100644 (file)
@@ -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.