milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / rpx_lpx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_lpx.ma
index 7c8a4ae996807a73fbd171cce8ac2e8c347d5f58..cede8bf5296b71eab3f3a16bef43d9d2f27c3316 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_lpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_lpx.ma
@@ -16,20 +16,23 @@ include "static_2/static/rex_lex.ma".
 include "basic_2/rt_transition/rpx_fsle.ma".
 include "basic_2/rt_transition/lpx.ma".
 
-(* UNBOUND PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS ***********)
+(* EXTENDED PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS **********)
 
 (* Properties with syntactic equivalence for referred local environments ****)
 
-lemma fleq_rpx (h) (G): ∀L1,L2,T. L1 ≡[T] L2 → ❪G,L1❫ ⊢ ⬈[h,T] L2.
+lemma fleq_rpx (G):
+      ∀L1,L2,T. L1 ≡[T] L2 → ❪G,L1❫ ⊢ ⬈[T] L2.
 /2 width=1 by req_fwd_rex/ qed.
 
-(* Properties with unbound parallel rt-transition for full local envs *******)
+(* Properties with extended rt-transition for full local envs ***************)
 
-lemma lpx_rpx: ∀h,G,L1,L2,T. ❪G,L1❫ ⊢ ⬈[h] L2 → ❪G,L1❫ ⊢ ⬈[h,T] L2.
+lemma lpx_rpx (G):
+      ∀L1,L2,T. ❪G,L1❫ ⊢ ⬈ L2 → ❪G,L1❫ ⊢ ⬈[T] L2.
 /2 width=1 by rex_lex/ qed.
 
-(* Inversion lemmas with unbound parallel rt-transition for full local envs *)
+(* Inversion lemmas with extended rt-transition for full local envs *********)
 
-lemma rpx_inv_lpx_req: ∀h,G,L1,L2,T. ❪G,L1❫ ⊢ ⬈[h,T] L2 →
-                       ∃∃L. ❪G,L1❫ ⊢ ⬈[h] L & L ≡[T] L2.
+lemma rpx_inv_lpx_req (G):
+      ∀L1,L2,T. ❪G,L1❫ ⊢ ⬈[T] L2 →
+      ∃∃L. ❪G,L1❫ ⊢ ⬈ L & L ≡[T] L2.
 /3 width=3 by rpx_fsge_comp, rex_inv_lex_req/ qed-.