update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_reqx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma
index 7b3cfdae381b3de0ce427558d0a9b3da38c7bf53..59e5eb289b9a02b248ab631d61ce0f016618e7ba 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma
@@ -20,8 +20,9 @@ include "basic_2/rt_computation/csx_csx.ma".
 (* Properties with sort-irrelevant equivalence for local environments *******)
 
 (* Basic_2A1: uses: csx_lleq_conf *)
-lemma csx_reqx_conf: ∀h,G,L1,T. ⦃G,L1⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ →
-                     ∀L2. L1 ≛[T] L2 → ⦃G,L2⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
+lemma csx_reqx_conf (h) (G) (L1):
+      ∀T. ❪G,L1❫ ⊢ ⬈*𝐒[h] T →
+      ∀L2. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒[h] T.
 #h #G #L1 #T #H
 @(csx_ind … H) -T #T1 #_ #IH #L2 #HL12
 @csx_intro #T2 #HT12 #HnT12
@@ -29,7 +30,7 @@ elim (reqx_cpx_trans … HL12 … HT12) -HT12
 /5 width=5 by cpx_reqx_conf_sn, csx_teqx_trans, teqx_trans/
 qed-.
 
-(* Basic_2A1: uses: csx_lleq_conf *)
-lemma csx_reqx_trans: ∀h,L1,L2,T. L1 ≛[T] L2 →
-                      ∀G. ⦃G,L2⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G,L1⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
+(* Basic_2A1: uses: csx_lleq_trans *)
+lemma csx_reqx_trans (h) (G) (L2):
+      ∀L1,T. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒[h] T → ❪G,L1❫ ⊢ ⬈*𝐒[h] T.
 /3 width=3 by csx_reqx_conf, reqx_sym/ qed-.