update in basic_2 and apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprre_cprre.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprre_cprre.ma
index 4ffb118a74732456c0f4f3b0f93bb734b3b903ab..8b854071d977aa02147084410ea779ed9b232028 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprre_cprre.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprre_cprre.ma
@@ -21,7 +21,8 @@ include "basic_2/rt_computation/cprre.ma".
 (* Properties with context-sensitive parallel r-computation for terms ******)
 
 lemma cprre_cprs_conf (h) (G) (L) (T):
-      ∀T1. ❪G,L❫ ⊢ T ➡*[h] T1 → ∀T2. ❪G,L❫ ⊢ T ➡*[h] 𝐍❪T2❫ → ❪G,L❫ ⊢ T1 ➡*[h] 𝐍❪T2❫.
+      ∀T1. ❪G,L❫ ⊢ T ➡*[h,0] T1 → 
+      ∀T2. ❪G,L❫ ⊢ T ➡*𝐍[h,0] T2 → ❪G,L❫ ⊢ T1 ➡*𝐍[h,0] T2.
 #h #G #L #T0 #T1 #HT01 #T2 * #HT02 #HT2
 elim (cprs_conf … HT01 … HT02) -T0 #T0 #HT10 #HT20
 lapply (cprs_inv_cnr_sn … HT20 HT2) -HT20 #H destruct
@@ -33,7 +34,7 @@ qed-.
 (* Basic_1: was: nf2_pr3_confluence *)
 (* Basic_2A1: was: cpre_mono *)
 theorem cprre_mono (h) (G) (L) (T):
-        ∀T1. ❪G,L❫ ⊢ T ➡*[h] 𝐍❪T1❫ → ∀T2. ❪G,L❫ ⊢ T ➡*[h] 𝐍❪T2❫ → T1 = T2.
+        ∀T1. ❪G,L❫ ⊢ T ➡*𝐍[h,0] T1 → ∀T2. ❪G,L❫ ⊢ T ➡*𝐍[h,0] T2 → T1 = T2.
 #h #G #L #T0 #T1 * #HT01 #HT1 #T2 * #HT02 #HT2
 elim (cprs_conf … HT01 … HT02) -T0 #T0 #HT10 #HT20
 >(cprs_inv_cnr_sn … HT10 HT1) -T1