update in basic_2 and apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / cnv_cpmre.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma
index aa9840d0c28f625716f0d209a59794a9d74a3daa..48e99e557670a101e0404ef1579c2e59e744f505 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma
@@ -22,14 +22,14 @@ include "basic_2/dynamic/cnv_preserve.ma".
 
 lemma cnv_cpmre_trans (h) (a) (n) (G) (L):
       ∀T1. ❪G,L❫ ⊢ T1 ![h,a] →
-      ∀T2. ❪G,L❫ ⊢ T1 ➡*[h,n] 𝐍❪T2❫ → ❪G,L❫ ⊢ T2 ![h,a].
+      ∀T2. ❪G,L❫ ⊢ T1 ➡*𝐍[h,n] T2 → ❪G,L❫ ⊢ T2 ![h,a].
 #h #a #n #G #L #T1 #HT1 #T2 * #HT12 #_
 /2 width=4 by cnv_cpms_trans/
 qed-.
 
 lemma cnv_cpmre_cpms_conf (h) (a) (n) (G) (L):
-      ∀T. ❪G,L❫ ⊢ T ![h,a] → ∀T1. ❪G,L❫ ⊢ T ➡*[n,h] T1 →
-      ∀T2. ❪G,L❫ ⊢ T ➡*[h,n] 𝐍❪T2❫ → ❪G,L❫ ⊢ T1 ➡*[h] 𝐍❪T2❫.
+      ∀T. ❪G,L❫ ⊢ T ![h,a] → ∀T1. ❪G,L❫ ⊢ T ➡*[h,n] T1 →
+      ∀T2. ❪G,L❫ ⊢ T ➡*𝐍[h,n] T2 → ❪G,L❫ ⊢ T1 ➡*𝐍[h,0] T2.
 #h #a #n #G #L #T0 #HT0 #T1 #HT01 #T2 * #HT02 #HT2
 elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 <minus_n_n #T0 #HT10 #HT20
 lapply (cprs_inv_cnr_sn … HT20 HT2) -HT20 #H destruct
@@ -39,8 +39,8 @@ qed-.
 (* Main properties with evaluation for t-bound rt-transition on terms *****)
 
 theorem cnv_cpmre_mono (h) (a) (n) (G) (L):
-        ∀T. ❪G,L❫ ⊢ T ![h,a] → ∀T1. ❪G,L❫ ⊢ T ➡*[h,n] 𝐍❪T1❫ →
-        ∀T2. ❪G,L❫ ⊢ T ➡*[h,n] 𝐍❪T2❫ → T1 = T2.
+        ∀T. ❪G,L❫ ⊢ T ![h,a] → ∀T1. ❪G,L❫ ⊢ T ➡*𝐍[h,n] T1 →
+        ∀T2. ❪G,L❫ ⊢ T ➡*𝐍[h,n] T2 → T1 = T2.
 #h #a #n #G #L #T0 #HT0 #T1 * #HT01 #HT1 #T2 * #HT02 #HT2
 elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 <minus_n_n #T0 #HT10 #HT20
 /3 width=7 by cprs_inv_cnr_sn, canc_dx_eq/