update in basic_2 and apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmre.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmre.ma
index 229477f8285014d5dccfb94f7f085e3d44902b4f..87f0b5d5224665d38eec1ea113511cf7db946024 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmre.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmre.ma
@@ -18,9 +18,9 @@ include "basic_2/rt_computation/cpms.ma".
 
 (* EVALUATION FOR T-BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ON TERMS *)
 
-(* Basic_2A1: uses: cprre *)
+(* Basic_2A1: uses: cpre *)
 definition cpmre (h) (n) (G) (L): relation2 term term ≝
-           λT1,T2. ∧∧ ❪G,L❫ ⊢ T1 ➡*[n,h] T2 & ❪G,L❫ ⊢ ➡[h] 𝐍❪T2❫.
+           λT1,T2. ∧∧ ❪G,L❫ ⊢ T1 ➡*[h,n] T2 & ❪G,L❫ ⊢ ➡𝐍[h,0] T2.
 
 interpretation "evaluation for t-bound context-sensitive parallel rt-transition (term)"
    'PRedEval h n G L T1 T2 = (cpmre h n G L T1 T2).
@@ -28,12 +28,12 @@ interpretation "evaluation for t-bound context-sensitive parallel rt-transition
 (* Basic properties *********************************************************)
 
 lemma cpmre_intro (h) (n) (G) (L):
-      ∀T1,T2. ❪G,L❫ ⊢ T1 ➡*[n,h] T2 → ❪G,L❫ ⊢ ➡[h] 𝐍❪T2❫ → ❪G,L❫⊢T1➡*[h,n]𝐍❪T2❫.
+      ∀T1,T2. ❪G,L❫ ⊢ T1 ➡*[h,n] T2 → ❪G,L❫ ⊢ ➡𝐍[h,0] T2 → ❪G,L❫ ⊢ T1 ➡*𝐍[h,n] T2.
 /2 width=1 by conj/ qed.
 
 (* Basic forward lemmas *****************************************************)
 
 lemma cpmre_fwd_cpms (h) (n) (G) (L):
-      ∀T1,T2. ❪G,L❫⊢T1➡*[h,n]𝐍❪T2❫ → ❪G,L❫ ⊢ T1 ➡*[n,h] T2.
+      ∀T1,T2. ❪G,L❫ ⊢ T1 ➡*𝐍[h,n] T2 → ❪G,L❫ ⊢ T1 ➡*[h,n] T2.
 #h #n #G #L #T1 #T2 * //
 qed-.