update in static_2 and basic_2 for the article

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpme.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpme.ma
index 78cf43d236d5b5dd3036224e01e2cec659a7ced5..dcee3eb9fba8ac352e1efaddd29649ab6fcc25e5 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpme.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpme.ma
@@ -20,7 +20,20 @@ include "basic_2/rt_computation/cpms.ma".
 
 (* Basic_2A1: uses: cpre *)
 definition cpme (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 ➡*[n,h] T2 & ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃T2⦄.
 
 interpretation "evaluation for t-bound context-sensitive parallel rt-transition (term)"
    'PRedEval h n G L T1 T2 = (cpme h n G L T1 T2).
+
+(* Basic properties *********************************************************)
+
+lemma cpme_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⦄.
+/2 width=1 by conj/ qed.
+
+(* Basic forward lemmas *****************************************************)
+
+lemma cpme_fwd_cpms (h) (n) (G) (L):
+      ∀T1,T2. ⦃G,L⦄⊢T1➡*[h,n]𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2.
+#h #n #G #L #T1 #T2 * //
+qed-.