partial commit: "computation" component ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / cpxe.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxe.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxe.ma
index fd875138cdcd9edd6990c96c13a333e6ebadd0b5..e0d59bb526f4ef4fb466a742d0fa0425bc8bfacb 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxe.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxe.ma
@@ -12,24 +12,24 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/peval_5.ma".
+include "basic_2/notation/relations/peval_6.ma".
 include "basic_2/computation/cpxs.ma".
 include "basic_2/computation/csn.ma".
 
 (* CONTEXT-SENSITIVE EXTENDED PARALLEL EVALUATION ON TERMS ******************)
 
-definition cpxe: ∀h. sd h → lenv → relation term ≝
-                 λh,g,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] T2 ∧ ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T2⦄.
+definition cpxe: ∀h. sd h → relation4 genv lenv term term ≝
+                 λh,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] T2 ∧ ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T2⦄.
 
 interpretation "context-sensitive extended parallel evaluation (term)"
-   'PEval h g L T1 T2 = (cpxe h g L T1 T2).
+   'PEval h g G L T1 T2 = (cpxe h g G L T1 T2).
 
 (* Basic_properties *********************************************************)
 
-lemma csn_cpxe: ∀h,g,L,T1. ⦃G, L⦄ ⊢ ⬊*[h, g] T1 → ∃T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] 𝐍⦃T2⦄.
-#h #g #L #T1 #H @(csn_ind … H) -T1
+lemma csn_cpxe: ∀h,g,G,L,T1. ⦃G, L⦄ ⊢ ⬊*[h, g] T1 → ∃T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] 𝐍⦃T2⦄.
+#h #g #G #L #T1 #H @(csn_ind … H) -T1
 #T1 #_ #IHT1
-elim (cnx_dec h g L T1) /3 width=3/
+elim (cnx_dec h g G L T1) /3 width=3/
 * #T #H1T1 #H2T1
 elim (IHT1 … H1T1 H2T1) -IHT1 -H2T1 #T2 * /4 width=3/
 qed-.