partial commit: "computation" component ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpds.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpds.ma
index b725a809aa24c4e82a1f17d2ccf1e0300cfcf7fd..c1dbc27ba1775f37521330274f7cfe554116a01e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/cpds.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cpds.ma
@@ -12,39 +12,40 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/dpredstar_5.ma".
+include "basic_2/notation/relations/dpredstar_6.ma".
 include "basic_2/unfold/sstas.ma".
 include "basic_2/computation/cprs.ma".
 
 (* DECOMPOSED EXTENDED PARALLEL COMPUTATION ON TERMS ************************)
 
-definition cpds: ∀h. sd h → lenv → relation term ≝ λh,g,L,T1,T2.
+definition cpds: ∀h. sd h → relation4 genv lenv term term ≝
+                 λh,g,G,L,T1,T2.
                  ∃∃T. ⦃G, L⦄ ⊢ T1 •*[h, g] T & ⦃G, L⦄ ⊢ T ➡* T2.
 
 interpretation "decomposed extended parallel computation (term)"
-   'DPRedStar h g L T1 T2 = (cpds h g L T1 T2).
+   'DPRedStar h g G L T1 T2 = (cpds h g G L T1 T2).
 
 (* Basic properties *********************************************************)
 
-lemma cpds_refl: ∀h,g,L. reflexive … (cpds h g L).
+lemma cpds_refl: ∀h,g,G,L. reflexive … (cpds h g G L).
 /2 width=3/ qed.
 
-lemma sstas_cpds: ∀h,g,L,T1,T2. ⦃G, L⦄ ⊢ T1 •*[h, g] T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
+lemma sstas_cpds: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 •*[h, g] T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
 /2 width=3/ qed.
 
-lemma cprs_cpds: ∀h,g,L,T1,T2.  ⦃G, L⦄ ⊢ T1 ➡* T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
+lemma cprs_cpds: ∀h,g,G,L,T1,T2.  ⦃G, L⦄ ⊢ T1 ➡* T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
 /2 width=3/ qed.
 
-lemma cpds_strap1: ∀h,g,L,T1,T,T2.
+lemma cpds_strap1: ∀h,g,G,L,T1,T,T2.
                    ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T → ⦃G, L⦄ ⊢ T ➡ T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
-#h #g #L #T1 #T #T2 * /3 width=5/
+#h #g #G #L #T1 #T #T2 * /3 width=5/
 qed.
 
-lemma cpds_strap2: ∀h,g,L,T1,T,T2,l.
+lemma cpds_strap2: ∀h,g,G,L,T1,T,T2,l.
                    ⦃G, L⦄ ⊢ T1 •[h, g] ⦃l+1, T⦄ → ⦃G, L⦄ ⊢ T •*➡*[h, g] T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
-#h #g #L #T1 #T #T2 #l #HT1 * /3 width=4/
+#h #g #G #L #T1 #T #T2 #l #HT1 * /3 width=4/
 qed.
 
-lemma ssta_cprs_cpds: ∀h,g,L,T1,T,T2,l. ⦃G, L⦄ ⊢ T1 •[h, g] ⦃l+1, T⦄ →
+lemma ssta_cprs_cpds: ∀h,g,G,L,T1,T,T2,l. ⦃G, L⦄ ⊢ T1 •[h, g] ⦃l+1, T⦄ →
                       ⦃G, L⦄ ⊢ T ➡* T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
 /3 width=3/ qed.