commit completed! the new iterated static type assignment is up!

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/scpds.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/scpds.ma
index 29a942fec92da013c8c7953f9428708e62b32f4c..87fe99592664707790032e6cfa72c6756c0b490b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/scpds.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/scpds.ma
@@ -14,7 +14,6 @@
 
 include "basic_2/notation/relations/dpredstar_7.ma".
 include "basic_2/static/da.ma".
-include "basic_2/unfold/lstas.ma".
 include "basic_2/computation/cprs.ma".
 
 (* STRATIFIED DECOMPOSED PARALLEL COMPUTATION ON TERMS **********************)
@@ -28,21 +27,14 @@ interpretation "stratified decomposed parallel computation (term)"
 
 (* Basic properties *********************************************************)
 
-lemma sta_cprs_scpds: ∀h,g,G,L,T1,T,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 → ⦃G, L⦄ ⊢ T1 •[h] T →
+lemma sta_cprs_scpds: ∀h,g,G,L,T1,T,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 → ⦃G, L⦄ ⊢ T1 •*[h, 1] T →
                       ⦃G, L⦄ ⊢ T ➡* T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g, 1] T2.
-/3 width=6 by sta_lstas, ex4_2_intro/ qed.
+/2 width=6 by ex4_2_intro/ qed.
 
 lemma lstas_scpds: ∀h,g,G,L,T1,T2,l1. ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 →
                    ∀l2. l2 ≤ l1 → ⦃G, L⦄ ⊢ T1 •*[h, l2] T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g, l2] T2.
 /2 width=6 by ex4_2_intro/ qed.
 
-lemma cprs_scpds: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l → ⦃G, L⦄ ⊢ T1 ➡* T2 →
-                  ⦃G, L⦄ ⊢ T1 •*➡*[h, g, 0] T2.
-/2 width=6 by lstar_O, ex4_2_intro/ qed.
-
-lemma scpds_refl: ∀h,g,G,L,T,l. ⦃G, L⦄ ⊢ T ▪[h, g] l → ⦃G, L⦄ ⊢ T •*➡*[h, g, 0] T.
-/2 width=2 by cprs_scpds/ qed.
-
 lemma scpds_strap1: ∀h,g,G,L,T1,T,T2,l.
                     ⦃G, L⦄ ⊢ T1 •*➡*[h, g, l] T → ⦃G, L⦄ ⊢ T ➡ T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g, l] T2.
 #h #g #G #L #T1 #T #T2 #l * /3 width=8 by cprs_strap1, ex4_2_intro/
@@ -52,7 +44,5 @@ qed.
 
 lemma scpds_fwd_cprs: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 •*➡*[h, g, 0] T2 →
                       ⦃G, L⦄ ⊢ T1 ➡* T2.
-#h #g #G #L #T1 #T2 *
-#T #l #_ #_ #H lapply (lstas_inv_O … H) -l -H
-#H destruct //
+#h #g #G #L #T1 #T2 * /3 width=3 by cprs_strap2, lstas_cpr/
 qed-.