X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fs_computation%2Ffqup.ma;h=28cfb9ce0c5c928cfea1bb6f6b06a67af7c038c8;hp=df964c8e92c59efe386f6224ef56a6a580fd964a;hb=a454837a256907d2f83d42ced7be847e10361ea9;hpb=b4283c079ed7069016b8d924bbc7e08872440829

diff --git a/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup.ma b/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup.ma
index df964c8e9..28cfb9ce0 100644
--- a/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/s_computation/fqup.ma
@@ -30,55 +30,55 @@ interpretation "plus-iterated structural successor (closure)"
 
 (* Basic properties *********************************************************)
 
-lemma fqu_fqup: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⊐[b] ⦃G2,L2,T2⦄ →
-                ⦃G1,L1,T1⦄ ⊐+[b] ⦃G2,L2,T2⦄.
+lemma fqu_fqup: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂[b] ⦃G2,L2,T2⦄ →
+                ⦃G1,L1,T1⦄ ⬂+[b] ⦃G2,L2,T2⦄.
 /2 width=1 by tri_inj/ qed.
 
 lemma fqup_strap1: ∀b,G1,G,G2,L1,L,L2,T1,T,T2.
-                   ⦃G1,L1,T1⦄ ⊐+[b] ⦃G,L,T⦄ → ⦃G,L,T⦄ ⊐[b] ⦃G2,L2,T2⦄ →
-                   ⦃G1,L1,T1⦄ ⊐+[b] ⦃G2,L2,T2⦄.
+                   ⦃G1,L1,T1⦄ ⬂+[b] ⦃G,L,T⦄ → ⦃G,L,T⦄ ⬂[b] ⦃G2,L2,T2⦄ →
+                   ⦃G1,L1,T1⦄ ⬂+[b] ⦃G2,L2,T2⦄.
 /2 width=5 by tri_step/ qed.
 
 lemma fqup_strap2: ∀b,G1,G,G2,L1,L,L2,T1,T,T2.
-                   ⦃G1,L1,T1⦄ ⊐[b] ⦃G,L,T⦄ → ⦃G,L,T⦄ ⊐+[b] ⦃G2,L2,T2⦄ →
-                   ⦃G1,L1,T1⦄ ⊐+[b] ⦃G2,L2,T2⦄.
+                   ⦃G1,L1,T1⦄ ⬂[b] ⦃G,L,T⦄ → ⦃G,L,T⦄ ⬂+[b] ⦃G2,L2,T2⦄ →
+                   ⦃G1,L1,T1⦄ ⬂+[b] ⦃G2,L2,T2⦄.
 /2 width=5 by tri_TC_strap/ qed.
 
-lemma fqup_pair_sn: ∀b,I,G,L,V,T. ⦃G,L,②{I}V.T⦄ ⊐+[b] ⦃G,L,V⦄.
+lemma fqup_pair_sn: ∀b,I,G,L,V,T. ⦃G,L,②{I}V.T⦄ ⬂+[b] ⦃G,L,V⦄.
 /2 width=1 by fqu_pair_sn, fqu_fqup/ qed.
 
-lemma fqup_bind_dx: ∀b,p,I,G,L,V,T. ⦃G,L,ⓑ{p,I}V.T⦄ ⊐+[b] ⦃G,L.ⓑ{I}V,T⦄.
-/2 width=1 by fqu_bind_dx, fqu_fqup/ qed.
+lemma fqup_bind_dx: ∀p,I,G,L,V,T. ⦃G,L,ⓑ{p,I}V.T⦄ ⬂+[Ⓣ] ⦃G,L.ⓑ{I}V,T⦄.
+/3 width=1 by fqu_bind_dx, fqu_fqup/ qed.
 
-lemma fqup_clear: ∀p,I,G,L,V,T. ⦃G,L,ⓑ{p,I}V.T⦄ ⊐+[Ⓕ] ⦃G,L.ⓧ,T⦄.
+lemma fqup_clear: ∀p,I,G,L,V,T. ⦃G,L,ⓑ{p,I}V.T⦄ ⬂+[Ⓕ] ⦃G,L.ⓧ,T⦄.
 /3 width=1 by fqu_clear, fqu_fqup/ qed.
 
-lemma fqup_flat_dx: ∀b,I,G,L,V,T. ⦃G,L,ⓕ{I}V.T⦄ ⊐+[b] ⦃G,L,T⦄.
+lemma fqup_flat_dx: ∀b,I,G,L,V,T. ⦃G,L,ⓕ{I}V.T⦄ ⬂+[b] ⦃G,L,T⦄.
 /2 width=1 by fqu_flat_dx, fqu_fqup/ qed.
 
-lemma fqup_flat_dx_pair_sn: ∀b,I1,I2,G,L,V1,V2,T. ⦃G,L,ⓕ{I1}V1.②{I2}V2.T⦄ ⊐+[b] ⦃G,L,V2⦄.
+lemma fqup_flat_dx_pair_sn: ∀b,I1,I2,G,L,V1,V2,T. ⦃G,L,ⓕ{I1}V1.②{I2}V2.T⦄ ⬂+[b] ⦃G,L,V2⦄.
 /2 width=5 by fqu_pair_sn, fqup_strap1/ qed.
 
-lemma fqup_bind_dx_flat_dx: ∀b,p,G,I1,I2,L,V1,V2,T. ⦃G,L,ⓑ{p,I1}V1.ⓕ{I2}V2.T⦄ ⊐+[b] ⦃G,L.ⓑ{I1}V1,T⦄.
+lemma fqup_bind_dx_flat_dx: ∀p,G,I1,I2,L,V1,V2,T. ⦃G,L,ⓑ{p,I1}V1.ⓕ{I2}V2.T⦄ ⬂+[Ⓣ] ⦃G,L.ⓑ{I1}V1,T⦄.
 /2 width=5 by fqu_flat_dx, fqup_strap1/ qed.
 
-lemma fqup_flat_dx_bind_dx: ∀b,p,I1,I2,G,L,V1,V2,T. ⦃G,L,ⓕ{I1}V1.ⓑ{p,I2}V2.T⦄ ⊐+[b] ⦃G,L.ⓑ{I2}V2,T⦄.
-/2 width=5 by fqu_bind_dx, fqup_strap1/ qed.
+lemma fqup_flat_dx_bind_dx: ∀p,I1,I2,G,L,V1,V2,T. ⦃G,L,ⓕ{I1}V1.ⓑ{p,I2}V2.T⦄ ⬂+[Ⓣ] ⦃G,L.ⓑ{I2}V2,T⦄.
+/3 width=5 by fqu_bind_dx, fqup_strap1/ qed.
 
 (* Basic eliminators ********************************************************)
 
 lemma fqup_ind: ∀b,G1,L1,T1. ∀Q:relation3 ….
-                (∀G2,L2,T2. ⦃G1,L1,T1⦄ ⊐[b] ⦃G2,L2,T2⦄ → Q G2 L2 T2) →
-                (∀G,G2,L,L2,T,T2. ⦃G1,L1,T1⦄ ⊐+[b] ⦃G,L,T⦄ → ⦃G,L,T⦄ ⊐[b] ⦃G2,L2,T2⦄ → Q G L T → Q G2 L2 T2) →
-                ∀G2,L2,T2. ⦃G1,L1,T1⦄ ⊐+[b] ⦃G2,L2,T2⦄ → Q G2 L2 T2.
+                (∀G2,L2,T2. ⦃G1,L1,T1⦄ ⬂[b] ⦃G2,L2,T2⦄ → Q G2 L2 T2) →
+                (∀G,G2,L,L2,T,T2. ⦃G1,L1,T1⦄ ⬂+[b] ⦃G,L,T⦄ → ⦃G,L,T⦄ ⬂[b] ⦃G2,L2,T2⦄ → Q G L T → Q G2 L2 T2) →
+                ∀G2,L2,T2. ⦃G1,L1,T1⦄ ⬂+[b] ⦃G2,L2,T2⦄ → Q G2 L2 T2.
 #b #G1 #L1 #T1 #Q #IH1 #IH2 #G2 #L2 #T2 #H
 @(tri_TC_ind … IH1 IH2 G2 L2 T2 H)
 qed-.
 
 lemma fqup_ind_dx: ∀b,G2,L2,T2. ∀Q:relation3 ….
-                   (∀G1,L1,T1. ⦃G1,L1,T1⦄ ⊐[b] ⦃G2,L2,T2⦄ → Q G1 L1 T1) →
-                   (∀G1,G,L1,L,T1,T. ⦃G1,L1,T1⦄ ⊐[b] ⦃G,L,T⦄ → ⦃G,L,T⦄ ⊐+[b] ⦃G2,L2,T2⦄ → Q G L T → Q G1 L1 T1) →
-                   ∀G1,L1,T1. ⦃G1,L1,T1⦄ ⊐+[b] ⦃G2,L2,T2⦄ → Q G1 L1 T1.
+                   (∀G1,L1,T1. ⦃G1,L1,T1⦄ ⬂[b] ⦃G2,L2,T2⦄ → Q G1 L1 T1) →
+                   (∀G1,G,L1,L,T1,T. ⦃G1,L1,T1⦄ ⬂[b] ⦃G,L,T⦄ → ⦃G,L,T⦄ ⬂+[b] ⦃G2,L2,T2⦄ → Q G L T → Q G1 L1 T1) →
+                   ∀G1,L1,T1. ⦃G1,L1,T1⦄ ⬂+[b] ⦃G2,L2,T2⦄ → Q G1 L1 T1.
 #b #G2 #L2 #T2 #Q #IH1 #IH2 #G1 #L1 #T1 #H
 @(tri_TC_ind_dx … IH1 IH2 G1 L1 T1 H)
 qed-.
@@ -86,7 +86,7 @@ qed-.
 (* Advanced properties ******************************************************)
 
 lemma fqup_zeta (b) (p) (I) (G) (K) (V):
-                ∀T1,T2. ⬆*[1]T2 ≘ T1 → ⦃G,K,ⓑ{p,I}V.T1⦄ ⊐+[b] ⦃G,K,T2⦄.
-/4 width=5 by fqup_strap2, fqu_fqup, fqu_drop/ qed.
+                ∀T1,T2. ⬆*[1]T2 ≘ T1 → ⦃G,K,ⓑ{p,I}V.T1⦄ ⬂+[b] ⦃G,K,T2⦄.
+* /4 width=5 by fqup_strap2, fqu_fqup, fqu_drop, fqu_clear, fqu_bind_dx/ qed.
 
 (* Basic_2A1: removed theorems 1: fqup_drop *)