partial commit: just the components before "static" ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / fsupq_alt.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/fsupq_alt.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/fsupq_alt.ma
index 360972607c056fb590c5f9e7dfc6b66a9f75232b..e9bc6c533e310956ea03ae853de6cc3fbc13db9a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/fsupq_alt.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/fsupq_alt.ma
@@ -12,40 +12,40 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/suptermoptalt_4.ma".
+include "basic_2/notation/relations/suptermoptalt_6.ma".
 include "basic_2/relocation/fsupq.ma".
 
 (* OPTIONAL SUPCLOSURE ******************************************************)
 
 (* alternative definition of fsupq *)
-definition fsupqa: bi_relation lenv term ≝ bi_RC … fsup.
+definition fsupqa: tri_relation genv lenv term ≝ tri_RC … fsup.
 
 interpretation
    "optional structural successor (closure) alternative"
-   'SupTermOptAlt L1 T1 L2 T2 = (fsupqa L1 T1 L2 T2).
+   'SupTermOptAlt G1 L1 T1 G2 L2 T2 = (fsupqa G1 L1 T1 G2 L2 T2).
 
 (* Basic properties *********************************************************)
 
-lemma fsupqa_refl: bi_reflexive … fsupqa.
+lemma fsupqa_refl: tri_reflexive … fsupqa.
 // qed.
 
-lemma fsupqa_ldrop: ∀K1,K2,T1,T2. ⦃K1, T1⦄ ⊃⊃⸮ ⦃K2, T2⦄ →
+lemma fsupqa_ldrop: ∀G1,G2,K1,K2,T1,T2. ⦃G1, K1, T1⦄ ⊃⊃⸮ ⦃G2, K2, T2⦄ →
                     ∀L1,d,e. ⇩[d, e] L1 ≡ K1 →
-                    ∀U1. ⇧[d, e] T1 ≡ U1 → ⦃L1, U1⦄ ⊃⊃⸮ ⦃K2, T2⦄.
-#K1 #K2 #T1 #T2 * [ /3 width=7/ ] * #H1 #H2 destruct
+                    ∀U1. ⇧[d, e] T1 ≡ U1 → ⦃G1, L1, U1⦄ ⊃⊃⸮ ⦃G2, K2, T2⦄.
+#G1 #G2 #K1 #K2 #T1 #T2 * [ /3 width=7/ ] * #H1 #H2 #H3 destruct
 #L1 #d #e #HLK #U1 #HTU elim (eq_or_gt e) [2: /3 width=5/ ] #H destruct
 >(ldrop_inv_O2 … HLK) -L1 >(lift_inv_O2 … HTU) -T2 -d //
 qed.
 
 (* Main properties **********************************************************)
 
-theorem fsupq_fsupqa: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ⊃⸮ ⦃L2, T2⦄ → ⦃L1, T1⦄ ⊃⊃⸮ ⦃L2, T2⦄.
-#L1 #L2 #T1 #T2 #H elim H -L1 -L2 -T1 -T2 // /2 width=1/ /2 width=7/
+theorem fsupq_fsupqa: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃⸮ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊃⊃⸮ ⦃G2, L2, T2⦄.
+#G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2 // /2 width=1/ /2 width=7/
 qed.
 
 (* Main inversion properties ************************************************)
 
-theorem fsupqa_inv_fsupq: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ⊃⊃⸮ ⦃L2, T2⦄ → ⦃L1, T1⦄ ⊃⸮ ⦃L2, T2⦄.
-#L1 #L2 #T1 #T2 #H elim H -H /2 width=1/
-* #H1 #H2 destruct //
+theorem fsupqa_inv_fsupq: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃⊃⸮ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊃⸮ ⦃G2, L2, T2⦄.
+#G1 #G2 #L1 #L2 #T1 #T2 #H elim H -H /2 width=1/
+* #H1 #H2 #H3 destruct //
 qed-.