X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fsubstitution%2Ffqus_alt.ma;h=2afb20c0250fd40ab2fbf41adafb7aeab0ed45c3;hb=f282b35b958c9602fb1f47e5677b5805a046ac76;hp=2681a04acc346b22be68af233b67a179a811559f;hpb=cb5ca7ea4e826e9331eabeaea44353caab00071e;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/substitution/fqus_alt.ma b/matita/matita/contribs/lambdadelta/basic_2/substitution/fqus_alt.ma
index 2681a04ac..2afb20c02 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/substitution/fqus_alt.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/substitution/fqus_alt.ma
@@ -19,8 +19,8 @@ include "basic_2/substitution/fqus.ma".
 
 (* Advanced inversion lemmas ************************************************)
 
-lemma fqus_inv_gen: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃* ⦃G2, L2, T2⦄ →
-                    ⦃G1, L1, T1⦄ ⊃+ ⦃G2, L2, T2⦄ ∨ (∧∧ G1 = G2 & L1 = L2 & T1 = T2).
+lemma fqus_inv_gen: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐* ⦃G2, L2, T2⦄ →
+                    ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ ∨ (∧∧ G1 = G2 & L1 = L2 & T1 = T2).
 #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqus_ind … H) -G2 -L2 -T2 //
 #G #G2 #L #L2 #T #T2 #_ #H2 * elim (fquq_inv_gen … H2) -H2
 [ /3 width=5 by fqup_strap1, or_introl/
@@ -32,30 +32,30 @@ qed-.
 
 (* Advanced properties ******************************************************)
 
-lemma fqus_strap1_fqu: ∀G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ⊃* ⦃G, L, T⦄ → ⦃G, L, T⦄ ⊃ ⦃G2, L2, T2⦄ →
-                       ⦃G1, L1, T1⦄ ⊃+ ⦃G2, L2, T2⦄.
+lemma fqus_strap1_fqu: ∀G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ⊐* ⦃G, L, T⦄ → ⦃G, L, T⦄ ⊐ ⦃G2, L2, T2⦄ →
+                       ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄.
 #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H2 elim (fqus_inv_gen … H1) -H1
 [ /2 width=5 by fqup_strap1/
 | * #HG #HL #HT destruct /2 width=1 by fqu_fqup/
 ]
 qed-.
 
-lemma fqus_strap2_fqu: ∀G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ⊃ ⦃G, L, T⦄ → ⦃G, L, T⦄ ⊃* ⦃G2, L2, T2⦄ →
-                       ⦃G1, L1, T1⦄ ⊃+ ⦃G2, L2, T2⦄.
+lemma fqus_strap2_fqu: ∀G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G, L, T⦄ → ⦃G, L, T⦄ ⊐* ⦃G2, L2, T2⦄ →
+                       ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄.
 #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H2 elim (fqus_inv_gen … H2) -H2
 [ /2 width=5 by fqup_strap2/
 | * #HG #HL #HT destruct /2 width=1 by fqu_fqup/
 ]
 qed-.
 
-lemma fqus_fqup_trans: ∀G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ⊃* ⦃G, L, T⦄ → ⦃G, L, T⦄ ⊃+ ⦃G2, L2, T2⦄ →
-                       ⦃G1, L1, T1⦄ ⊃+ ⦃G2, L2, T2⦄.
+lemma fqus_fqup_trans: ∀G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ⊐* ⦃G, L, T⦄ → ⦃G, L, T⦄ ⊐+ ⦃G2, L2, T2⦄ →
+                       ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄.
 #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H2 @(fqup_ind … H2) -H2 -G2 -L2 -T2
 /2 width=5 by fqus_strap1_fqu, fqup_strap1/
 qed-.
 
-lemma fqup_fqus_trans: ∀G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ⊃+ ⦃G, L, T⦄ →
-                       ⦃G, L, T⦄ ⊃* ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊃+ ⦃G2, L2, T2⦄.
+lemma fqup_fqus_trans: ∀G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ⊐+ ⦃G, L, T⦄ →
+                       ⦃G, L, T⦄ ⊐* ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄.
 #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 @(fqup_ind_dx … H1) -H1 -G1 -L1 -T1
 /3 width=5 by fqus_strap2_fqu, fqup_strap2/
 qed-.