commit completed:

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_lleq.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_lleq.ma
index 7a566659321049be124f35c36e2e3775cfeeabf5..ce575a47b6d7c1b7504f348191b8a0c61ed58c47 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_lleq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_lleq.ma
@@ -22,14 +22,18 @@ include "basic_2/computation/cpxs.ma".
 lemma lleq_cpxs_trans: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[h, g] T2 →
                        ∀L1. L1 ⋕[T1, 0] L2 → ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2.
 #h #g #G #L2 #T1 #T2 #H @(cpxs_ind_dx … H) -T1
-/4 width=6 by lleq_cpx_conf_dx, lleq_cpx_trans, cpxs_strap2/
+/4 width=6 by cpx_lleq_conf_dx, lleq_cpx_trans, cpxs_strap2/
 qed-.
 
-lemma lleq_cpxs_conf_dx: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[h, g] T2 →
+lemma cpxs_lleq_conf: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[h, g] T2 →
+                      ∀L1. L2 ⋕[T1, 0] L1 → ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2.
+/3 width=3 by lleq_cpxs_trans, lleq_sym/ qed-.
+
+lemma cpxs_lleq_conf_dx: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[h, g] T2 →
                          ∀L1. L1 ⋕[T1, 0] L2 → L1 ⋕[T2, 0] L2.
-#h #g #G #L2 #T1 #T2 #H @(cpxs_ind … H) -T2 /3 width=6 by lleq_cpx_conf_dx/
+#h #g #G #L2 #T1 #T2 #H @(cpxs_ind … H) -T2 /3 width=6 by cpx_lleq_conf_dx/
 qed-.
 
-lemma lleq_cpxs_conf_sn: ∀h,g,G,L1,T1,T2. ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2 →
+lemma cpxs_lleq_conf_sn: ∀h,g,G,L1,T1,T2. ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2 →
                          ∀L2. L1 ⋕[T1, 0] L2 → L1 ⋕[T2, 0] L2.
-/4 width=6 by lleq_cpxs_conf_dx, lleq_sym/ qed-.
+/4 width=6 by cpxs_lleq_conf_dx, lleq_sym/ qed-.