update in ground_2 and basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / frees_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/frees_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/frees_drops.ma
index 0e1ae0e21c115e56f95f077c4c707164e7da37c3..096683f573a8076cbf70e5b635516d4ab5424979 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/frees_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/frees_drops.ma
@@ -154,6 +154,12 @@ lemma frees_lifts: ∀b,f1,K,T. K ⊢ 𝐅*⦃T⦄ ≡ f1 →
 ]
 qed-.
 
+lemma frees_lifts_SO: ∀b,L,K. ⬇*[b, 𝐔❴1❵] L ≡ K → ∀T,U. ⬆*[1] T ≡ U →
+                      ∀f. K ⊢ 𝐅*⦃T⦄ ≡ f → L ⊢ 𝐅*⦃U⦄ ≡ ↑f.
+#b #L #K #HLK #T #U #HTU #f #Hf
+@(frees_lifts b … Hf … HTU) //  (**) (* auto fails *)
+qed.
+
 (* Forward lemmas with generic slicing for local environments ***************)
 
 lemma frees_fwd_coafter: ∀b,f2,L,U. L ⊢ 𝐅*⦃U⦄ ≡ f2 →
@@ -185,6 +191,7 @@ lemma frees_inv_lifts: ∀b,f2,L,U. L ⊢ 𝐅*⦃U⦄ ≡ f2 →
 /3 width=7 by frees_eq_repl_back, coafter_inj/
 qed-.
 
+(* Note: this is used by lfxs_conf and might be modified *)
 lemma frees_inv_drops_next: ∀f1,L1,T1. L1 ⊢ 𝐅*⦃T1⦄ ≡ f1 →
                             ∀I2,L2,V2,n. ⬇*[n] L1 ≡ L2.ⓑ{I2}V2 →
                             ∀g1. ⫯g1 = ⫱*[n] f1 →