update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / frees_append.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/frees_append.ma b/matita/matita/contribs/lambdadelta/static_2/static/frees_append.ma
index ce8d3480824fa6d7940439df86d12ede35205b87..294662aa40147d45ce7008555133d566dd04ac2b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/frees_append.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/frees_append.ma
@@ -19,7 +19,7 @@ include "static_2/static/frees.ma".
 
 (* Properties with append for local environments ****************************)
 
-lemma frees_append_void: ∀f,K,T. K ⊢ 𝐅*⦃T⦄ ≘ f → ⓧ.K ⊢ 𝐅*⦃T⦄ ≘ f.
+lemma frees_append_void: ∀f,K,T. K ⊢ 𝐅+❪T❫ ≘ f → ⓧ.K ⊢ 𝐅+❪T❫ ≘ f.
 #f #K #T #H elim H -f -K -T
 [ /2 width=1 by frees_sort/
 | #f * /3 width=1 by frees_atom, frees_unit, frees_lref/
@@ -34,11 +34,12 @@ qed.
 
 (* Inversion lemmas with append for local environments **********************)
 
-fact frees_inv_append_void_aux: ∀f,L,T. L ⊢ 𝐅*⦃T⦄ ≘ f →
-                                ∀K. L = ⓧ.K → K ⊢ 𝐅*⦃T⦄ ≘ f.
+fact frees_inv_append_void_aux:
+     ∀f,L,T. L ⊢ 𝐅+❪T❫ ≘ f →
+     ∀K. L = ⓧ.K → K ⊢ 𝐅+❪T❫ ≘ f.
 #f #L #T #H elim H -f -L -T
 [ /2 width=1 by frees_sort/
-| #f #i #_ #K #H 
+| #f #i #_ #K #H
   elim (append_inv_atom3_sn … H) -H #H1 #H2 destruct
 | #f #I #L #V #_ #IH #K #H
   elim (append_inv_bind3_sn … H) -H * [ | #Y ] #H1 #H2 destruct
@@ -55,5 +56,5 @@ fact frees_inv_append_void_aux: ∀f,L,T. L ⊢ 𝐅*⦃T⦄ ≘ f →
 ]
 qed-.
 
-lemma frees_inv_append_void: ∀f,K,T. ⓧ.K  ⊢ 𝐅*⦃T⦄ ≘ f → K ⊢ 𝐅*⦃T⦄ ≘ f.
+lemma frees_inv_append_void: ∀f,K,T. ⓧ.K  ⊢ 𝐅+❪T❫ ≘ f → K ⊢ 𝐅+❪T❫ ≘ f.
 /2 width=3 by frees_inv_append_void_aux/ qed-.