more additions and corrections for the article

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

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/lsubf_lsubr.ma b/matita/matita/contribs/lambdadelta/static_2/static/lsubf_lsubr.ma
index 0b0124fee7fed6a399a115abb3ac01bcf1321151..88d2ad9ba4f2ce542d15ce0d2a4f1acae487c134 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/lsubf_lsubr.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/lsubf_lsubr.ma
@@ -19,8 +19,8 @@ include "static_2/static/lsubf_lsubf.ma".
 
 (* Forward lemmas with restricted refinement for local environments *********)
 
-lemma lsubf_fwd_lsubr_isdiv: ∀f1,f2,L1,L2. ⦃L1,f1⦄ ⫃𝐅* ⦃L2,f2⦄ →
-                             𝛀⦃f1⦄ → 𝛀⦃f2⦄ → L1 ⫃ L2.
+lemma lsubf_fwd_lsubr_isdiv: 
+      ∀f1,f2,L1,L2. ⦃L1,f1⦄ ⫃𝐅+ ⦃L2,f2⦄ → 𝛀⦃f1⦄ → 𝛀⦃f2⦄ → L1 ⫃ L2.
 #f1 #f2 #L1 #L2 #H elim H -f1 -f2 -L1 -L2
 /4 width=3 by lsubr_bind, isdiv_inv_next/
 [ #f1 #f2 #I1 #I2 #L1 #L2 #_ #_ #H
@@ -32,8 +32,8 @@ qed-.
 
 (* Properties with restricted refinement for local environments *************)
 
-lemma lsubr_lsubf_isid: ∀L1,L2. L1 ⫃ L2 →
-                        ∀f1,f2. 𝐈⦃f1⦄ → 𝐈⦃f2⦄ → ⦃L1,f1⦄ ⫃𝐅* ⦃L2,f2⦄.
+lemma lsubr_lsubf_isid:
+      ∀L1,L2. L1 ⫃ L2 → ∀f1,f2. 𝐈⦃f1⦄ → 𝐈⦃f2⦄ → ⦃L1,f1⦄ ⫃𝐅+ ⦃L2,f2⦄.
 #L1 #L2 #H elim H -L1 -L2
 [ /3 width=1 by lsubf_atom, isid_inv_eq_repl/
 | #I #L1 #L2 | #L1 #L2 #V #W | #I1 #I2 #L1 #L2 #V
@@ -44,8 +44,9 @@ elim (isid_inv_gen … Hf2) -Hf2 #g2 #Hg2 #H destruct
 /3 width=1 by lsubf_push/
 qed.
 
-lemma lsubr_lsubf: ∀f2,L2,T. L2 ⊢ 𝐅*⦃T⦄ ≘ f2 → ∀L1. L1 ⫃ L2 →
-                   ∀f1. L1 ⊢ 𝐅*⦃T⦄ ≘ f1 → ⦃L1,f1⦄ ⫃𝐅* ⦃L2,f2⦄.
+lemma lsubr_lsubf:
+      ∀f2,L2,T. L2 ⊢ 𝐅+⦃T⦄ ≘ f2 → ∀L1. L1 ⫃ L2 →
+      ∀f1. L1 ⊢ 𝐅+⦃T⦄ ≘ f1 → ⦃L1,f1⦄ ⫃𝐅+ ⦃L2,f2⦄.
 #f2 #L2 #T #H elim H -f2 -L2 -T
 [ #f2 #L2 #s #Hf2 #L1 #HL12 #f1 #Hf1
   lapply (frees_inv_sort … Hf1) -Hf1 /2 width=1 by lsubr_lsubf_isid/