- advances in the theory of cofrees

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/lsx_alt.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/lsx_alt.ma
index cd7c83be9831e84679703de212810aedc767ab3b..50b41adb254437e5994e177b015d4bc43e30f2a4 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/lsx_alt.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/lsx_alt.ma
@@ -31,7 +31,7 @@ interpretation
 
 lemma lsxa_ind: ∀h,g,G,T,d. ∀R:predicate lenv.
                 (∀L1. G ⊢ ⬊⬊*[h, g, T, d] L1 →
-                      (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡*[h, g] L2 â\86\92 (L1 â\8b\95[T, d] L2 → ⊥) → R L2) →
+                      (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡*[h, g] L2 â\86\92 (L1 â\89¡[T, d] L2 → ⊥) → R L2) →
                       R L1
                 ) →
                 ∀L. G ⊢ ⬊⬊*[h, g, T, d] L → R L.
@@ -42,17 +42,17 @@ qed-.
 (* Basic properties *********************************************************)
 
 lemma lsxa_intro: ∀h,g,G,L1,T,d.
-                  (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡*[h, g] L2 â\86\92 (L1 â\8b\95[T, d] L2 → ⊥) → G ⊢ ⬊⬊*[h, g, T, d] L2) →
+                  (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡*[h, g] L2 â\86\92 (L1 â\89¡[T, d] L2 → ⊥) → G ⊢ ⬊⬊*[h, g, T, d] L2) →
                   G ⊢ ⬊⬊*[h, g, T, d] L1.
 /5 width=1 by lleq_sym, SN_intro/ qed.
 
 fact lsxa_intro_aux: ∀h,g,G,L1,T,d.
-                     (â\88\80L,L2. â¦\83G, Lâ¦\84 â\8a¢ â\9e¡*[h, g] L2 â\86\92 L1 â\8b\95[T, d] L â\86\92 (L1 â\8b\95[T, d] L2 → ⊥) → G ⊢ ⬊⬊*[h, g, T, d] L2) →
+                     (â\88\80L,L2. â¦\83G, Lâ¦\84 â\8a¢ â\9e¡*[h, g] L2 â\86\92 L1 â\89¡[T, d] L â\86\92 (L1 â\89¡[T, d] L2 → ⊥) → G ⊢ ⬊⬊*[h, g, T, d] L2) →
                      G ⊢ ⬊⬊*[h, g, T, d] L1.
 /4 width=3 by lsxa_intro/ qed-.
 
 lemma lsxa_lleq_trans: ∀h,g,T,G,L1,d. G ⊢ ⬊⬊*[h, g, T, d] L1 →
-                       â\88\80L2. L1 â\8b\95[T, d] L2 → G ⊢ ⬊⬊*[h, g, T, d] L2.
+                       â\88\80L2. L1 â\89¡[T, d] L2 → G ⊢ ⬊⬊*[h, g, T, d] L2.
 #h #g #T #G #L1 #d #H @(lsxa_ind … H) -L1
 #L1 #_ #IHL1 #L2 #HL12 @lsxa_intro
 #K2 #HLK2 #HnLK2 elim (lleq_lpxs_trans … HLK2 … HL12) -HLK2
@@ -66,7 +66,7 @@ elim (lleq_dec T L1 L2 d) /3 width=4 by lsxa_lleq_trans/
 qed-.
 
 lemma lsxa_intro_lpx: ∀h,g,G,L1,T,d.
-                      (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡[h, g] L2 â\86\92 (L1 â\8b\95[T, d] L2 → ⊥) → G ⊢ ⬊⬊*[h, g, T, d] L2) →
+                      (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡[h, g] L2 â\86\92 (L1 â\89¡[T, d] L2 → ⊥) → G ⊢ ⬊⬊*[h, g, T, d] L2) →
                       G ⊢ ⬊⬊*[h, g, T, d] L1.
 #h #g #G #L1 #T #d #IH @lsxa_intro_aux
 #L #L2 #H @(lpxs_ind_dx … H) -L
@@ -95,7 +95,7 @@ qed-.
 (* Advanced properties ******************************************************)
 
 lemma lsx_intro_alt: ∀h,g,G,L1,T,d.
-                     (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡*[h, g] L2 â\86\92 (L1 â\8b\95[T, d] L2 → ⊥) → G ⊢ ⬊*[h, g, T, d] L2) →
+                     (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡*[h, g] L2 â\86\92 (L1 â\89¡[T, d] L2 → ⊥) → G ⊢ ⬊*[h, g, T, d] L2) →
                      G ⊢ ⬊*[h, g, T, d] L1.
 /6 width=1 by lsxa_inv_lsx, lsx_lsxa, lsxa_intro/ qed.
 
@@ -107,7 +107,7 @@ lemma lsx_lpxs_trans: ∀h,g,G,L1,T,d. G ⊢ ⬊*[h, g, T, d] L1 →
 
 lemma lsx_ind_alt: ∀h,g,G,T,d. ∀R:predicate lenv.
                    (∀L1. G ⊢ ⬊*[h, g, T, d] L1 →
-                         (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡*[h, g] L2 â\86\92 (L1 â\8b\95[T, d] L2 → ⊥) → R L2) →
+                         (â\88\80L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡*[h, g] L2 â\86\92 (L1 â\89¡[T, d] L2 → ⊥) → R L2) →
                          R L1
                    ) →
                    ∀L. G ⊢ ⬊*[h, g, T, d] L → R L.