update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / pr_after_nat.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_after_nat.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_after_nat.ma
index 238a9116fe9edb24399832ef98b859af47f0f51a..d236932028fdfd1ded4c8c7643a3f3ab1df9d813 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground/relocation/pr_after_nat.ma
+++ b/matita/matita/contribs/lambdadelta/ground/relocation/pr_after_nat.ma
@@ -20,24 +20,24 @@ include "ground/relocation/pr_after_pat.ma".
 (* Destructions with pr_nat *************************************************)
 
 lemma pr_after_nat_des (l) (l1):
-      â\88\80f. @â\86\91â\9dªl1, fâ\9d« ≘ l → ∀f2,f1. f2 ⊚ f1 ≘ f →
-      â\88\83â\88\83l2. @â\86\91â\9dªl1, f1â\9d« â\89\98 l2 & @â\86\91â\9dªl2, f2â\9d« ≘ l.
+      â\88\80f. @â\86\91â\9d¨l1, fâ\9d© ≘ l → ∀f2,f1. f2 ⊚ f1 ≘ f →
+      â\88\83â\88\83l2. @â\86\91â\9d¨l1, f1â\9d© â\89\98 l2 & @â\86\91â\9d¨l2, f2â\9d© ≘ l.
 #l #l1 #f #H1 #f2 #f1 #Hf
 elim (pr_after_pat_des … H1 … Hf) -f #i2 #H1 #H2
 /2 width=3 by ex2_intro/
 qed-.
 
 lemma pr_after_des_nat (l) (l2) (l1):
-      â\88\80f1,f2. @â\86\91â\9dªl1, f1â\9d« â\89\98 l2 â\86\92 @â\86\91â\9dªl2, f2â\9d« ≘ l →
-      â\88\80f. f2 â\8a\9a f1 â\89\98 f â\86\92 @â\86\91â\9dªl1, fâ\9d« ≘ l.
+      â\88\80f1,f2. @â\86\91â\9d¨l1, f1â\9d© â\89\98 l2 â\86\92 @â\86\91â\9d¨l2, f2â\9d© ≘ l →
+      â\88\80f. f2 â\8a\9a f1 â\89\98 f â\86\92 @â\86\91â\9d¨l1, fâ\9d© ≘ l.
 /2 width=6 by pr_after_des_pat/ qed-.
 
 lemma pr_after_des_nat_sn (l1) (l):
-      â\88\80f. @â\86\91â\9dªl1, fâ\9d« â\89\98 l â\86\92 â\88\80f1,l2. @â\86\91â\9dªl1, f1â\9d« ≘ l2 →
-      â\88\80f2. f2 â\8a\9a f1 â\89\98 f â\86\92 @â\86\91â\9dªl2, f2â\9d« ≘ l.
+      â\88\80f. @â\86\91â\9d¨l1, fâ\9d© â\89\98 l â\86\92 â\88\80f1,l2. @â\86\91â\9d¨l1, f1â\9d© ≘ l2 →
+      â\88\80f2. f2 â\8a\9a f1 â\89\98 f â\86\92 @â\86\91â\9d¨l2, f2â\9d© ≘ l.
 /2 width=6 by pr_after_des_pat_sn/ qed-.
 
 lemma pr_after_des_nat_dx (l) (l2) (l1):
-      â\88\80f,f2. @â\86\91â\9dªl1, fâ\9d« â\89\98 l â\86\92 @â\86\91â\9dªl2, f2â\9d« ≘ l →
-      â\88\80f1. f2 â\8a\9a f1 â\89\98 f â\86\92 @â\86\91â\9dªl1, f1â\9d« ≘ l2.
+      â\88\80f,f2. @â\86\91â\9d¨l1, fâ\9d© â\89\98 l â\86\92 @â\86\91â\9d¨l2, f2â\9d© ≘ l →
+      â\88\80f1. f2 â\8a\9a f1 â\89\98 f â\86\92 @â\86\91â\9d¨l1, f1â\9d© ≘ l2.
 /2 width=6 by pr_after_des_pat_dx/ qed-.