]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/ground/relocation/pr_after_nat.ma
update in ground
[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / pr_after_nat.ma
index d236932028fdfd1ded4c8c7643a3f3ab1df9d813..e1faddd22d63aef3e9e0b604625a1d6b200a8f48 100644 (file)
@@ -20,24 +20,24 @@ include "ground/relocation/pr_after_pat.ma".
 (* Destructions with pr_nat *************************************************)
 
 lemma pr_after_nat_des (l) (l1):
-      ∀f. @↑❨l1, f❩ ≘ l → ∀f2,f1. f2 ⊚ f1 ≘ f →
-      ∃∃l2. @↑❨l1, f1❩ ≘ l2 & @↑❨l2, f2❩ ≘ l.
+      ∀f. @§❨l1, f❩ ≘ l → ∀f2,f1. f2 ⊚ f1 ≘ f →
+      ∃∃l2. @§❨l1, f1❩ ≘ l2 & @§❨l2, f2❩ ≘ 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):
-      ∀f1,f2. @↑❨l1, f1❩ ≘ l2 → @↑❨l2, f2❩ ≘ l →
-      ∀f. f2 ⊚ f1 ≘ f → @↑❨l1, f❩ ≘ l.
+      ∀f1,f2. @§❨l1, f1❩ ≘ l2 → @§❨l2, f2❩ ≘ l →
+      ∀f. f2 ⊚ f1 ≘ f → @§❨l1, f❩ ≘ l.
 /2 width=6 by pr_after_des_pat/ qed-.
 
 lemma pr_after_des_nat_sn (l1) (l):
-      ∀f. @↑❨l1, f❩ ≘ l → ∀f1,l2. @↑❨l1, f1❩ ≘ l2 →
-      ∀f2. f2 ⊚ f1 ≘ f → @↑❨l2, f2❩ ≘ l.
+      ∀f. @§❨l1, f❩ ≘ l → ∀f1,l2. @§❨l1, f1❩ ≘ l2 →
+      ∀f2. f2 ⊚ f1 ≘ f → @§❨l2, f2❩ ≘ l.
 /2 width=6 by pr_after_des_pat_sn/ qed-.
 
 lemma pr_after_des_nat_dx (l) (l2) (l1):
-      ∀f,f2. @↑❨l1, f❩ ≘ l → @↑❨l2, f2❩ ≘ l →
-      ∀f1. f2 ⊚ f1 ≘ f → @↑❨l1, f1❩ ≘ l2.
+      ∀f,f2. @§❨l1, f❩ ≘ l → @§❨l2, f2❩ ≘ l →
+      ∀f1. f2 ⊚ f1 ≘ f → @§❨l1, f1❩ ≘ l2.
 /2 width=6 by pr_after_des_pat_dx/ qed-.