]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/ground/relocation/pr_after_ist.ma
update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / pr_after_ist.ma
index 9756cd207474dc5e26f343afa99eabe118f000e2..3973bad47340856096ea50605f08e27a942727c5 100644 (file)
@@ -47,15 +47,15 @@ qed-.
 
 (*** after_at1_fwd *)
 lemma pr_after_des_ist_pat:
-      ∀f1,i1,i2. @❨i1, f1❩ ≘ i2 → ∀f2. 𝐓❨f2❩ → ∀f. f2 ⊚ f1 ≘ f →
-      ∃∃i. @❨i2, f2❩ ≘ i & @❨i1, f❩ ≘ i.
+      ∀f1,i1,i2. @⧣❨i1, f1❩ ≘ i2 → ∀f2. 𝐓❨f2❩ → ∀f. f2 ⊚ f1 ≘ f →
+      ∃∃i. @⧣❨i2, f2❩ ≘ i & @⧣❨i1, f❩ ≘ i.
 #f1 #i1 #i2 #Hf1 #f2 #Hf2 #f #Hf elim (Hf2 i2) -Hf2
 /3 width=8 by pr_after_des_pat, ex2_intro/
 qed-.
 
 lemma pr_after_des_ist_nat:
-      ∀f1,l1,l2. @↑❨l1, f1❩ ≘ l2 → ∀f2. 𝐓❨f2❩ → ∀f. f2 ⊚ f1 ≘ f →
-      ∃∃l. @↑❨l2, f2❩ ≘ l & @↑❨l1, f❩ ≘ l.
+      ∀f1,l1,l2. @§❨l1, f1❩ ≘ l2 → ∀f2. 𝐓❨f2❩ → ∀f. f2 ⊚ f1 ≘ f →
+      ∃∃l. @§❨l2, f2❩ ≘ l & @§❨l1, f❩ ≘ l.
 #f1 #l1 #l2 #H1 #f2 #H2 #f #Hf
 elim (pr_after_des_ist_pat … H1 … H2 … Hf) -f1 -H2
 /2 width=3 by ex2_intro/