notational update in lambdadelta completed

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / relocation / nstream_eq.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/relocation/nstream_eq.ma b/matita/matita/contribs/lambdadelta/ground_2/relocation/nstream_eq.ma
index f4dc571fd371c3cedf20802c32417e8d214225ab..48f3e010042da33afdc150f3137879799ba439de 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground_2/relocation/nstream_eq.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/relocation/nstream_eq.ma
@@ -18,7 +18,7 @@ include "ground_2/relocation/rtmap_eq.ma".
 
 (* Specific properties ******************************************************)
 
-fact eq_inv_seq_aux: ∀f1,f2,n1,n2. n1@f1 ≡ n2@f2 → n1 = n2 ∧ f1 ≡ f2.
+fact eq_inv_seq_aux: ∀f1,f2,n1,n2. n1⨮f1 ≡ n2⨮f2 → n1 = n2 ∧ f1 ≡ f2.
 #f1 #f2 #n1 #n2 @(nat_elim2 … n1 n2) -n1 -n2
 [ #n2 #H elim (eq_inv_px … H) -H [2,3: // ]
   #g1 #H1 #H elim (push_inv_seq_dx … H) -H /2 width=1 by conj/
@@ -28,7 +28,7 @@ fact eq_inv_seq_aux: ∀f1,f2,n1,n2. n1@f1 ≡ n2@f2 → n1 = n2 ∧ f1 ≡ f2.
 ]
 qed-.
 
-lemma eq_inv_seq: ∀g1,g2. g1 ≡ g2 → ∀f1,f2,n1,n2. n1@f1 = g1 → n2@f2 = g2 →
+lemma eq_inv_seq: ∀g1,g2. g1 ≡ g2 → ∀f1,f2,n1,n2. n1⨮f1 = g1 → n2⨮f2 = g2 →
                   n1 = n2 ∧ f1 ≡ f2.
 /2 width=1 by eq_inv_seq_aux/ qed-.
 
@@ -51,5 +51,5 @@ corec lemma nstream_inv_eq: ∀f1,f2. f1 ≗ f2 → f1 ≡ f2.
 #n @eq_next /3 width=5 by eq_seq/
 qed.
 
-lemma eq_seq_id: ∀f1,f2. f1 ≡ f2 → ∀n. n@f1 ≡ n@f2.
+lemma eq_seq_id: ∀f1,f2. f1 ≡ f2 → ∀n. n⨮f1 ≡ n⨮f2.
 /4 width=1 by nstream_inv_eq, nstream_eq, eq_seq/ qed.