update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / equivalence / cpcs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs.ma b/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs.ma
index c979cedde9ec4ff3d86d04368f7c1483aa344882..75964c6159eaec418568c095317df546891f1b28 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs.ma
@@ -18,7 +18,7 @@ include "basic_2/conversion/cpc.ma".
 (* CONTEXT-SENSITIVE PARALLEL EQUIVALENCE ON TERMS **************************)
 
 definition cpcs: relation4 genv lenv term term ≝
-           λG. LTC … (cpc G).
+           λG. CTC … (cpc G).
 
 interpretation "context-sensitive parallel equivalence (term)"
    'PConvStar G L T1 T2 = (cpcs G L T1 T2).
@@ -45,7 +45,8 @@ lemma cpcs_refl: ∀G,L. reflexive … (cpcs G L).
 
 (* Basic_1: was: pc3_s *)
 lemma cpcs_sym: ∀G,L. symmetric … (cpcs G L).
-#G #L @TC_symmetric // qed-. (**) (* auto fails even after normalize *)
+normalize /3 width=1 by cpc_sym, TC_symmetric/
+qed-.
 
 lemma cpc_cpcs: ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬌ T2 → ⦃G, L⦄ ⊢ T1 ⬌* T2.
 /2 width=1 by inj/ qed.