- some work on append

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / grammar / lenv.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/grammar/lenv.ma b/matita/matita/contribs/lambdadelta/basic_2/grammar/lenv.ma
index a15c5309b9b3308daae7f84e35b158d67e8a9296..c34238632d50c18f97f9044bb0295291fa3a3b04 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/grammar/lenv.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/grammar/lenv.ma
@@ -29,7 +29,7 @@ inductive lenv: Type[0] ≝
 interpretation "sort (local environment)"
    'Star = LAtom.
 
-interpretation "environment binding construction (binary)"
+interpretation "local environment binding construction (binary)"
    'DxBind2 L I T = (LPair L I T).
 
 interpretation "abbreviation (local environment)"
@@ -40,21 +40,19 @@ interpretation "abstraction (local environment)"
 
 (* Basic properties *********************************************************)
 
-axiom lenv_eq_dec: ∀L1,L2:lenv. Decidable (L1 = L2).
+axiom eq_lenv_dec: ∀L1,L2:lenv. Decidable (L1 = L2).
 
 (* Basic inversion lemmas ***************************************************)
 
 lemma destruct_lpair_lpair: ∀I1,I2,L1,L2,V1,V2. L1.ⓑ{I1}V1 = L2.ⓑ{I2}V2 →
                             ∧∧L1 = L2 & I1 = I2 & V1 = V2.
-#I1 #I2 #L1 #L2 #V1 #V2 #H destruct /2 width=1/
+#I1 #I2 #L1 #L2 #V1 #V2 #H destruct /2 width=1 by and3_intro/
 qed-.
 
 lemma discr_lpair_x_xy: ∀I,V,L. L = L.ⓑ{I}V → ⊥.
 #I #V #L elim L -L
 [ #H destruct
 | #L #J #W #IHL #H
-  elim (destruct_lpair_lpair … H) -H #H1 #H2 #H3 destruct /2 width=1/ (**) (* destruct lemma needed *)
+  elim (destruct_lpair_lpair … H) -H #H1 #H2 #H3 destruct /2 width=1 by/ (**) (* destruct lemma needed *)
 ]
 qed-.
-
-(* Basic_1: removed theorems 2: chead_ctail c_tail_ind *)