renaming ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/grammar/item.ma b/matita/matita/contribs/lambdadelta/basic_2/grammar/item.ma
index 99260ba797a31f4337c78d4782a4aeb490a76621..ab861be57187a8405c5fcad6e59ff7cecf6112f2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/grammar/item.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/grammar/item.ma
@@ -42,12 +42,18 @@ inductive item2: Type[0] ≝
   | Flat2: flat2 → item2        (* non-binding item *)
 .
 
+(* Basic inversion lemmas ***************************************************)
+
+fact destruct_sort_sort_aux: ∀s1,s2. Sort s1 = Sort s2 → s1 = s2.
+#s1 #s2 #H destruct //
+qed-.
+
 (* Basic properties *********************************************************)
 
 lemma eq_item0_dec: ∀I1,I2:item0. Decidable (I1 = I2).
 * #i1 * #i2 [2,3,4,6,7,8: @or_intror #H destruct ]
-elim (eq_nat_dec i1 i2) /2 width=1 by or_introl/
-#Hni12 @or_intror #H destruct /2 width=1 by/ 
+[2: elim (eq_nat_dec i1 i2) |1,3: elim (eq_nat_dec i1 i2) ] /2 width=1 by or_introl/
+#Hni12 @or_intror #H destruct /2 width=1 by/
 qed-.
 
 (* Basic_1: was: bind_dec *)
@@ -64,9 +70,9 @@ qed-.
 
 (* Basic_1: was: kind_dec *)
 lemma eq_item2_dec: ∀I1,I2:item2. Decidable (I1 = I2).
-* [ #a1 ] #I1 * [1,3: #a2 ] #I2
+* [ #p1 ] #I1 * [1,3: #p2 ] #I2
 [2,3: @or_intror #H destruct
-| elim (eq_bool_dec a1 a2) #Ha
+| elim (eq_bool_dec p1 p2) #Hp
   [ elim (eq_bind2_dec I1 I2) /2 width=1 by or_introl/ #HI ]
   @or_intror #H destruct /2 width=1 by/
 | elim (eq_flat2_dec I1 I2) /2 width=1 by or_introl/ #HI