update in basic_2 ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/grammar/term_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/grammar/term_simple.ma
index 328dc55a69e411fb87502bca8a4256c09e12f0a4..6332ff149a2f94db65cc42751394393df1aea055 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/grammar/term_simple.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/grammar/term_simple.ma
@@ -12,6 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "basic_2/notation/relations/simple_1.ma".
 include "basic_2/grammar/term.ma".
 
 (* SIMPLE (NEUTRAL) TERMS ***************************************************)
@@ -24,21 +25,18 @@ inductive simple: predicate term ≝
 interpretation "simple (term)" 'Simple T = (simple T).
 
 (* Basic inversion lemmas ***************************************************)
-(*
-lemma mt: ∀R1,R2:Prop. (R1 → R2) → (R2 → ⊥) → R1 → ⊥.
-/3 width=1/ qed.
-*)
-fact simple_inv_bind_aux: ∀T. 𝐒⦃T⦄ → ∀a,J,W,U. T = ⓑ{a,J} W. U → ⊥.
+
+fact simple_inv_bind_aux: ∀T. 𝐒⦃T⦄ → ∀p,J,W,U. T = ⓑ{p,J}W.U → ⊥.
 #T * -T
-[ #I #a #J #W #U #H destruct
+[ #I #p #J #W #U #H destruct
 | #I #V #T #a #J #W #U #H destruct
 ]
-qed.
+qed-.
 
-lemma simple_inv_bind: ∀a,I,V,T. 𝐒⦃ⓑ{a,I} V. T⦄ → ⊥.
-/2 width=7/ qed-. (**) (* auto fails if mt is enabled *)
+lemma simple_inv_bind: ∀p,I,V,T. 𝐒⦃ⓑ{p,I} V. T⦄ → ⊥.
+/2 width=7 by simple_inv_bind_aux/ qed-.
 
 lemma simple_inv_pair: ∀I,V,T.  𝐒⦃②{I}V.T⦄ → ∃J. I = Flat2 J.
-* /2 width=2/ #a #I #V #T #H
-elim (simple_inv_bind … H)
+* /2 width=2 by ex_intro/
+#p #I #V #T #H elim (simple_inv_bind … H)
 qed-.