Most of the time, URIs can now be replaced with identifiers in "interpretation".

[helm.git] / helm / software / matita / contribs / dama / dama / property_sigma.ma

diff --git a/helm/software/matita/contribs/dama/dama/property_sigma.ma b/helm/software/matita/contribs/dama/dama/property_sigma.ma
index c67dd1785297b96968870033dadca3df385053a1..691d21045957d285b230c08bb82ee45984fad487 100644 (file)
--- a/helm/software/matita/contribs/dama/dama/property_sigma.ma
+++ b/helm/software/matita/contribs/dama/dama/property_sigma.ma
@@ -62,10 +62,8 @@ qed.
 definition hide ≝ λT:Type.λx:T.x.
 
 notation < "\blacksquare" non associative with precedence 50 for @{'hide}.
-interpretation "hide" 'hide =
- (cic:/matita/dama/property_sigma/hide.con _ _).
-interpretation "hide2" 'hide =
- (cic:/matita/dama/property_sigma/hide.con _ _ _).
+interpretation "hide" 'hide = (hide _ _).
+interpretation "hide2" 'hide = (hide _ _ _).
 
 definition inject ≝ λP.λa:nat.λp:P a. ex_introT ? P ? p.
 coercion cic:/matita/dama/property_sigma/inject.con 0 1.
@@ -114,18 +112,12 @@ lapply (H9 ?? H10) as H11; [
   apply (trans_increasing ?? H4); intro; whd in H12;
   apply (not_le_Sn_n i);  apply (transitive_le ??? H12 H5)]
 clear H10; intros (p q r); change with (w p 〈a (m q),a (m r)〉);
-generalize in match (refl_eq nat (m q)); 
-generalize in match (m q) in ⊢ (? ? ? % → %); intro X; cases X; clear X;
-intros; simplify in H12:(? ? ? %); simplify in ⊢ (? ? (? ? ? % ?)); 
-generalize in match (refl_eq nat (m r)); 
-generalize in match (m r) in ⊢ (? ? ? % → %); intro X; cases X; clear X;
-intros; simplify in H14:(? ? ? %); simplify in ⊢ (? ? (? ? ? ? %)); 
 generalize in match (refl_eq nat (m p));
-generalize in match (m p) in ⊢ (? ? ? % → %); intro X; cases X; clear X;
-intros; simplify in H16:(? ? ? %);
-apply H15; [3: apply le_n] destruct H16; destruct H14; destruct H12; clear H11 H13 H15;
+generalize in match (m p) in ⊢ (? ? ? % → %); intro X; cases X (w1 H15); clear X; 
+intros (H16); simplify in H16:(? ? ? %); destruct H16;
+apply H15; [3: apply le_n]
 [1: lapply (trans_increasing ?? Hm1 p q) as T; [apply not_lt_to_le; apply T;]
     apply (le_to_not_lt p q H5);
 |2: lapply (trans_increasing ?? Hm1 p r) as T; [apply not_lt_to_le; apply T;]
     apply (le_to_not_lt p r H10);]
-qed.
\ No newline at end of file
+qed.