Using Prop conjuction on Props lowers the universes.

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

diff --git a/helm/software/matita/contribs/dama/dama/ordered_uniform.ma b/helm/software/matita/contribs/dama/dama/ordered_uniform.ma
index bf0260a510ac775fede207a1760f26e371e36daf..2ffda533ac61a612f850eb103d3b2e6e81b1473d 100644 (file)
--- a/helm/software/matita/contribs/dama/dama/ordered_uniform.ma
+++ b/helm/software/matita/contribs/dama/dama/ordered_uniform.ma
@@ -53,8 +53,8 @@ qed.
 
 coercion cic:/matita/dama/ordered_uniform/segment_square_of_ordered_set_square.con 0 2.
 
-alias symbol "pi1" (instance 4) = "exT \fst".
-alias symbol "pi1" (instance 2) = "exT \fst".
+alias symbol "pi1" (instance 4) = "sigT \fst".
+alias symbol "pi1" (instance 2) = "sigT \fst".
 lemma ordered_set_square_of_segment_square : 
  ∀O:ordered_set.∀u,v:O.{[u,v]} square → O square ≝ 
   λO:ordered_set.λu,v:O.λb:{[u,v]} square.〈\fst(\fst b),\fst(\snd b)〉.
@@ -100,6 +100,8 @@ notation < "x \sub \neq" with precedence 91 for @{'bsss $x}.
 interpretation "bs_of_ss" 'bsss x = (bs_of_ss _ _ _ x).
 
 alias symbol "square" (instance 7) = "ordered set square".
+alias symbol "square" (instance 13) = "ordered set square".
+alias symbol "dependent_pair" = "dependent set".
 lemma ss_of_bs: 
  ∀O:ordered_set.∀u,v:O.
   ∀b:O square.\fst b ∈ [u,v] → \snd b ∈ [u,v] → {[u,v]} square ≝ 
@@ -159,7 +161,7 @@ interpretation "Ordered uniform space segment" 'segment_set a b =
  (segment_ordered_uniform_space _ a b).
 
 (* Lemma 3.2 *)
-alias symbol "pi1" = "exT \fst".
+alias symbol "pi1" = "sigT \fst".
 lemma restric_uniform_convergence:
  ∀O:ordered_uniform_space.∀l,u:O.
   ∀x:{[l,u]}.