Since CProp_i = Type_i everything lowered without 2 distinct Sigma.

[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 2ffda533ac61a612f850eb103d3b2e6e81b1473d..66bcf6f0bf4595b1f346491113b8bac56586c316 100644 (file)
--- a/helm/software/matita/contribs/dama/dama/ordered_uniform.ma
+++ b/helm/software/matita/contribs/dama/dama/ordered_uniform.ma
@@ -30,7 +30,7 @@ unfold bishop_set_OF_ordered_uniform_space_;
 |5: cases (with_ X); simplify; apply (us_phi4 (ous_us_ X))]
 qed.
 
-coercion cic:/matita/dama/ordered_uniform/ous_unifspace.con.
+coercion ous_unifspace.
 
 record ordered_uniform_space : Type ≝ {
   ous_stuff :> ordered_uniform_space_;
@@ -51,15 +51,15 @@ lemma segment_square_of_ordered_set_square:
 intros; split; exists; [1: apply (\fst x) |3: apply (\snd x)] assumption;
 qed.
 
-coercion cic:/matita/dama/ordered_uniform/segment_square_of_ordered_set_square.con 0 2.
+coercion segment_square_of_ordered_set_square with 0 2.
 
-alias symbol "pi1" (instance 4) = "sigT \fst".
-alias symbol "pi1" (instance 2) = "sigT \fst".
+alias symbol "pi1" (instance 4) = "exT \fst".
+alias symbol "pi1" (instance 2) = "exT \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)〉.
 
-coercion cic:/matita/dama/ordered_uniform/ordered_set_square_of_segment_square.con.
+coercion ordered_set_square_of_segment_square.
 
 lemma restriction_agreement : 
   ∀O:ordered_uniform_space.∀l,r:O.∀P:{[l,r]} square → Prop.∀OP:O square → Prop.Prop.
@@ -99,9 +99,6 @@ lemma bs_of_ss:
 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 ≝ 
@@ -161,7 +158,7 @@ interpretation "Ordered uniform space segment" 'segment_set a b =
  (segment_ordered_uniform_space _ a b).
 
 (* Lemma 3.2 *)
-alias symbol "pi1" = "sigT \fst".
+alias symbol "pi1" = "exT \fst".
 lemma restric_uniform_convergence:
  ∀O:ordered_uniform_space.∀l,u:O.
   ∀x:{[l,u]}.