X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=inline;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fdama%2Fdama%2Fordered_uniform.ma;h=2ffda533ac61a612f850eb103d3b2e6e81b1473d;hb=1c2cadee5d666f0e31085a4ff358d667379c4f25;hp=bf0260a510ac775fede207a1760f26e371e36daf;hpb=591ffe6f23ec9d2a4d368d2c1e7b213986189e44;p=helm.git diff --git a/helm/software/matita/contribs/dama/dama/ordered_uniform.ma b/helm/software/matita/contribs/dama/dama/ordered_uniform.ma index bf0260a51..2ffda533a 100644 --- 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]}.