X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fdama%2Fdama%2Fordered_uniform.ma;h=66bcf6f0bf4595b1f346491113b8bac56586c316;hb=a99ab6bf4e5bb993d363a9e62985371ba14cf71a;hp=2ffda533ac61a612f850eb103d3b2e6e81b1473d;hpb=0b15dfdee3357a626c77d30599e87a83ab34e471;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 2ffda533a..66bcf6f0b 100644 --- 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]}.