models ported

[helm.git] / helm / software / matita / contribs / dama / dama / models / nat_lebesgue.ma

diff --git a/helm/software/matita/contribs/dama/dama/models/nat_lebesgue.ma b/helm/software/matita/contribs/dama/dama/models/nat_lebesgue.ma
index 228392dda8a8c7254fc5c1abcd8d2d14fb595c4d..fd1d8dbcb26ad14c3c21725702e07a0d3e21f8eb 100644 (file)
--- a/helm/software/matita/contribs/dama/dama/models/nat_lebesgue.ma
+++ b/helm/software/matita/contribs/dama/dama/models/nat_lebesgue.ma
@@ -15,13 +15,12 @@
 include "lebesgue.ma".
 include "models/nat_order_continuous.ma".
 
-alias symbol "pair" = "dependent pair".
 theorem nat_lebesgue_oc:
-   ∀a:sequence ℕ.∀l,u:nat_ordered_uniform_space.∀H:∀i:nat.a i ∈ [l,u]. 
+   ∀a:sequence ℕ.∀s:‡ℕ.∀H:∀i:nat.a i ∈ s. 
      ∀x:ℕ.a order_converges x → 
-      x ∈ [l,u] ∧ 
-      ∀h:x ∈ [l,u].
-       uniform_converge {[l,u]} (⌊n,〈a n,H n〉⌋) 〈x,h〉.
+      x ∈ s ∧ 
+      ∀h:x ∈ s.
+       uniform_converge {[s]} ⌊n,≪a n,H n≫⌋ ≪x,h≫.
 intros; apply lebesgue_oc; [apply nat_us_is_oc] assumption;
 qed.