]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/dama/dama/models/nat_lebesgue.ma
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[helm.git] / helm / software / matita / contribs / dama / dama / models / nat_lebesgue.ma
index 228392dda8a8c7254fc5c1abcd8d2d14fb595c4d..d5e65215ec43a4bdaa3bc18be7d10acad54555c5 100644 (file)
@@ -1,4 +1,4 @@
-(**************************************************************************)
+  (**************************************************************************)
 (*       ___                                                              *)
 (*      ||M||                                                             *)
 (*      ||A||       A project by Andrea Asperti                           *)
 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.