X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fdama%2Fdama%2Fmodels%2Fnat_lebesgue.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fdama%2Fdama%2Fmodels%2Fnat_lebesgue.ma;h=fd1d8dbcb26ad14c3c21725702e07a0d3e21f8eb;hb=bb7af347df386afcd3ea2adea8e7e982e3a5a253;hp=dd1f52b7233d8399cbd1dd390098969027e6815f;hpb=d7f3ff62899afb162cb2825af91de72fe6d8dc85;p=helm.git 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 dd1f52b72..fd1d8dbcb 100644 --- a/helm/software/matita/contribs/dama/dama/models/nat_lebesgue.ma +++ b/helm/software/matita/contribs/dama/dama/models/nat_lebesgue.ma @@ -16,11 +16,11 @@ include "lebesgue.ma". include "models/nat_order_continuous.ma". theorem nat_lebesgue_oc: - ∀a:sequence ℕ.∀l,u:ℕ.∀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.