pnt-declarations/PrimeNumberTheoremAnd.Mathlib.Topology.UniformSpace.UniformConvergence.jsonl

{"name":"TendstoUniformlyOnFilter.tendsto_of_eventually_tendsto","declaration":"theorem TendstoUniformlyOnFilter.tendsto_of_eventually_tendsto {ι : Type u_1} {α : Type u_2} {β : Type u_3} [UniformSpace β] {l : Filter ι} [Filter.NeBot l] {p : Filter α} {F : ι → α → β} {f : α → β} {L : ι → β} {ℓ : β} (h1 : TendstoUniformlyOnFilter F f l p) (h2 : ∀ᶠ (i : ι) in l, Filter.Tendsto (F i) p (nhds (L i))) (h3 : Filter.Tendsto L l (nhds ℓ)) : Filter.Tendsto f p (nhds ℓ)"}
{"name":"TendstoUniformly.tendsto_of_eventually_tendsto","declaration":"theorem TendstoUniformly.tendsto_of_eventually_tendsto {ι : Type u_1} {α : Type u_2} {β : Type u_3} [UniformSpace β] {l : Filter ι} [Filter.NeBot l] {p : Filter α} {F : ι → α → β} {f : α → β} {L : ι → β} {ℓ : β} (h1 : TendstoUniformly F f l) (h2 : ∀ᶠ (i : ι) in l, Filter.Tendsto (F i) p (nhds (L i))) (h3 : Filter.Tendsto L l (nhds ℓ)) : Filter.Tendsto f p (nhds ℓ)"}