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Theorems · Theorem · general topology

Filter.Tendsto.isBoundedUnder_comp

∀ {ι : Type u_5} {κ : Type u_6} {X : Type u_7} {r : X → X → Prop} {f : ι → X} {φ : κ → ι} {𝓕 : Filter ι} {𝓖 : Filter κ},
  Filter.Tendsto φ 𝓖 𝓕 → Filter.IsBoundedUnder r 𝓕 f → Filter.IsBoundedUnder r 𝓖 (f ∘ φ)
Defined in
Mathlib.Order.Filter.IsBounded
Cited by
0 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Filter · cited by 8121FilterFilter.Tendsto · cited by 3814Filter.TendstoFilter.IsBoundedUnder · cited by 247Filter.IsBoundedUnderFilter.isBoundedUnder_map_iff · cited by 1Filter.isBoundedUnder_map…Filter.IsBoundedUnder.mono · cited by 1IsBoundedUnder.monoTendsto.isBoundedUnder_compCITED BYCITES

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