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Theorems · Theorem · general topology

Filter.HasBasis.comp_surjective

∀ {α : Type u_1} {ι : Sort u_4} {ι' : Sort u_5} {l : Filter α} {p : ι → Prop} {s : ι → Set α},
  l.HasBasis p s → ∀ {g : ι' → ι}, Function.Surjective g → l.HasBasis (p ∘ g) (s ∘ g)
Defined in
Mathlib.Order.Filter.Bases.Basic
Cited by
4 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

inv_atTop₀ · cited by 3inv_atTop₀inv_atBot₀ · cited by 2inv_atBot₀Filter.HasBasis.comp_equiv · cited by 2HasBasis.comp_equivHomeomorph.comap_coclosedCompact · cited by 1Homeomorph.comap_coclosed…Set · cited by 53352SetFilter · cited by 8121FilterFilter.HasBasis · cited by 604Filter.HasBasisFilter.HasBasis.mem_iff · cited by 193HasBasis.mem_iffFunction.Surjective.exists · cited by 53Surjective.existsHasBasis.comp_surjectiveCITED BYCITES

Cites5

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Cited by4

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