Mathlib Map

Theorems · Inductive type · general topology

Filter.IsCountableBasis

{α : Type u_1} → {ι : Type u_4} → (ι → Prop) → (ι → Set α) → Prop

IsCountableBasis p s means the image of s bounded by p is a countable filter basis.

Defined in
Mathlib.Order.Filter.CountablyGenerated
Cited by
2 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
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Around this declaration

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

Filter.IsCountableBasis.casesOn · cited by 0IsCountableBasis.casesOnFilter.IsCountableBasis.countable · cited by 0IsCountableBasis.countableFilter.IsCountableBasis.recOn · cited by 0IsCountableBasis.recOnFilter.IsCountableBasis.toIsBasis · cited by 0IsCountableBasis.toIsBasisSet · cited by 53352SetFilter.IsCountableBasisCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement · cited by 53,352

Cited by4

Results whose statement or proof uses this declaration.