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Theorems · Theorem · general topology

FilterBasis.hasBasis

∀ {α : Type u_1} (B : FilterBasis α), B.filter.HasBasis (fun s => s ∈ B) id
Defined in
Mathlib.Order.Filter.Bases.Basic
Cited by
10 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

AddGroupFilterBasis.nhds_zero_hasBasis · cited by 6AddGroupFilterBasis.nhds_…AddGroupFilterBasis.nhds_eq · cited by 3AddGroupFilterBasis.nhds_…GroupFilterBasis.nhds_eq · cited by 3GroupFilterBasis.nhds_eqGroupFilterBasis.nhds_one_hasBasis · cited by 2GroupFilterBasis.nhds_one…AddGroupFilterBasis.hasBasis · cited by 1AddGroupFilterBasis.hasBa…SeminormFamily.filter_eq_iInf · cited by 1SeminormFamily.filter_eq_…GroupFilterBasis.hasBasis · cited by 1GroupFilterBasis.hasBasisSeminormFamily.withSeminorms_of_hasBasis · cited by 1SeminormFamily.withSemino…WithSeminorms.toLocallyConvexSpace · cited by 1WithSeminorms.toLocallyCo…TopologicalSpace.nhds_mkOfNhds_filterBasis · cited by 0TopologicalSpace.nhds_mkO…Set · cited by 53352SetFilter.HasBasis · cited by 604Filter.HasBasisFilterBasis · cited by 23FilterBasisFilterBasis.filter · cited by 19FilterBasis.filterFilterBasis.mem_filter_iff · cited by 3FilterBasis.mem_filter_iffFilterBasis.hasBasisCITED BYCITES

Cites5

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Cited by10

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