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Theorems · Definition · general topology

Filter.Realizer.principal

{α : Type u_1} → (s : Set α) → (Filter.principal s).Realizer

Unit is a realizer for the principal filter

Defined in
Mathlib.Data.Analysis.Filter
Cited by
2 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Filter.Realizer.bot · cited by 3Realizer.botFilter.Realizer.top · cited by 2Realizer.topFilter.Realizer.principal_F · cited by 0Realizer.principal_FFilter.Realizer.principal_σ · cited by 0Realizer.principal_σSet · cited by 53352SetFilter.principal · cited by 740Filter.principalFilter.Realizer · cited by 13Filter.RealizerRealizer.principalCITED BYCITES

Cites3

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

Cited by4

Results whose statement or proof uses this declaration.