Mathlib Map

Theorems · Definition · general topology

Filter.Realizer.bot

{α : Type u_1} → ⊥.Realizer

Unit is a realizer for the bottom filter

Defined in
Mathlib.Data.Analysis.Filter
Cited by
3 results in Mathlib
Foundations
Depth 66 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.ne_bot_iff · cited by 0Realizer.ne_bot_iffFilter.Realizer.bot_F · cited by 0Realizer.bot_FFilter.Realizer.bot_σ · cited by 0Realizer.bot_σFilter · cited by 8121FilterBot.bot · cited by 4720Bot.botFilter.principal_empty · cited by 19Filter.principal_emptyFilter.Realizer · cited by 13Filter.RealizerFilter.Realizer.principal · cited by 2Realizer.principalFilter.Realizer.ofEq · cited by 0Realizer.ofEqRealizer.botCITED BYCITES

Cites6

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

Cited by3

Results whose statement or proof uses this declaration.