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Theorems · Theorem · general topology

Filter.subsingleton_iff_bot_or_pure

∀ {α : Type u_1} {l : Filter α}, l.Subsingleton ↔ l = ⊥ ∨ ∃ a, l = pure a

A filter is a subsingleton iff it is equal to or to pure a for some a.

Defined in
Mathlib.Order.Filter.Subsingleton
Cited by
1 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

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