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Theorems · Theorem · general topology

Filter.Subsingleton.anti

∀ {α : Type u_1} {l l' : Filter α}, l.Subsingleton → l' ≤ l → l'.Subsingleton
Defined in
Mathlib.Order.Filter.Subsingleton
Cited by
2 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Filter.EventuallyConst.comp₂ · cited by 3EventuallyConst.comp₂Filter.EventuallyConst.anti · cited by 2EventuallyConst.antiSet · cited by 53352SetFilter · cited by 8121FilterSet.Subsingleton · cited by 276Set.SubsingletonFilter.Subsingleton · cited by 15Filter.SubsingletonSubsingleton.antiCITED BYCITES

Cites4

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

Cited by2

Results whose statement or proof uses this declaration.