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Theorems · Theorem · general topology

ultrafilter_extend_pure

∀ {α : Type u} {γ : Type u_1} [inst : TopologicalSpace γ] [T2Space γ] (f : α → γ) (a : α),
  Ultrafilter.extend f (pure a) = f a
Defined in
Mathlib.Topology.Compactification.StoneCech
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Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceT2Space
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TopologicalSpace · cited by 24529TopologicalSpaceT2Space · cited by 1351T2SpaceUltrafilter · cited by 193UltrafilterUltrafilter.extend · cited by 6Ultrafilter.extendultrafilter_extend_extends · cited by 4ultrafilter_extend_extendsultrafilter_extend_pureCITED BYCITES

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