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Theorems · Theorem · general topology

Set.Finite.notMem_hyperfilter

∀ {α : Type u} [inst : Infinite α] {s : Set α}, s.Finite → s ∉ Filter.hyperfilter α

Alias of Filter.notMem_hyperfilter_of_finite.

Defined in
Mathlib.Order.Filter.Ultrafilter.Basic
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Infinite
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Around this declaration

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

Filter.compl_mem_hyperfilter_of_finite · cited by 1Filter.compl_mem_hyperfil…Set · cited by 53352SetSet.Finite · cited by 1814Set.FiniteInfinite · cited by 352InfiniteUltrafilter · cited by 193UltrafilterFilter.hyperfilter · cited by 30Filter.hyperfilterFilter.notMem_hyperfilter_of_finite · cited by 1Filter.notMem_hyperfilter…Finite.notMem_hyperfilterCITED BYCITES

Cites6

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Cited by1

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