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Theorems · Theorem · general topology

Ultrafilter.coe_injective

∀ {α : Type u}, Function.Injective Ultrafilter.toFilter
Defined in
Mathlib.Order.Filter.Ultrafilter.Defs
Cited by
8 results in Mathlib
Foundations
Depth 17 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.

Ultrafilter.eq_of_le · cited by 3Ultrafilter.eq_of_leUltrafilter.ext · cited by 2Ultrafilter.extUltrafilter.map_id · cited by 1Ultrafilter.map_idUltrafilter.coe_inj · cited by 1Ultrafilter.coe_injUltrafilter.map_map · cited by 0Ultrafilter.map_mapUltrafilter.comap_comap · cited by 0Ultrafilter.comap_comapUltrafilter.comap_id · cited by 0Ultrafilter.comap_idUltrafilter.comap_pure · cited by 0Ultrafilter.comap_pureFilter · cited by 8121FilterFilter.NeBot · cited by 853Filter.NeBotUltrafilter · cited by 193UltrafilterUltrafilter.toFilter · cited by 172Ultrafilter.toFilterUltrafilter.coe_injectiveCITED BYCITES

Cites4

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

Cited by8

Results whose statement or proof uses this declaration.