Mathlib Map

Theorems · Theorem · general topology

Ultrafilter.map_id

∀ {α : Type u} (f : Ultrafilter α), Ultrafilter.map id f = f
Defined in
Mathlib.Order.Filter.Ultrafilter.Defs
Cited by
1 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Ultrafilter.map_id' · cited by 0Ultrafilter.map_id'Ultrafilter · cited by 193UltrafilterUltrafilter.map · cited by 26Ultrafilter.mapFilter.map_id · cited by 22Filter.map_idUltrafilter.coe_injective · cited by 8Ultrafilter.coe_injectiveUltrafilter.map_idCITED BYCITES

Cites4

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

Cited by1

Results whose statement or proof uses this declaration.