Theorems · Theorem · general topology
Ultrafilter.map_map
∀ {α : Type u} {β : Type v} {γ : Type u_1} (f : Ultrafilter α) (m : α → β) (n : β → γ),
Ultrafilter.map n (Ultrafilter.map m f) = Ultrafilter.map (n ∘ m) f- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ultrafilterstatement and proof · cited by 193
- Filter.map_mapproof · cited by 80
- Ultrafilter.mapstatement and proof · cited by 26
- Ultrafilter.coe_injectiveproof · cited by 8
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