Theorems · Theorem · general topology
Ultrafilter.comap_id
∀ {α : Type u} (f : Ultrafilter α) (h₀ : optParam (Function.Injective id) ⋯) (h₁ : optParam (Set.range id ∈ f) ⋯),
f.comap h₀ h₁ = f- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.rangestatement and proof · cited by 4,705
- Ultrafilterstatement and proof · cited by 193
- Filter.comap_idproof · cited by 10
- Ultrafilter.coe_injectiveproof · cited by 8
- Ultrafilter.comapstatement and proof · cited by 5
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