Theorems · Theorem · general topology
Ultrafilter.ofComapInfPrincipal_eq_of_map
∀ {α : Type u} {β : Type v} {m : α → β} {s : Set α} {g : Ultrafilter β} (h : m '' s ∈ g),
Ultrafilter.map m (Ultrafilter.ofComapInfPrincipal h) = g- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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- Filterproof · cited by 8,121
- Set.imagestatement and proof · cited by 5,609
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- Filter.comapproof · cited by 546
- Ultrafilterstatement and proof · cited by 193
- inf_of_le_leftproof · cited by 186
- Ultrafilter.toFilterproof · cited by 172
- Filter.le_principal_iffproof · cited by 87
- Filter.map_monoproof · cited by 63
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