Theorems · Definition · general topology
Filter.Realizer.iSup
{α : Type u_1} → {β : Type u_2} → {f : α → Filter β} → ((i : α) → (f i).Realizer) → (⨆ i, f i).RealizerConstruct a realizer for indexed supremum
- Defined in
- Mathlib.Data.Analysis.Filter
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- Filterstatement and proof · cited by 8,121
- iSupstatement and proof · cited by 2,415
- Filter.Realizer.σproof · cited by 18
- Filter.Realizerstatement and proof · cited by 13
- Filter.Realizer.ofEquivproof · cited by 2
- Filter.Realizer.topproof · cited by 2
- Filter.Realizer.ofEqproof · cited by 0
- Filter.Realizer.bindproof · cited by 0
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