Theorems · Theorem · general topology
Filter.ofSets_filter_eq_generate
∀ {α : Type u_1} (s : Set (Set α)), (Filter.FilterBasis.ofSets s).filter = Filter.generate s- Defined in
- Mathlib.Order.Filter.Bases.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Filter.generatestatement and proof · cited by 30
- FilterBasis.filterstatement · cited by 19
- FilterBasis.generateproof · cited by 4
- Filter.FilterBasis.ofSetsstatement and proof · cited by 3
- Filter.FilterBasis.ofSets_setsproof · cited by 2
- Filter.generate_eq_generate_interproof · cited by 1
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