Theorems · Theorem · general topology
Filter.IsBasis.inter
∀ {α : Type u_1} {ι : Sort u_4} {p : ι → Prop} {s : ι → Set α},
Filter.IsBasis p s → ∀ {i j : ι}, p i → p j → ∃ k, p k ∧ s k ⊆ s i ∩ s js is directed downwards on i such that p i.
- Defined in
- Mathlib.Order.Filter.Bases.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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- Setstatement and proof · cited by 53,352
- Filter.IsBasisstatement and proof · cited by 14
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