Theorems · Theorem · general topology
Filter.mem_sdiff_iff_union
∀ {α : Type u} {f g : Filter α} {s : Set α}, s ∈ f \ g ↔ ∀ t ∈ g, s ∪ t ∈ f- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 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 and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Filter.mem_of_supersetproof · cited by 308
- Set.subset_union_leftproof · cited by 142
- Set.subset_union_rightproof · cited by 123
- Set.union_eq_rightproof · cited by 14
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