Theorems · Theorem · general topology
Filter.mem_one
∀ {α : Type u_2} [inst : One α] {s : Set α}, s ∈ 1 ↔ 1 ∈ s- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- One
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 · cited by 8,121
- Filter.mem_pureproof · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- Filter.mul_top_of_one_leproof · cited by 1
- Filter.top_mul_of_one_leproof · cited by 0