Theorems · Theorem · general topology
Filter.mem_vadd_filter
∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {f : Filter β} {s : Set β} {a : α},
s ∈ a +ᵥ f ↔ (fun x => a +ᵥ x) ⁻¹' s ∈ f- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- VAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Set.preimagestatement · cited by 4,946
- HVAdd.hVAddstatement · cited by 1,820
- VAddstatement and proof · cited by 616
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.vadd_aeproof · cited by 1