Theorems · Theorem · general topology
absorbs_iInter
∀ {G₀ : Type u_1} {α : Type u_2} [inst : GroupWithZero G₀] [inst_1 : Bornology G₀] [inst_2 : MulAction G₀ α] {t : Set α}
{ι : Sort u_3} [Finite ι] {s : ι → Set α}, Absorbs G₀ (⋂ i, s i) t ↔ ∀ (i : ι), Absorbs G₀ (s i) t- Defined in
- Mathlib.Topology.Bornology.Absorbs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Finitestatement and proof · cited by 3,029
- MulActionstatement and proof · cited by 1,294
- Set.iInterstatement · cited by 1,084
- GroupWithZerostatement and proof · cited by 691
- Bornologystatement and proof · cited by 188
- Absorbsstatement · cited by 59
- Filter.iInter_memproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Absorbs.iInterproof · cited by 0