Theorems · Theorem · general topology
Absorbs.univ
∀ {G₀ : Type u_1} {α : Type u_2} [inst : GroupWithZero G₀] [inst_1 : Bornology G₀] [inst_2 : MulAction G₀ α]
{s : Set α}, Absorbs G₀ Set.univ s- Defined in
- Mathlib.Topology.Bornology.Absorbs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Set.univstatement · cited by 3,945
- MulActionstatement and proof · cited by 1,294
- GroupWithZerostatement and proof · cited by 691
- Filter.Eventually.monoproof · cited by 646
- Set.subset_univproof · cited by 228
- Bornologystatement and proof · cited by 188
- Absorbsstatement · cited by 59
- Bornology.eventually_ne_coboundedproof · cited by 6
- Set.smul_set_univ₀proof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Filter.absorbingproof · cited by 3
- absorbent_univproof · cited by 0