Theorems · Theorem · general topology
absorbs_neg_neg
∀ {M : Type u_1} {E : Type u_2} [inst : Monoid M] [inst_1 : AddGroup E] [inst_2 : DistribMulAction M E]
[inst_3 : Bornology M] {s t : Set E}, Absorbs M (-s) (-t) ↔ Absorbs M s t- Defined in
- Mathlib.Topology.Bornology.Absorbs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, 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
- AddGroupstatement and proof · cited by 4,410
- Monoidstatement and proof · cited by 3,887
- Filter.Eventuallyproof · cited by 3,134
- DistribMulActionstatement and proof · cited by 584
- Bornologystatement and proof · cited by 188
- Set.negstatement · cited by 168
- Bornology.coboundedproof · cited by 162
- Absorbsstatement · cited by 59
- Set.smul_set_negproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Absorbs.neg_negproof · cited by 2
- Absorbs.of_neg_negproof · cited by 0