Theorems · Theorem · general topology
Absorbs.of_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 tAlias of the forward direction of absorbs_neg_neg.
- Defined in
- Mathlib.Topology.Bornology.Absorbs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
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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
- DistribMulActionstatement and proof · cited by 584
- Bornologystatement and proof · cited by 188
- Set.negstatement · cited by 168
- Absorbsstatement · cited by 59
- absorbs_neg_negproof · cited by 2
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