Theorems · Theorem · general topology
Absorbs.sub
∀ {M : Type u_1} {E : Type u_2} [inst : Monoid M] [inst_1 : AddGroup E] [inst_2 : DistribMulAction M E]
[inst_3 : Bornology M] {s₁ s₂ t₁ t₂ : Set E}, Absorbs M s₁ t₁ → Absorbs M s₂ t₂ → Absorbs M (s₁ - s₂) (t₁ - t₂)- Defined in
- Mathlib.Topology.Bornology.Absorbs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- sub_eq_add_negproof · cited by 1,023
- DistribMulActionstatement and proof · cited by 584
- Bornologystatement and proof · cited by 188
- Set.substatement · cited by 136
- Absorbsstatement and proof · cited by 59
- Absorbs.addproof · cited by 3
- Absorbs.neg_negproof · cited by 2
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