Theorems · Theorem · general topology
Absorbs.mono_left
∀ {M : Type u_1} {α : Type u_2} [inst : Bornology M] [inst_1 : SMul M α] {s₁ s₂ t : Set α},
Absorbs M s₁ t → s₁ ⊆ s₂ → Absorbs M s₂ t- Defined in
- Mathlib.Topology.Bornology.Absorbs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- LE.le.transproof · cited by 3,151
- Filter.Eventually.monoproof · cited by 646
- Bornologystatement and proof · cited by 188
- Absorbsstatement and proof · cited by 59
- Set.smul_set_monoproof · cited by 15
Cited by5
Results whose statement or proof uses this declaration.
- Absorbent.monoproof · cited by 7
- TotallyBounded.isVonNBoundedproof · cited by 4
- Filter.HasBasis.isVonNBounded_iffproof · cited by 3
- Bornology.IsVonNBounded.addproof · cited by 3
- Absorbs.monoproof · cited by 0