Theorems · Theorem · general topology
Absorbent.mono
∀ {M : Type u_1} {α : Type u_2} [inst : Bornology M] [inst_1 : SMul M α] {s t : Set α},
Absorbent M s → s ⊆ t → Absorbent M t- Defined in
- Mathlib.Topology.Bornology.Absorbs
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Bornologystatement and proof · cited by 188
- Absorbentstatement and proof · cited by 60
- Absorbs.mono_leftproof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- FiniteDimensional.of_totallyBounded_nhds_zeroproof · cited by 3
- gauge_closedBallproof · cited by 1
- Seminorm.absorbent_closedBall_zeroproof · cited by 1
- Absorbent.subset_range_iff_surjectiveproof · cited by 1
- Convex.lipschitzWith_gaugeproof · cited by 1
- Seminorm.absorbent_ballproof · cited by 1
- Seminorm.absorbent_closedBallproof · cited by 0