Theorems · Theorem · general topology
eventually_mabs_div_lt
∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : CommGroup α] [inst_2 : LinearOrder α] [IsOrderedMonoid α]
[OrderTopology α] (a : α) {ε : α}, 1 < ε → ∀ᶠ (x : α) in nhds a, |x / a|ₘ < ε- Defined in
- Mathlib.Topology.Order.LeftRightNhds
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- LinearOrderstatement and proof · cited by 8,572
- Set.ofPredproof · cited by 6,101
- nhdsstatement · cited by 5,554
- Filter.Eventuallystatement · cited by 3,134
- OrderTopologystatement and proof · cited by 1,355
- CommGroupstatement and proof · cited by 990
- Filter.principalproof · cited by 740
- IsOrderedMonoidstatement and proof · cited by 577
- mabsstatement and proof · cited by 148
- Filter.mem_iInf_of_memproof · cited by 22
- mabs_div_commproof · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.