Theorems · Inductive type · order theory
NoBotOrder
(α : Type u_3) → [LE α] → Prop
Order without bottom elements.
- Defined in
- Mathlib.Order.Max
- Cited by
- 43 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- LE
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by46
Results whose statement or proof uses this declaration.
- StieltjesFunction.measure_Iicproof · cited by 8
- Filter.eventually_lt_atBotstatement and proof · cited by 8
- Filter.Iio_mem_atBotstatement and proof · cited by 7
- NoBotOrder.exists_not_gestatement and proof · cited by 5
- NoBotOrder.to_noMinOrderstatement and proof · cited by 4
- not_isBotstatement and proof · cited by 4
- Filter.eventually_ne_atBotstatement and proof · cited by 4
- not_tendsto_nhds_of_tendsto_atBotstatement and proof · cited by 3
- disjoint_nhds_atBotstatement and proof · cited by 3
- Filter.disjoint_atBot_principal_Icistatement and proof · cited by 2
- FirstOrder.Language.realize_noBotOrder_iffstatement and proof · cited by 2
- botOrderOrNoBotOrderstatement · cited by 2