Theorems · Definition · order theory
IsBotOneClass.toOrderBot
(α : Type u_1) → [inst : LE α] → [inst_1 : One α] → [IsBotOneClass α] → OrderBot α
Create an OrderBot instance, setting 1 as the bottom element.
- Defined in
- Mathlib.Algebra.Order.IsBotOne
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- LEOneIsBotOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- OrderBotstatement · cited by 1,055
- IsBotOneClassstatement and proof · cited by 35
- one_leproof · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- max_eq_oneproof · cited by 0
- min_eq_oneproof · cited by 0
- one_notMem_iffproof · cited by 0