Theorems · Theorem · order theory
max_eq_one
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : One α] [IsBotOneClass α] {a b : α}, max a b = 1 ↔ a = 1 ∧ b = 1- Defined in
- Mathlib.Algebra.Order.IsBotOne
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- LinearOrderOneIsBotOneClass
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- OrderBotproof · cited by 1,055
- IsBotOneClassstatement and proof · cited by 35
- IsBotOneClass.toOrderBotproof · cited by 3
- max_eq_botproof · cited by 3
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