Theorems · Theorem · order theory
max_eq_zero
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : Zero α] [IsBotZeroClass α] {a b : α}, max a b = 0 ↔ a = 0 ∧ b = 0- Defined in
- Mathlib.Algebra.Order.IsBotOne
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- IsBotZeroClassstatement and proof · cited by 71
- IsBotZeroClass.toOrderBotproof · cited by 4
- max_eq_botproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.max_eq_zeroproof · cited by 0