Theorems · Theorem · order theory
max_eq_bot
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : OrderBot α] {a b : α}, max a b = ⊥ ↔ a = ⊥ ∧ b = ⊥- Defined in
- Mathlib.Order.BoundedOrder.Lattice
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- LinearOrderOrderBot
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Bot.botstatement · cited by 4,720
- OrderBotstatement and proof · cited by 1,055
- sup_eq_bot_iffproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- max_eq_zeroproof · cited by 1
- max_eq_oneproof · cited by 0
- ENNReal.max_eq_zero_iffproof · cited by 0