Theorems · Theorem · order theory
max_eq_top
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : OrderTop α] {a b : α}, max a b = ⊤ ↔ a = ⊤ ∨ b = ⊤- Defined in
- Mathlib.Order.BoundedOrder.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderOrderTop
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.
- Top.topstatement and proof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- OrderTopstatement and proof · cited by 493
- top_le_iffproof · cited by 175
- le_sup_iffproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
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