Theorems · Theorem · order theory
max_le_max_left
∀ {α : Type u} [inst : LinearOrder α] {a b : α} (c : α), a ≤ b → max c a ≤ max c b- Defined in
- Mathlib.Order.MinMax
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- sup_le_sup_leftproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.card_opow_le_of_omega0_le_leftproof · cited by 3