Theorems · Theorem · order theory
max_def
∀ {α : Type u_1} [inst : LinearOrder α] (a b : α), max a b = if a ≤ b then b else a- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- 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
- LinearOrder.max_defproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- max_def'proof · cited by 7
- Continuous.maxproof · cited by 7
- isNonarchimedean_smoothingFunproof · cited by 1
- max_def_ltproof · cited by 1
- AddUnits.max_valproof · cited by 0
- max_indproof · cited by 0
- Units.max_valproof · cited by 0