Theorems · Theorem · order theory
min_def
∀ {α : Type u_1} [inst : LinearOrder α] (a b : α), min a b = if a ≤ b then a else b- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 10 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.min_defproof · cited by 1
Cited by10
Results whose statement or proof uses this declaration.
- min_le_leftproof · cited by 105
- min_le_rightproof · cited by 88
- min_selfproof · cited by 27
- le_minproof · cited by 21
- Measurable.minproof · cited by 2
- min_def'proof · cited by 2
- Units.min_valproof · cited by 1
- min_def_ltproof · cited by 1
- min_indproof · cited by 0
- AddUnits.min_valproof · cited by 0