Theorems · Theorem · order theory
min_le_max
∀ {α : Type u} [inst : LinearOrder α] {a b : α}, min a b ≤ max a b- Defined in
- Mathlib.Order.MinMax
- Cited by
- 4 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.
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
- le_transproof · cited by 985
- le_max_leftproof · cited by 215
- min_le_leftproof · cited by 105
Cited by4
Results whose statement or proof uses this declaration.
- intervalIntegral.norm_integral_eq_norm_integral_uIocproof · cited by 5
- two_mul_le_add_sqproof · cited by 4
- ContinuousOn.image_uIcc_eq_Iccproof · cited by 1
- Int.card_uIccproof · cited by 0