Theorems · Theorem · order theory
max_eq_left_iff
∀ {α : Type u} [inst : LinearOrder α] {a b : α}, max a b = a ↔ b ≤ a- 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.
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_eq_leftproof · cited by 71
Cited by4
Results whose statement or proof uses this declaration.
- abs_eq_selfproof · cited by 59
- mabs_eq_selfproof · cited by 3
- Polynomial.cyclotomic_eval_lt_add_one_pow_totientproof · cited by 1
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_innerproof · cited by 1