Theorems · Theorem · order theory
max_eq_left_of_lt
∀ {α : Type u_1} [inst : LinearOrder α] {a b : α}, b < a → max a b = a- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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_of_ltproof · cited by 1,175
- max_eq_leftproof · cited by 96
Cited by11
Results whose statement or proof uses this declaration.
- Polynomial.degree_add_eq_left_of_degree_ltproof · cited by 14
- Valuation.map_add_of_distinct_valproof · cited by 3
- norm_root_le_spectralValueproof · cited by 3
- IsCoercive.antilipschitzproof · cited by 2
- IsNonarchimedean.add_eq_max_of_neproof · cited by 2
- WeierstrassCurve.Affine.CoordinateRing.degree_norm_smul_basisproof · cited by 1
- MvPolynomial.totalDegree_add_eq_left_of_totalDegree_ltproof · cited by 1
- Polynomial.degree_add_eq_of_leadingCoeff_add_ne_zeroproof · cited by 1
- MvPolynomial.degreeOf_add_eq_of_degreeOf_ltproof · cited by 1
- IsNonarchimedean.add_eq_left_of_ltproof · cited by 1
- MvPolynomial.degreeOf_eq_of_degreeOf_add_ltproof · cited by 0