Theorems · Theorem · order theory
max_eq_right
∀ {α : Type u_1} [inst : LinearOrder α] {a b : α}, a ≤ b → max a b = b- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 79 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
- max_eq_leftproof · cited by 96
- max_commproof · cited by 41
Cited by79
Results whose statement or proof uses this declaration.
- max_ltproof · cited by 42
- intervalIntegral.integral_eq_sub_of_hasDeriv_rightproof · cited by 8
- Cardinal.mk_finsupp_lift_of_infinite'proof · cited by 7
- max_eq_right_of_ltproof · cited by 7
- Valuation.map_eq_of_sub_ltproof · cited by 7
- Cardinal.aleph0_mul_eqproof · cited by 4
- contMDiffOn_projIccproof · cited by 4
- Finset.Nonempty.norm_sum_le_sup'_normproof · cited by 4
- CStarAlgebra.norm_posPart_leproof · cited by 3
- max_sub_min_eq_abs'proof · cited by 3
- Finset.Nonempty.norm_prod_le_sup'_normproof · cited by 3
- Subfield.cardinalMk_closure_le_maxproof · cited by 3