Theorems · Theorem · order theory
max_comm
∀ {α : Type u_1} [inst : LinearOrder α] (a b : α), max a b = max b a- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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_max_leftproof · cited by 215
- le_max_rightproof · cited by 205
- max_leproof · cited by 71
- eq_maxproof · cited by 4
Cited by41
Results whose statement or proof uses this declaration.
- max_eq_rightproof · cited by 79
- Set.uIoc_commproof · cited by 6
- Cardinal.mk_list_eq_max_mk_aleph0proof · cited by 5
- padicNorm.nonarchimedeanproof · cited by 5
- AddMonoidAlgebra.cardinalMk_eq_max_lift_of_infiniteproof · cited by 4
- Valuation.map_add_of_distinct_valproof · cited by 3
- max_left_commproof · cited by 3
- MonoidAlgebra.cardinalMk_eq_max_lift_of_infiniteproof · cited by 3
- Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countableproof · cited by 3
- Ordinal.card_opow_le_of_omega0_le_leftproof · cited by 3
- Set.uIcc_eq_unionproof · cited by 2
- MonoidAlgebra.cardinalMk_eq_max_lift_of_infinite'proof · cited by 2