Theorems · Theorem · order theory

map_neg_add

∀ {F : Type u_2} {β : Type u_4} [inst : AddCommMonoid β] [inst_1 : PartialOrder β] (f : F) {α : Type u_7}
  [inst_2 : FunLike F α β] [inst_3 : AddCommGroup α] [AddGroupSeminormClass F α β] (x y : α), f (-x + y) = f (x + -y)

Defined in

Mathlib.Algebra.Order.Hom.Basic

Cited by

1 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext

Assumes

AddCommMonoidPartialOrderFunLikeAddCommGroupAddGroupSeminormClass