Theorems · Theorem · order theory

map_inv_mul

∀ {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 : CommGroup α] [GroupSeminormClass F α β] (x y : α), f (x⁻¹ * y) = f (x * y⁻¹)

Defined in

Mathlib.Algebra.Order.Hom.Basic

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext

Assumes

AddCommMonoidPartialOrderFunLikeCommGroupGroupSeminormClass