HepLean Documentation

Mathlib.Algebra.Ring.Action.Field

Group action on fields #

@[simp]
theorem smul_inv'' {M : Type u_1} [Monoid M] {F : Type u_2} [DivisionRing F] [MulSemiringAction M F] (x : M) (m : F) :
x m⁻¹ = (x m)⁻¹

Note that smul_inv' refers to the group case, and smul_inv has an additional inverse on x.