MulChar.inv_apply_eq_inv

∀ {R : Type u_1} [inst : CommMonoid R] {R' : Type u_2} [inst_1 : CommMonoidWithZero R'] (χ : MulChar R R') (a : R),
  χ⁻¹ a = Ring.inverse (χ a)

The inverse of a multiplicative character χ, applied to a, is the inverse of χ a.

Defined in: Mathlib.NumberTheory.MulChar.Basic
Cited by: 5 results in Mathlib
Foundations: Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommMonoid CommMonoidWithZero

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.