Theorems · Theorem · number theory

MulChar.apply_ne_zero_iff

∀ {R : Type u_1} [inst : CommMonoid R] {R' : Type u_2} [inst_1 : CommMonoidWithZero R'] [Nontrivial R']
  {χ : MulChar R R'} {a : R}, χ a ≠ 0 ↔ IsUnit a

Defined in

Mathlib.NumberTheory.MulChar.Basic

Cited by

2 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidCommMonoidWithZeroNontrivial