Theorems · Theorem · commutative algebra
CommGroupWithZero.coe_normUnit
∀ (G₀ : Type u_2) [inst : CommGroupWithZero G₀] [inst_1 : DecidableEq G₀] {a : G₀}, a ≠ 0 → ↑(normUnit a) = a⁻¹- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroupWithZeroDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Units.valstatement and proof · cited by 1,966
- Units.mk0proof · cited by 181
- CommGroupWithZerostatement and proof · cited by 94
- Units.val_inv_eq_inv_valproof · cited by 57
- NormalizationMonoid.normUnitstatement · cited by 33
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.coe_normUnit_of_ne_zeroproof · cited by 1
- CommGroupWithZero.normalize_eq_oneproof · cited by 0
- Polynomial.leadingCoeff_mul_prod_normalizedFactorsproof · cited by 0