Theorems · Theorem · commutative algebra
normalize_coe_units
∀ {α : Type u_1} [inst : MonoidWithZero α] [inst_1 : NormalizationMonoid α] (u : αˣ), normalize ↑u = 1- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- MonoidWithZerostatement and proof · cited by 456
- NormalizationMonoidstatement and proof · cited by 165
- normalizestatement · cited by 137
- Units.mul_invproof · cited by 67
- normUnit_coe_unitsproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- normalize_eq_oneproof · cited by 10
- lcm_eq_one_iffproof · cited by 0