Theorems · Theorem · commutative algebra
normalize_one
∀ {α : Type u_1} [inst : MonoidWithZero α] [inst_1 : NormalizationMonoid α], normalize 1 = 1- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- Units.valproof · cited by 1,966
- MonoidWithZerostatement and proof · cited by 456
- NormalizationMonoidstatement and proof · cited by 165
- normalizestatement · cited by 137
- NormalizationMonoid.normUnit_oneproof · cited by 4
Cited by10
Results whose statement or proof uses this declaration.
- gcd_one_rightproof · cited by 5
- Multiset.lcm_addproof · cited by 3
- gcd_one_leftproof · cited by 2
- Multiset.normalize_lcmproof · cited by 2
- Polynomial.content_oneproof · cited by 2
- RatFunc.num_oneproof · cited by 2
- RatFunc.denom_oneproof · cited by 2
- Finset.extract_gcdproof · cited by 1
- Multiset.extract_gcdproof · cited by 0
- Associates.out_oneproof · cited by 0