Theorems · Theorem · commutative algebra
normalize_lcm
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] (a b : α), normalize (lcm a b) = lcm a b- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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.
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- normalizestatement · cited by 137
- GCDMonoid.lcmstatement · cited by 78
- NormalizedGCDMonoid.normalize_lcmproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- lcm_eq_normalizeproof · cited by 4
- lcm_mul_leftproof · cited by 2
- Multiset.normalize_lcmproof · cited by 2
- lcm_assocproof · cited by 2
- lcm_commproof · cited by 2
- lcm_eq_of_associated_leftproof · cited by 1
- lcm_eq_left_iffproof · cited by 1
- lcm_eq_of_associated_rightproof · cited by 0