Theorems · Theorem · number theory
Nat.factorizationLCMLeft_mul_factorizationLCMRight
∀ {a b : ℕ}, a ≠ 0 → b ≠ 0 → a.factorizationLCMLeft b * a.factorizationLCMRight b = a.lcm b- Defined in
- Mathlib.Data.Nat.Factorization.LCM
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppproof · cited by 5,255
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- CommMonoidproof · cited by 2,264
- Finsupp.prodproof · cited by 231
- Nat.factorizationproof · cited by 215
- Nat.prod_factorization_pow_eq_selfproof · cited by 22
- Nat.factorizationLCMLeftstatement and proof · cited by 15
- Nat.factorizationLCMRightstatement and proof · cited by 15
- Finsupp.prod_mulproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Commute.orderOf_mul_pow_eq_lcmproof · cited by 2
- AddCommute.addOrderOf_add_nsmul_eq_lcmproof · cited by 1