Theorems · Theorem · number theory
Nat.primeFactors_lcmUpto
∀ (n : ℕ), n.lcmUpto.primeFactors = n.primesLE
- Defined in
- Mathlib.NumberTheory.Chebyshev
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Nat.Primeproof · cited by 2,059
- Finset.extproof · cited by 565
- Nat.primeFactorsstatement and proof · cited by 129
- Finsupp.mem_support_iffproof · cited by 89
- Finset.mem_Iccproof · cited by 39
- Nat.primesLEstatement and proof · cited by 30
- Nat.prime_of_mem_primeFactorsproof · cited by 29
- Nat.lcmUptostatement and proof · cited by 13
- Nat.Prime.one_leproof · cited by 12
- Finset.dvd_lcmproof · cited by 10
- Nat.prime_of_mem_primesLEproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Nat.lcmUpto_eq_prodproof · cited by 1
- Nat.primorial_dvd_lcmUptoproof · cited by 0