Theorems · Theorem · number theory
Nat.support_factorization
∀ (n : ℕ), n.factorization.support = n.primeFactors
The support of n.factorization is exactly n.primeFactors.
- Defined in
- Mathlib.Data.Nat.Factorization.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finsupp.supportstatement · cited by 828
- Nat.factorizationstatement · cited by 215
- Nat.primeFactorsstatement · cited by 129
Cited by4
Results whose statement or proof uses this declaration.
- Nat.primeFactors_lcmUptoproof · cited by 2
- Nat.sum_divisorsproof · cited by 0
- Nat.card_divisorsproof · cited by 0