Theorems · Theorem · number theory
Nat.prod_primeFactors_invOn_squarefree
Set.InvOn (fun n => n.factorization.support) (fun s => ∏ p ∈ s, p) {s | ∀ p ∈ s, Nat.Prime p} {n | Squarefree n}- Defined in
- Mathlib.Data.Nat.Squarefree
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Set.ofPredstatement · cited by 6,101
- Finset.prodstatement · cited by 2,356
- Nat.Primestatement · cited by 2,059
- Finsupp.supportstatement · cited by 828
- Nat.factorizationstatement · cited by 215
- Squarefreestatement · cited by 112
- Set.InvOnstatement · cited by 26
- Nat.prod_primeFactors_of_squarefreeproof · cited by 7
- Nat.primeFactors_prodproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Nat.grahamConjecture_of_squarefreeproof · cited by 0