Theorems · Theorem · number theory
ArithmeticFunction.carmichael_finset_prod
Deprecated since 2026-04-08Use ArithmeticFunction.carmichael_finsetProd instead.
∀ {α : Type u_2} {s : Finset α} {f : α → ℕ},
(↑s).Pairwise (Function.onFun Nat.Coprime f) →
ArithmeticFunction.carmichael (s.prod f) = s.lcm (⇑ArithmeticFunction.carmichael ∘ f)Alias of ArithmeticFunction.carmichael_finsetProd.
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- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Finset.prodstatement · cited by 2,356
- Function.onFunstatement · cited by 570
- Set.Pairwisestatement · cited by 321
- ArithmeticFunctionstatement · cited by 290
- Finset.lcmstatement · cited by 37
- ArithmeticFunction.carmichaelstatement · cited by 16
- ArithmeticFunction.carmichael_finsetProdproof · cited by 2
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