Theorems · Theorem · number theory
ArithmeticFunction.carmichael_finset_lcm
∀ {α : Type u_2} (s : Finset α) (f : α → ℕ),
ArithmeticFunction.carmichael (s.lcm f) = s.lcm (⇑ArithmeticFunction.carmichael ∘ f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 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.coestatement and proof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- ArithmeticFunctionstatement · cited by 290
- Finset.inductionproof · cited by 108
- GCDMonoid.lcmproof · cited by 78
- Finset.lcmstatement and proof · cited by 37
- ArithmeticFunction.carmichaelstatement and proof · cited by 16
- ArithmeticFunction.carmichael_eq_exponent'proof · cited by 7
- Finset.lcm_insertproof · cited by 5
- ArithmeticFunction.carmichael_lcmproof · cited by 2
- Monoid.exp_eq_one_of_subsingletonproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ArithmeticFunction.carmichael_finsetProdproof · cited by 2