Theorems · Theorem · number theory
ArithmeticFunction.isMultiplicative_one
∀ {R : Type u_1} [inst : MonoidWithZero R], ArithmeticFunction.IsMultiplicative 1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- one_mulproof · cited by 2,841
- MulZeroClass.zero_mulproof · cited by 1,625
- MonoidWithZerostatement and proof · cited by 456
- ArithmeticFunctionstatement · cited by 290
- ArithmeticFunction.IsMultiplicativestatement · cited by 45
- ArithmeticFunction.one_apply_neproof · cited by 6
- ArithmeticFunction.IsMultiplicative.iff_ne_zeroproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- ArithmeticFunction.moebius_mul_coe_zetaproof · cited by 4
- ArithmeticFunction.isMultiplicative_eulerProductproof · cited by 0