Theorems · Theorem · number theory
ArithmeticFunction.IsMultiplicative.intCast
∀ {R : Type u_1} {f : ArithmeticFunction ℤ} [inst : Ring R], f.IsMultiplicative → (↑f).IsMultiplicative- Cited by
- 1 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
- Assumes
- Ring
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
- Ringstatement and proof · cited by 7,463
- Int.cast_oneproof · cited by 371
- ArithmeticFunctionstatement and proof · cited by 290
- Int.cast_mulproof · cited by 113
- ArithmeticFunction.IsMultiplicativestatement and proof · cited by 45
- ArithmeticFunction.ofIntstatement · cited by 14
- ArithmeticFunction.IsMultiplicative.map_oneproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.