Theorems · Theorem · commutative algebra
zmultiplesHom_apply
∀ (β : Type u_4) [inst : AddGroup β] (x : β) (n : ℤ), ((zmultiplesHom β) x) n = n • x
- Defined in
- Mathlib.Data.Int.Cast.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement · cited by 3,230
- zmultiplesHomstatement · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidHom.apply_intproof · cited by 0