Theorems · Definition · ring theory
AddMonoidHom.toIntLinearMap
{M : Type u_8} → {M₂ : Type u_10} → [inst : AddCommGroup M] → [inst_1 : AddCommGroup M₂] → (M →+ M₂) → M →ₗ[ℤ] M₂Reinterpret an additive homomorphism as a ℤ-linear map.
- Defined in
- Mathlib.Algebra.Module.LinearMap.Defs
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext
- Assumes
- AddCommGroupAddCommGroup
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.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- AddMonoidHomstatement and proof · cited by 3,230
Cited by25
Results whose statement or proof uses this declaration.
- NumberField.Units.unitLatticeproof · cited by 21
- Ideal.absNorm_span_singletonproof · cited by 18
- NumberField.Units.logEmbeddingEquivproof · cited by 4
- addMonoidHomLequivIntproof · cited by 4
- groupHomology.H1ToTensorOfIsTrivialproof · cited by 3
- groupHomology.mkH1OfIsTrivialproof · cited by 3
- CharacterModule.ofSpanSingletonproof · cited by 2
- ModN.basisproof · cited by 2
- Submodule.natAbs_det_equivstatement · cited by 2
- Ideal.natAbs_det_equivstatement · cited by 1
- CharacterModule.eq_zero_of_ofSpanSingleton_apply_selfproof · cited by 1
- AddCommGrpCat.isColimit_iff_bijective_descproof · cited by 1