Theorems · Definition · commutative algebra
Module.compHom
{R : Type u_1} →
{S : Type u_2} →
(M : Type u_3) →
[inst : Semiring R] → [inst_1 : AddCommMonoid M] → [Module R M] → [inst_3 : Semiring S] → (S →+* R) → Module S MCompose a Module with a RingHom, with action f s • m.
See note [reducible non-instances].
- Defined in
- Mathlib.Algebra.Module.RingHom
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- RingHomstatement and proof · cited by 10,189
- DistribMulActionproof · cited by 584
- MonoidHomClass.toMonoidHomproof · cited by 294
- MulActionWithZeroproof · cited by 79
- RingHom.toMonoidWithZeroHomproof · cited by 24
- DistribMulAction.compHomproof · cited by 0
- MulActionWithZero.compHomproof · cited by 0
Cited by52
Results whose statement or proof uses this declaration.
- Algebra.compHomproof · cited by 10
- Module.compHom.toLinearEquivstatement · cited by 6
- RingHom.toModuleproof · cited by 5
- ZLattice.rankproof · cited by 5
- KaehlerDifferential.moduleBaseChange'proof · cited by 4
- Module.restrictScalarsproof · cited by 3
- Module.compHom.toLinearEquiv_symm_applystatement · cited by 3
- Module.Basis.mapCoeffs_reprstatement · cited by 3
- RootPairing.linearIndepOn_root_baseOfproof · cited by 3
- AlgebraicGeometry.StructureSheaf.Localizations.comapFun_mkproof · cited by 3
- ModuleCat.extendScalarsComp_hom_app_one_tmulstatement · cited by 3
- IsBaseChange.compproof · cited by 2