Theorems · Definition · group theory
MonoidHom.comp
{M : Type u_4} →
{N : Type u_5} →
{P : Type u_6} → [inst : MulOne M] → [inst_1 : MulOne N] → [inst_2 : MulOne P] → (N →* P) → (M →* N) → M →* PComposition of monoid morphisms as a monoid morphism.
- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 469 results in Mathlib
- Foundations
- Depth 13 from the axioms, rests on 38 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MonoidHomstatement and proof · cited by 3,629
- MulOnestatement and proof · cited by 65
Cited by634
Results whose statement or proof uses this declaration.
- Algebra.normproof · cited by 155
- Matrix.SpecialLinearGroup.mapGLproof · cited by 98
- MonoidHom.domRestrictproof · cited by 59
- LinearEquiv.detproof · cited by 51
- WithZero.map'proof · cited by 45
- DirichletCharacter.changeLevelproof · cited by 29
- Rep.resFunctorproof · cited by 29
- Monoid.Coprod.swapproof · cited by 25
- Rep.resMapstatement · cited by 23
- ClassGroup.mkproof · cited by 22
- ClassGroup.mk0proof · cited by 22
- Monoid.CoprodI.liftproof · cited by 21
Showing the 200 most cited of 634.