Theorems · Theorem · group theory
MonoidHom.comp_apply
∀ {M : Type u_4} {N : Type u_5} {P : Type u_6} [inst : MulOne M] [inst_1 : MulOne N] [inst_2 : MulOne P] (g : N →* P)
(f : M →* N) (x : M), (g.comp f) x = g (f x)- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement and proof · cited by 3,629
- MonoidHom.compstatement · cited by 469
- MulOnestatement and proof · cited by 65
Cited by16
Results whose statement or proof uses this declaration.
- DirichletCharacter.factorsThrough_iff_ker_unitsMapproof · cited by 4
- Monoid.PushoutI.of_apply_eq_baseproof · cited by 3
- ClassGroup.mk_mk0proof · cited by 3
- Submonoid.LocalizationMap.lift_of_compproof · cited by 3
- Monoid.CoprodI.ext_homproof · cited by 2
- Equiv.Perm.OnCycleFactors.sign_kerParam_apply_applyproof · cited by 2
- ClassGroup.mk_canonicalEquivproof · cited by 1
- Submonoid.LocalizationMap.lift_comp_liftproof · cited by 1
- CommRing.Pic.mapAlgebra_comp_mapAlgebraproof · cited by 1
- ClassGroup.equiv_mk0proof · cited by 1
- DirichletCharacter.FactorsThrough.monoproof · cited by 1
- MonoidHom.CompTriple.comp_applyproof · cited by 0