Theorems · Theorem · group theory
AddMonoidHom.comp_assoc
∀ {M : Type u_4} {N : Type u_5} {P : Type u_6} {Q : Type u_10} [inst : AddZero M] [inst_1 : AddZero N]
[inst_2 : AddZero P] [inst_3 : AddZero Q] (f : M →+ N) (g : N →+ P) (h : P →+ Q),
(h.comp g).comp f = h.comp (g.comp f)- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 5 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidHom.compstatement · cited by 339
- AddZerostatement and proof · cited by 87
Cited by5
Results whose statement or proof uses this declaration.
- DFinsupp.comp_liftAddHomproof · cited by 4
- IsAddIndecomposable.image_baseOf_neg_comp_eqproof · cited by 1
- AddSubmonoid.LocalizationMap.lift_comp_liftproof · cited by 1
- AddMonoid.Coprod.comp_liftproof · cited by 0
- Finsupp.comp_liftAddHomproof · cited by 0