Theorems · Theorem · group theory
MonoidHom.comp_assoc
∀ {M : Type u_4} {N : Type u_5} {P : Type u_6} {Q : Type u_10} [inst : MulOne M] [inst_1 : MulOne N] [inst_2 : MulOne P]
[inst_3 : MulOne 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
- 4 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.
- MonoidHomstatement and proof · cited by 3,629
- MonoidHom.compstatement · cited by 469
- MulOnestatement and proof · cited by 65
Cited by4
Results whose statement or proof uses this declaration.
- Monoid.PushoutI.hom_ext_nonemptyproof · cited by 1
- Submonoid.LocalizationMap.lift_comp_liftproof · cited by 1
- IsMulIndecomposable.image_baseOf_inv_comp_eqproof · cited by 1
- Monoid.Coprod.comp_liftproof · cited by 0