Theorems · Theorem · group theory
WithOne.mapMulHom_comp
∀ {α : Type u} {β : Type v} {γ : Type w} [inst : Mul α] [inst_1 : Mul β] [inst_2 : Mul γ] (f : α →ₙ* β) (g : β →ₙ* γ),
WithOne.mapMulHom (g.comp f) = (WithOne.mapMulHom g).comp (WithOne.mapMulHom f)- Defined in
- Mathlib.Algebra.Group.WithOne.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- MonoidHom.compstatement · cited by 469
- MulHomstatement and proof · cited by 299
- MonoidHom.extproof · cited by 109
- WithOnestatement and proof · cited by 49
- MulHom.compstatement · cited by 44
- WithOne.mapMulHomstatement · cited by 9
- WithOne.mapMulHom_mapMulHomproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MulEquiv.withOneCongr_transproof · cited by 0