Theorems · Theorem · group theory
MonoidWithZeroHom.comp_apply
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : MulZeroOneClass α] [inst_1 : MulZeroOneClass β]
[inst_2 : MulZeroOneClass γ] (g : β →*₀ γ) (f : α →*₀ β) (x : α), (g.comp f) x = g (f x)- Defined in
- Mathlib.Algebra.GroupWithZero.Hom
- Cited by
- 3 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
- MonoidWithZeroHomstatement and proof · cited by 704
- MulZeroOneClassstatement and proof · cited by 184
- MonoidWithZeroHom.compstatement · cited by 34
Cited by3
Results whose statement or proof uses this declaration.
- MonoidWithZeroHom.snd_inl_apply_of_ne_zeroproof · cited by 0
- MonoidWithZeroHom.fst_inr_apply_of_ne_zeroproof · cited by 0
- MonoidWithZeroHom.cancel_leftproof · cited by 0