Theorems · Theorem · group theory

MulActionHom.comp_apply

∀ {M : Type u_2} {N : Type u_3} {P : Type u_4} {φ : M → N} {ψ : N → P} {χ : M → P} {X : Type u_5} [inst : SMul M X]
  {Y : Type u_6} [inst_1 : SMul N Y] {Z : Type u_7} [inst_2 : SMul P Z] (g : Y →ₑ[ψ] Z) (f : X →ₑ[φ] Y)
  [inst_3 : CompTriple φ ψ χ] (x : X), (g.comp f) x = g (f x)

Defined in

Mathlib.GroupTheory.GroupAction.Hom

Cited by

2 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms

Assumes

SMulSMulSMulCompTriple