Theorems · Definition · group theory

MulActionHom.comp

{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] → (Y →ₑ[ψ] Z) → (X →ₑ[φ] Y) → [κ : CompTriple φ ψ χ] → X →ₑ[χ] Z

Composition of two equivariant maps.

Defined in

Mathlib.GroupTheory.GroupAction.Hom

Cited by

12 results in Mathlib

Foundations

Depth 12 from the axioms · uses no axioms

Assumes

SMulSMulSMulCompTriple