Theorems · Theorem · category theory

CategoryTheory.IsMonHom.Normal.exists_comp_eq_conj

∀ {C : Type u_1} {inst : CategoryTheory.Category.{v_1, u_1} C} {inst_1 : CategoryTheory.CartesianMonoidalCategory C}
  {G H : C} {inst_2 : CategoryTheory.GrpObj G} {inst_3 : CategoryTheory.GrpObj H} (φ : H ⟶ G)
  [self : CategoryTheory.IsMonHom.Normal φ],
  ∃ ψ,
    CategoryTheory.CategoryStruct.comp ψ φ =
      CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft G φ)
        (CategoryTheory.GrpObj.conj G)

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Normal

Cited by

1 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.IsMonHom.Normal