Theorems · Theorem · group theory

CategoryTheory.Subgroupoid.isNormal_map

∀ {C : Type u} [inst : CategoryTheory.Groupoid C] (S : CategoryTheory.Subgroupoid C) {D : Type u_1}
  [inst_1 : CategoryTheory.Groupoid D] (φ : CategoryTheory.Functor C D) (hφ : Function.Injective φ.obj),
  CategoryTheory.Subgroupoid.im φ hφ = ⊤ → S.IsNormal → (CategoryTheory.Subgroupoid.map φ hφ S).IsNormal

Defined in

Mathlib.CategoryTheory.Groupoid.Subgroupoid

Cited by

0 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.GroupoidCategoryTheory.Groupoid