Theorems · Definition · category theory

CategoryTheory.InducedCategory.isoMk

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v, u₂} D] →
      {F : C → D} → {X Y : CategoryTheory.InducedCategory D F} → (F X ≅ F Y) → (X ≅ Y)

Construct an isomorphism in the induced category from an isomorphism in the original category.

Defined in

Mathlib.CategoryTheory.InducedCategory

Cited by

3 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext

Assumes

CategoryTheory.Category