Theorems · Theorem · category theory

CategoryTheory.Functor.toPrefunctor_injective

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F G : CategoryTheory.Functor C D}, F.toPrefunctor = G.toPrefunctor → F = G

Defined in

Mathlib.CategoryTheory.Functor.Basic

Cited by

1 results in Mathlib

Foundations

Depth 12 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Category