Theorems · Theorem · category theory

CategoryTheory.Limits.hasFiniteLimits_of_hasLimitsLimits_of_createsFiniteLimits

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor C D) [CategoryTheory.Limits.HasFiniteLimits D]
  [CategoryTheory.Limits.CreatesFiniteLimits F], CategoryTheory.Limits.HasFiniteLimits C

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Creates.Finite

Cited by

0 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasFiniteLimitsCategoryTheory.Limits.CreatesFiniteLimits