Theorems · Theorem · category theory
CategoryTheory.Functor.preservesInjectiveObjects_of_adjunction_of_preservesMonomorphisms
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C} (adj : F ⊣ G) [F.PreservesMonomorphisms],
G.PreservesInjectiveObjects- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Adjunctionstatement and proof · cited by 524
- CategoryTheory.Injectiveproof · cited by 70
- CategoryTheory.Functor.PreservesMonomorphismsstatement and proof · cited by 41
- CategoryTheory.Functor.PreservesInjectiveObjectsstatement · cited by 7
- CategoryTheory.Adjunction.map_injectiveproof · cited by 2
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