Theorems · Theorem · category theory
CategoryTheory.Injective.injective_of_adjoint
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{L : CategoryTheory.Functor C D} {R : CategoryTheory.Functor D C} [L.PreservesMonomorphisms] (adj : L ⊣ R) (J : D)
[CategoryTheory.Injective J], CategoryTheory.Injective (R.obj J)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CategoryTheory.Functor.map_compproof · cited by 734
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