Theorems · Theorem · category theory
CategoryTheory.Functor.isLeftAdjoint_of_iso
∀ {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} (h : F ≅ G) [F.IsLeftAdjoint], G.IsLeftAdjointTransport being a left adjoint along a natural isomorphism.
- Defined in
- Mathlib.CategoryTheory.Adjunction.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Functor.IsLeftAdjointstatement and proof · cited by 28
- CategoryTheory.Adjunction.ofNatIsoLeftproof · cited by 10
- CategoryTheory.Adjunction.ofIsLeftAdjointproof · cited by 9
- CategoryTheory.Functor.rightAdjointproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.isLeftAdjoint_comp_iff_leftproof · cited by 0
- CategoryTheory.Functor.isLeftAdjoint_comp_iff_rightproof · cited by 0