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Theorems · Theorem · category theory

CategoryTheory.Functor.IsRightAdjoint.exists_leftAdjoint

∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {D : Type u₂} {inst_1 : CategoryTheory.Category.{v₂, u₂} D}
  {right : CategoryTheory.Functor D C} [self : right.IsRightAdjoint], ∃ left, Nonempty (left ⊣ right)
Defined in
Mathlib.CategoryTheory.Adjunction.Basic
Cited by
0 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.Functor.IsRightAdjoint
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CategoryTheory.Functor.leftAdjoint · cited by 6Functor.leftAdjointCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Adjunction · cited by 524CategoryTheory.AdjunctionCategoryTheory.Functor.IsRightAdjoint · cited by 46Functor.IsRightAdjointIsRightAdjoint.exists_leftAdj…CITED BYCITES

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