 The same is true for left adjoints.Conversely, if "F" is left adjoint to "G", and "G" is naturally isomorphic to "G"′ then "F" is also left adjoint to "G"′.More generally, if 〈"F", "G", ε, η〉 is an adjunction (with counit–unit (ε,η)) and
are natural isomorphisms then 〈"F"′, "G"′, ε′, η′〉 is an adjunction where
Here formula_185 denotes vertical composition of natural transformations, and formula_186 denotes horizontal composition.