diff --git a/docs/src/manual.md b/docs/src/manual.md
index 127059d..ef1ed02 100644
--- a/docs/src/manual.md
+++ b/docs/src/manual.md
@@ -146,10 +146,10 @@ Dualization.jl can automatically dualize models with custom sets.
 To do this, the user needs to define the set and its dual set and provide the
 functions:
 
-* [`Dualization.supported_constraint`](@ref)
+* `MathOptInterface.dual_set_type`
 * `MathOptInterface.dual_set`
 
-If the custom set has some special scalar product (see the [link](https://jump.dev/MathOptInterface.jl/stable/apireference/#MathOptInterface.AbstractSymmetricMatrixSetTriangle)),
+If the custom set has some special scalar product (see the [link](https://jump.dev/MathOptInterface.jl/stable/reference/standard_form/#MathOptInterface.AbstractSymmetricMatrixSetTriangle)),
 the user also needs to provide the `MathOptInterface.Utilities.set_dot` function.
 
 For example, let us define a fake cone and its dual, the fake dual cone. We will
@@ -173,19 +173,8 @@ print(model)
 Now in order to dualize we must overload the methods as described above.
 
 ```@repl repl_example_new_set
+MOI.dual_set_type(::Type{FakeCone}) = FakeDualCone
 MOI.dual_set(s::FakeCone) = FakeDualCone(MOI.dimension(s))
-function Dualization.supported_constraint(
-    ::Type{MOI.VectorOfVariables},
-    ::Type{FakeCone},
-)
-    return true
-end
-function Dualization.supported_constraint(
-    ::Type{<:MOI.VectorAffineFunction},
-    ::Type{FakeCone},
-)
-    return true
-end
 ```
 
 If your set has some specific scalar product you also need to define a new