diff --git a/docs/src/manual/standard_form.md b/docs/src/manual/standard_form.md
index 5cb28941bc..2ec0bc2802 100644
--- a/docs/src/manual/standard_form.md
+++ b/docs/src/manual/standard_form.md
@@ -60,6 +60,7 @@ The one-dimensional set types implemented in MathOptInterface.jl are:
 | [`ZeroOne()`](@ref)            | ``\{ 0, 1 \}``                         |
 | [`Semicontinuous(l, u)`](@ref) | ``\{ 0\} \cup [l, u]``                 |
 | [`Semiinteger(l, u)`](@ref)    | ``\{ 0\} \cup \{l,l+1,\ldots,u-1,u\}`` |
+| [`LazyScalarSet(set)`](@ref)    | ``set``                               |
 
 ## Vector cones
 
diff --git a/docs/src/reference/standard_form.md b/docs/src/reference/standard_form.md
index d78681869e..567bb58d49 100644
--- a/docs/src/reference/standard_form.md
+++ b/docs/src/reference/standard_form.md
@@ -72,6 +72,7 @@ ZeroOne
 Semicontinuous
 Semiinteger
 Parameter
+LazyScalarSet
 ```
 
 ## Vector sets
diff --git a/src/Bridges/Constraint/Constraint.jl b/src/Bridges/Constraint/Constraint.jl
index f24f3b14b0..bef068a65e 100644
--- a/src/Bridges/Constraint/Constraint.jl
+++ b/src/Bridges/Constraint/Constraint.jl
@@ -72,6 +72,7 @@ function add_all_bridges(model, ::Type{T}) where {T}
     #       It is also really useful only to PATHSolver.jl, which could add this
     #       to MOI.ListOfRequiredBridges.
     MOI.Bridges.add_bridge(model, IntegerToZeroOneBridge{T})
+    MOI.Bridges.add_bridge(model, LazyScalarSetBridge{T})
     MOI.Bridges.add_bridge(model, LessToGreaterBridge{T})
     if T <: AbstractFloat  # See note in docstring of AbstractToIntervalBridge
         MOI.Bridges.add_bridge(model, LessToIntervalBridge{T})
diff --git a/src/Bridges/Constraint/bridges/LazyScalarSetBridge.jl b/src/Bridges/Constraint/bridges/LazyScalarSetBridge.jl
new file mode 100644
index 0000000000..f493e282e9
--- /dev/null
+++ b/src/Bridges/Constraint/bridges/LazyScalarSetBridge.jl
@@ -0,0 +1,80 @@
+# Copyright (c) 2017: Miles Lubin and contributors
+# Copyright (c) 2017: Google Inc.
+#
+# Use of this source code is governed by an MIT-style license that can be found
+# in the LICENSE.md file or at https://opensource.org/licenses/MIT.
+
+"""
+    LazyScalarSetBridge{
+        T,
+        F<:MOI.AbstractScalarFunction,
+        S<:MOI.AbstractScalarSet,
+    }
+
+`LazyScalarSetBridge` implements the following reformulation:
+
+  * ``f \\in LazyScalarSet(s)`` into ``f \\in s``.
+
+## Source node
+
+`LazyScalarSetBridge` supports:
+
+  * `F` in `LazyScalarSet{S}`
+
+## Target nodes
+
+`LazyScalarSetBridge` creates:
+
+  * `F` in `S`
+"""
+struct LazyScalarSetBridge{
+    T,
+    F<:MOI.AbstractScalarFunction,
+    S<:MOI.AbstractScalarSet,
+} <: MOI.Bridges.Constraint.SetMapBridge{T,S,MOI.LazyScalarSet{S},F,F}
+    constraint::MOI.ConstraintIndex{F,S}
+
+    function LazyScalarSetBridge{T,F,S}(
+        constraint::MOI.ConstraintIndex{F,S},
+    ) where {T,F<:MOI.AbstractScalarFunction,S<:MOI.AbstractScalarSet}
+        return new{T,F,S}(constraint)
+    end
+end
+
+MOI.Bridges.map_function(::Type{<:LazyScalarSetBridge}, f) = f
+
+MOI.Bridges.inverse_map_function(::Type{<:LazyScalarSetBridge}, f) = f
+
+MOI.Bridges.adjoint_map_function(::Type{<:LazyScalarSetBridge}, f) = f
+
+MOI.Bridges.inverse_adjoint_map_function(::Type{<:LazyScalarSetBridge}, f) = f
+
+function MOI.Bridges.map_set(
+    ::Type{LazyScalarSetBridge{T,F,S}},
+    set::MOI.LazyScalarSet{S},
+) where {T,F,S}
+    return set.set
+end
+
+function MOI.Bridges.inverse_map_set(
+    ::Type{LazyScalarSetBridge{T,F,S}},
+    set::S,
+) where {T,F,S}
+    return MOI.LazyScalarSet(set)
+end
+
+function MOI.supports_constraint(
+    ::Type{<:LazyScalarSetBridge},
+    ::Type{<:MOI.AbstractScalarFunction},
+    ::Type{<:MOI.LazyScalarSet},
+)
+    return true
+end
+
+function MOI.Bridges.Constraint.concrete_bridge_type(
+    ::Type{<:LazyScalarSetBridge{T}},
+    ::Type{F},
+    ::Type{MOI.LazyScalarSet{S}},
+) where {T,F<:MOI.AbstractScalarFunction,S<:MOI.AbstractScalarSet}
+    return LazyScalarSetBridge{T,F,S}
+end
diff --git a/src/Utilities/sets.jl b/src/Utilities/sets.jl
index 341b9bb1cf..cca6145ce8 100644
--- a/src/Utilities/sets.jl
+++ b/src/Utilities/sets.jl
@@ -90,6 +90,16 @@ end
 
 supports_shift_constant(::Type{<:MOI.Parameter}) = true
 
+function supports_shift_constant(
+    ::Type{MOI.LazyScalarSet{S}},
+) where {S<:MOI.AbstractScalarSet}
+    return supports_shift_constant(S)
+end
+
+function shift_constant(set::MOI.LazyScalarSet, constant)
+    return MOI.LazyScalarSet(shift_constant(set.set, constant))
+end
+
 """
     ScalarLinearSet{T}
 
diff --git a/src/sets.jl b/src/sets.jl
index aaf69260bd..affe319129 100644
--- a/src/sets.jl
+++ b/src/sets.jl
@@ -2866,6 +2866,33 @@ function Base.show(io::IO, s::VectorNonlinearOracle{T}) where {T}
     return
 end
 
+"""
+    LazyScalarSet(set::AbstractScalarSet) <: AbstractScalarSet
+
+A set that wraps an inner `set` with a hint that the constraint can be treated
+lazily by the solver.
+
+## Example
+
+```jldoctest
+julia> model = MOI.Utilities.UniversalFallback(MOI.Utilities.Model{Float64}());
+
+julia> x = MOI.add_variable(model);
+
+julia> MOI.add_constraint(
+           model,
+           1.0 * x,
+           MOI.LazyScalarSet(MOI.GreaterThan(1.0)),
+       )
+MathOptInterface.ConstraintIndex{MathOptInterface.ScalarAffineFunction{Float64}, MathOptInterface.LazyScalarSet{MathOptInterface.GreaterThan{Float64}}}(1)
+```
+"""
+struct LazyScalarSet{S<:AbstractScalarSet} <: AbstractScalarSet
+    set::S
+end
+
+Base.copy(set::LazyScalarSet) = LazyScalarSet(copy(set.set))
+
 # TODO(odow): these are not necessarily isbits. They may not be safe to return
 # without copying if the number is BigFloat, for example.
 function Base.copy(
diff --git a/test/Bridges/Constraint/test_LazyScalarSetBridge.jl b/test/Bridges/Constraint/test_LazyScalarSetBridge.jl
new file mode 100644
index 0000000000..82c1349947
--- /dev/null
+++ b/test/Bridges/Constraint/test_LazyScalarSetBridge.jl
@@ -0,0 +1,41 @@
+# Copyright (c) 2017: Miles Lubin and contributors
+# Copyright (c) 2017: Google Inc.
+#
+# Use of this source code is governed by an MIT-style license that can be found
+# in the LICENSE.md file or at https://opensource.org/licenses/MIT.
+
+module TestConstraintLazyScalarSetBridge
+
+using Test
+
+import MathOptInterface as MOI
+
+function runtests()
+    for name in names(@__MODULE__; all = true)
+        if startswith("$(name)", "test_")
+            @testset "$(name)" begin
+                getfield(@__MODULE__, name)()
+            end
+        end
+    end
+    return
+end
+
+function test_runtests_scalar_affine_function()
+    MOI.Bridges.runtests(
+        MOI.Bridges.Constraint.LazyScalarSetBridge,
+        """
+        variables: x
+        1.0 * x in LazyScalarSet(GreaterThan(0.0))
+        """,
+        """
+        variables: x
+        1.0 * x in GreaterThan(0.0)
+        """,
+    )
+    return
+end
+
+end  # module
+
+TestConstraintLazyScalarSetBridge.runtests()
diff --git a/test/Utilities/test_sets.jl b/test/Utilities/test_sets.jl
index 9c06ce97fe..5a8aa934cc 100644
--- a/test/Utilities/test_sets.jl
+++ b/test/Utilities/test_sets.jl
@@ -257,6 +257,19 @@ function test_set_dot_scaling(n = 10)
     return
 end
 
+function test_lazy_scalar_set()
+    set = MOI.LazyScalarSet(MOI.GreaterThan(1.0))
+    set_2 = copy(set)
+    @test set_2 == set
+    @test MOI.Utilities.supports_shift_constant(typeof(set))
+    set = MOI.Utilities.shift_constant(set, 2.0)
+    @test set_2 != set
+    @test set == MOI.LazyScalarSet(MOI.GreaterThan(3.0))
+    set = MOI.LazyScalarSet(MOI.Integer())
+    @test !MOI.Utilities.supports_shift_constant(typeof(set))
+    return
+end
+
 end  # module
 
 TestUtilitiesSets.runtests()