diff --git a/docs/allocate_proxy.md b/docs/allocate_proxy.md
index ec38e768..b4c746f2 100644
--- a/docs/allocate_proxy.md
+++ b/docs/allocate_proxy.md
@@ -1,6 +1,6 @@
 # Function template `allocate_proxy`
 
-The definition of `allocate_proxy` makes use of an exposition-only class template *allocated-ptr*. An object of type `allocated-ptr<T, Alloc>` allocates the storage for another object of type `T` with an allocator of type `Alloc` and manages the lifetime of this contained object. Similar with [`std::optional`](https://en.cppreference.com/w/cpp/utility/optional), `allocated-ptr<T, Alloc>` provides `operator*` for accessing the contained object with the same qualifiers, but does not necessarily support the state where the contained object is absent.
+The definition of `allocate_proxy` makes use of an exposition-only class template *allocated-ptr*. An object of type `allocated-ptr<T, Alloc>` allocates the storage for another object of type `T` with an allocator of type `Alloc` and manages the lifetime of this contained object. Similar to [`std::optional`](https://en.cppreference.com/w/cpp/utility/optional), `allocated-ptr<T, Alloc>` provides `operator*` for accessing the managed object of type `T` with the same qualifiers, but does not necessarily support the state where the contained object is absent.
 
 ```cpp
 // (1)
@@ -16,11 +16,11 @@ template <facade F, class Alloc, class T>
 proxy<F> allocate_proxy(const Alloc& alloc, T&& value);  // freestanding-deleted
 ```
 
-`(1)` Creates a `proxy<F>` object containing an `allocated-ptr<T, Alloc>` direct-non-list-initialized with `std::forward<Args>(args)...`.
+`(1)` Creates a `proxy<F>` object containing a value `p` of type `allocated-ptr<T, Alloc>`, where `*p` is direct-non-list-initialized with `std::forward<Args>(args)...`.
 
-`(2)` Creates a `proxy<F>` object containing an `allocated-ptr<T, Alloc>` direct-non-list-initialized with `il, std::forward<Args>(args)...`.
+`(2)` Creates a `proxy<F>` object containing a value `p` of type `allocated-ptr<T, Alloc>`, where `*p` is direct-non-list-initialized with `il, std::forward<Args>(args)...`.
 
-`(3)` Creates a `proxy<F>` object containing an `allocated-ptr<std::decay_t<T>, Alloc>` direct-non-list-initialized with `std::forward<T>(value)`.
+`(3)` Creates a `proxy<F>` object containing a value `p` of type `allocated-ptr<std::decay_t<T>, Alloc>`, where `*p` is direct-non-list-initialized with `std::forward<T>(value)`.
 
 ## Return Value
 
@@ -30,6 +30,10 @@ The constructed `proxy` object.
 
 Throws any exception thrown by allocation or the constructor of `T`.
 
+## Notes
+
+The implementation of `allocated-ptr` may vary depending on the definition of `F`. Specifically, when `F::constraints.max_size` and `F::constraints.max_align` are not large enough to hold both a pointer to the allocated memory and a copy of the allocator, `allocated-ptr` shall allocate additional storage for the allocator.
+
 ## Example
 
 ```cpp
diff --git a/docs/make_proxy_inplace.md b/docs/make_proxy_inplace.md
index 4d175627..1110a890 100644
--- a/docs/make_proxy_inplace.md
+++ b/docs/make_proxy_inplace.md
@@ -21,11 +21,11 @@ proxy<F> make_proxy_inplace(T&& value)
     requires(inplace_proxiable_target<std::decay_t<T>, F>);
 ```
 
-`(1)` Creates a `proxy<F>` object containing a `sbo-ptr<T>` direct-non-list-initialized with `std::forward<Args>(args)...`.
+`(1)` Creates a `proxy<F>` object containing a value `p` of type `sbo-ptr<T>`, where `*p` is direct-non-list-initialized with `std::forward<Args>(args)...`.
 
-`(2)` Creates a `proxy<F>` object containing a `sbo-ptr<T>` direct-non-list-initialized with `il, std::forward<Args>(args)...`.
+`(2)` Creates a `proxy<F>` object containing a value `p` of type `sbo-ptr<T>`, where `*p` is direct-non-list-initialized with `il, std::forward<Args>(args)...`.
 
-`(3)` Creates a `proxy<F>` object containing a `sbo-ptr<std::decay_t<T>>` direct-non-list-initialized with `std::forward<T>(value)`.
+`(3)` Creates a `proxy<F>` object containing a value `p` of type `sbo-ptr<std::decay_t<T>>`, where `*p` is direct-non-list-initialized with `std::forward<T>(value)`.
 
 ## Return Value
 
