diff --git a/library/core/src/intrinsics.rs b/library/core/src/intrinsics.rs
index 69ad4f415196c..38e858626b94b 100644
--- a/library/core/src/intrinsics.rs
+++ b/library/core/src/intrinsics.rs
@@ -3138,7 +3138,7 @@ pub const fn ptr_metadata<P: ptr::Pointee<Metadata = M> + ?Sized, M>(_ptr: *cons
 /// [violate memory safety][read-ownership].
 ///
 /// Note that even if the effectively copied size (`count * size_of::<T>()`) is
-/// `0`, the pointers must be non-null and properly aligned.
+/// `0`, the pointers must be properly aligned.
 ///
 /// [`read`]: crate::ptr::read
 /// [read-ownership]: crate::ptr::read#ownership-of-the-returned-value
@@ -3261,7 +3261,7 @@ pub const unsafe fn copy_nonoverlapping<T>(src: *const T, dst: *mut T, count: us
 /// [violate memory safety][read-ownership].
 ///
 /// Note that even if the effectively copied size (`count * size_of::<T>()`) is
-/// `0`, the pointers must be non-null and properly aligned.
+/// `0`, the pointers must be properly aligned.
 ///
 /// [`read`]: crate::ptr::read
 /// [read-ownership]: crate::ptr::read#ownership-of-the-returned-value
@@ -3342,7 +3342,7 @@ pub const unsafe fn copy<T>(src: *const T, dst: *mut T, count: usize) {
 /// * `dst` must be properly aligned.
 ///
 /// Note that even if the effectively copied size (`count * size_of::<T>()`) is
-/// `0`, the pointer must be non-null and properly aligned.
+/// `0`, the pointer must be properly aligned.
 ///
 /// Additionally, note that changing `*dst` in this way can easily lead to undefined behavior (UB)
 /// later if the written bytes are not a valid representation of some `T`. For instance, the
diff --git a/library/core/src/primitive_docs.rs b/library/core/src/primitive_docs.rs
index 89936dc12ac36..22fd47b05962b 100644
--- a/library/core/src/primitive_docs.rs
+++ b/library/core/src/primitive_docs.rs
@@ -505,9 +505,11 @@ impl () {}
 ///
 /// *[See also the `std::ptr` module](ptr).*
 ///
-/// Working with raw pointers in Rust is uncommon, typically limited to a few patterns.
-/// Raw pointers can be unaligned or [`null`]. However, when a raw pointer is
-/// dereferenced (using the `*` operator), it must be non-null and aligned.
+/// Working with raw pointers in Rust is uncommon, typically limited to a few patterns. Raw pointers
+/// can be out-of-bounds, unaligned, or [`null`]. However, when loading from or storing to a raw
+/// pointer, it must be [valid] for the given access and aligned. When using a field expression,
+/// tuple index expression, or array/slice index expression on a raw pointer, it follows the rules
+/// of [in-bounds pointer arithmetic][`offset`].
 ///
 /// Storing through a raw pointer using `*ptr = data` calls `drop` on the old value, so
 /// [`write`] must be used if the type has drop glue and memory is not already
@@ -613,6 +615,7 @@ impl () {}
 /// [`offset`]: pointer::offset
 /// [`into_raw`]: ../std/boxed/struct.Box.html#method.into_raw
 /// [`write`]: ptr::write
+/// [valid]: ptr#safety
 #[stable(feature = "rust1", since = "1.0.0")]
 mod prim_pointer {}
 
diff --git a/library/core/src/ptr/mod.rs b/library/core/src/ptr/mod.rs
index 09ff7f8cab173..f7036f30a99ec 100644
--- a/library/core/src/ptr/mod.rs
+++ b/library/core/src/ptr/mod.rs
@@ -1024,7 +1024,7 @@ pub const fn slice_from_raw_parts_mut<T>(data: *mut T, len: usize) -> *mut [T] {
 ///
 /// * Both `x` and `y` must be properly aligned.
 ///
-/// Note that even if `T` has size `0`, the pointers must be non-null and properly aligned.
+/// Note that even if `T` has size `0`, the pointers must be properly aligned.
 ///
 /// [valid]: self#safety
 ///
@@ -1110,7 +1110,7 @@ pub const unsafe fn swap<T>(x: *mut T, y: *mut T) {
 ///   beginning at `y` with the same size.
 ///
 /// Note that even if the effectively copied size (`count * size_of::<T>()`) is `0`,
-/// the pointers must be non-null and properly aligned.
+/// the pointers must be properly aligned.
 ///
 /// [valid]: self#safety
 ///
@@ -1243,7 +1243,7 @@ const unsafe fn swap_nonoverlapping_simple_untyped<T>(x: *mut T, y: *mut T, coun
 ///
 /// * `dst` must point to a properly initialized value of type `T`.
 ///
-/// Note that even if `T` has size `0`, the pointer must be non-null and properly aligned.
+/// Note that even if `T` has size `0`, the pointer must be properly aligned.
 ///
 /// [valid]: self#safety
 ///
@@ -1300,7 +1300,7 @@ pub const unsafe fn replace<T>(dst: *mut T, src: T) -> T {
 ///
 /// * `src` must point to a properly initialized value of type `T`.
 ///
-/// Note that even if `T` has size `0`, the pointer must be non-null and properly aligned.
+/// Note that even if `T` has size `0`, the pointer must be properly aligned.
 ///
 /// # Examples
 ///
@@ -1555,7 +1555,7 @@ pub const unsafe fn read_unaligned<T>(src: *const T) -> T {
 /// * `dst` must be properly aligned. Use [`write_unaligned`] if this is not the
 ///   case.
 ///
-/// Note that even if `T` has size `0`, the pointer must be non-null and properly aligned.
+/// Note that even if `T` has size `0`, the pointer must be properly aligned.
 ///
 /// [valid]: self#safety
 ///
@@ -1774,7 +1774,7 @@ pub const unsafe fn write_unaligned<T>(dst: *mut T, src: T) {
 /// However, storing non-[`Copy`] types in volatile memory is almost certainly
 /// incorrect.
 ///
-/// Note that even if `T` has size `0`, the pointer must be non-null and properly aligned.
+/// Note that even if `T` has size `0`, the pointer must be properly aligned.
 ///
 /// [valid]: self#safety
 /// [read-ownership]: read#ownership-of-the-returned-value
@@ -1853,7 +1853,7 @@ pub unsafe fn read_volatile<T>(src: *const T) -> T {
 ///
 /// * `dst` must be properly aligned.
 ///
-/// Note that even if `T` has size `0`, the pointer must be non-null and properly aligned.
+/// Note that even if `T` has size `0`, the pointer must be properly aligned.
 ///
 /// [valid]: self#safety
 ///