diff --git a/library/alloc/src/rc.rs b/library/alloc/src/rc.rs
index 1046397f4be..2f0a374015a 100644
--- a/library/alloc/src/rc.rs
+++ b/library/alloc/src/rc.rs
@@ -376,7 +376,7 @@ impl<T> Rc<T> {
     /// assert_eq!(*zero, 0)
     /// ```
     ///
-    /// [zeroed]: ../../std/mem/union.MaybeUninit.html#method.zeroed
+    /// [zeroed]: mem::MaybeUninit::zeroed
     #[unstable(feature = "new_uninit", issue = "63291")]
     pub fn new_zeroed() -> Rc<mem::MaybeUninit<T>> {
         unsafe {
@@ -484,7 +484,7 @@ impl<T> Rc<[T]> {
     /// assert_eq!(*values, [0, 0, 0])
     /// ```
     ///
-    /// [zeroed]: ../../std/mem/union.MaybeUninit.html#method.zeroed
+    /// [zeroed]: mem::MaybeUninit::zeroed
     #[unstable(feature = "new_uninit", issue = "63291")]
     pub fn new_zeroed_slice(len: usize) -> Rc<[mem::MaybeUninit<T>]> {
         unsafe {
@@ -511,7 +511,7 @@ impl<T> Rc<mem::MaybeUninit<T>> {
     /// Calling this when the content is not yet fully initialized
     /// causes immediate undefined behavior.
     ///
-    /// [`MaybeUninit::assume_init`]: ../../std/mem/union.MaybeUninit.html#method.assume_init
+    /// [`MaybeUninit::assume_init`]: mem::MaybeUninit::assume_init
     ///
     /// # Examples
     ///
@@ -550,7 +550,7 @@ impl<T> Rc<[mem::MaybeUninit<T>]> {
     /// Calling this when the content is not yet fully initialized
     /// causes immediate undefined behavior.
     ///
-    /// [`MaybeUninit::assume_init`]: ../../std/mem/union.MaybeUninit.html#method.assume_init
+    /// [`MaybeUninit::assume_init`]: mem::MaybeUninit::assume_init
     ///
     /// # Examples
     ///
diff --git a/library/alloc/src/sync.rs b/library/alloc/src/sync.rs
index ff07bf52c02..273bb0420a7 100644
--- a/library/alloc/src/sync.rs
+++ b/library/alloc/src/sync.rs
@@ -152,7 +152,7 @@ macro_rules! acquire {
 /// [upgrade]: Weak::upgrade
 /// [`RefCell<T>`]: core::cell::RefCell
 /// [`std::sync`]: ../../std/sync/index.html
-/// [`Arc::clone(&from)`]: #method.clone
+/// [`Arc::clone(&from)`]: Arc::clone
 ///
 /// # Examples
 ///
@@ -201,7 +201,7 @@ macro_rules! acquire {
 /// See the [`rc` documentation][rc_examples] for more examples of reference
 /// counting in general.
 ///
-/// [rc_examples]: ../../std/rc/index.html#examples
+/// [rc_examples]: crate::rc#examples
 #[cfg_attr(not(test), rustc_diagnostic_item = "Arc")]
 #[stable(feature = "rust1", since = "1.0.0")]
 pub struct Arc<T: ?Sized> {
@@ -443,7 +443,7 @@ impl<T> Arc<T> {
     /// assert_eq!(*zero, 0)
     /// ```
     ///
-    /// [zeroed]: ../../std/mem/union.MaybeUninit.html#method.zeroed
+    /// [zeroed]: mem::MaybeUninit::zeroed
     #[unstable(feature = "new_uninit", issue = "63291")]
     pub fn new_zeroed() -> Arc<mem::MaybeUninit<T>> {
         unsafe {
@@ -550,7 +550,7 @@ impl<T> Arc<[T]> {
     /// assert_eq!(*values, [0, 0, 0])
     /// ```
     ///
-    /// [zeroed]: ../../std/mem/union.MaybeUninit.html#method.zeroed
+    /// [zeroed]: mem::MaybeUninit::zeroed
     #[unstable(feature = "new_uninit", issue = "63291")]
     pub fn new_zeroed_slice(len: usize) -> Arc<[mem::MaybeUninit<T>]> {
         unsafe {
@@ -577,7 +577,7 @@ impl<T> Arc<mem::MaybeUninit<T>> {
     /// Calling this when the content is not yet fully initialized
     /// causes immediate undefined behavior.
     ///
-    /// [`MaybeUninit::assume_init`]: ../../std/mem/union.MaybeUninit.html#method.assume_init
+    /// [`MaybeUninit::assume_init`]: mem::MaybeUninit::method.assume_init
     ///
     /// # Examples
     ///
@@ -616,7 +616,7 @@ impl<T> Arc<[mem::MaybeUninit<T>]> {
     /// Calling this when the content is not yet fully initialized
     /// causes immediate undefined behavior.
     ///
-    /// [`MaybeUninit::assume_init`]: ../../std/mem/union.MaybeUninit.html#method.assume_init
+    /// [`MaybeUninit::assume_init`]: mem::MaybeUninit::method.assume_init
     ///
     /// # Examples
     ///
diff --git a/library/core/src/pin.rs b/library/core/src/pin.rs
index 8f60c4787d4..a12a22fa26d 100644
--- a/library/core/src/pin.rs
+++ b/library/core/src/pin.rs
@@ -661,7 +661,7 @@ impl<'a, T: ?Sized> Pin<&'a T> {
     /// because it is one of the fields of that value), and also that you do
     /// not move out of the argument you receive to the interior function.
     ///
-    /// [`pin` module]: ../../std/pin/index.html#projections-and-structural-pinning
+    /// [`pin` module]: self#projections-and-structural-pinning
     #[stable(feature = "pin", since = "1.33.0")]
     pub unsafe fn map_unchecked<U, F>(self, func: F) -> Pin<&'a U>
     where
@@ -692,7 +692,7 @@ impl<'a, T: ?Sized> Pin<&'a T> {
     /// the `Pin` itself. This method allows turning the `Pin` into a reference
     /// with the same lifetime as the original `Pin`.
     ///
-    /// ["pinning projections"]: ../../std/pin/index.html#projections-and-structural-pinning
+    /// ["pinning projections"]: self#projections-and-structural-pinning
     #[stable(feature = "pin", since = "1.33.0")]
     #[inline(always)]
     pub fn get_ref(self) -> &'a T {
@@ -756,7 +756,7 @@ impl<'a, T: ?Sized> Pin<&'a mut T> {
     /// because it is one of the fields of that value), and also that you do
     /// not move out of the argument you receive to the interior function.
     ///
-    /// [`pin` module]: ../../std/pin/index.html#projections-and-structural-pinning
+    /// [`pin` module]: self#projections-and-structural-pinning
     #[stable(feature = "pin", since = "1.33.0")]
     pub unsafe fn map_unchecked_mut<U, F>(self, func: F) -> Pin<&'a mut U>
     where
diff --git a/library/std/src/ascii.rs b/library/std/src/ascii.rs
index c9106136d34..035cd9f243b 100644
--- a/library/std/src/ascii.rs
+++ b/library/std/src/ascii.rs
@@ -70,7 +70,6 @@ pub trait AsciiExt {
     /// inherent methods on `u8`, `char`, `[u8]` and `str`.
     ///
     /// [`make_ascii_uppercase`]: AsciiExt::make_ascii_uppercase
-    /// [`str::to_uppercase`]: ../primitive.str.html#method.to_uppercase
     #[stable(feature = "rust1", since = "1.0.0")]
     #[allow(deprecated)]
     fn to_ascii_uppercase(&self) -> Self::Owned;
@@ -91,7 +90,6 @@ pub trait AsciiExt {
     /// inherent methods on `u8`, `char`, `[u8]` and `str`.
     ///
     /// [`make_ascii_lowercase`]: AsciiExt::make_ascii_lowercase
-    /// [`str::to_lowercase`]: ../primitive.str.html#method.to_lowercase
     #[stable(feature = "rust1", since = "1.0.0")]
     #[allow(deprecated)]
     fn to_ascii_lowercase(&self) -> Self::Owned;
diff --git a/library/std/src/fs.rs b/library/std/src/fs.rs
index 3cfb6bc9d3d..161bfe3795c 100644
--- a/library/std/src/fs.rs
+++ b/library/std/src/fs.rs
@@ -553,7 +553,7 @@ impl File {
     /// the `SetFileInformationByHandle` function on Windows. Note that, this
     /// [may change in the future][changes].
     ///
-    /// [changes]: ../io/index.html#platform-specific-behavior
+    /// [changes]: io#platform-specific-behavior
     ///
     /// # Errors
     ///
@@ -1503,7 +1503,7 @@ impl AsInner<fs_imp::DirEntry> for DirEntry {
 /// and the `DeleteFile` function on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
@@ -1541,7 +1541,7 @@ pub fn remove_file<P: AsRef<Path>>(path: P) -> io::Result<()> {
 /// and the `GetFileAttributesEx` function on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
@@ -1575,7 +1575,7 @@ pub fn metadata<P: AsRef<Path>>(path: P) -> io::Result<Metadata> {
 /// and the `GetFileAttributesEx` function on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
@@ -1618,7 +1618,7 @@ pub fn symlink_metadata<P: AsRef<Path>>(path: P) -> io::Result<Metadata> {
 ///
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
@@ -1669,7 +1669,7 @@ pub fn rename<P: AsRef<Path>, Q: AsRef<Path>>(from: P, to: Q) -> io::Result<()>
 /// `fcopyfile`.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
@@ -1707,7 +1707,7 @@ pub fn copy<P: AsRef<Path>, Q: AsRef<Path>>(from: P, to: Q) -> io::Result<u64> {
 /// and the `CreateHardLink` function on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
@@ -1772,7 +1772,7 @@ pub fn soft_link<P: AsRef<Path>, Q: AsRef<Path>>(src: P, dst: Q) -> io::Result<(
 /// `FILE_FLAG_BACKUP_SEMANTICS` flags on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
@@ -1812,7 +1812,7 @@ pub fn read_link<P: AsRef<Path>>(path: P) -> io::Result<PathBuf> {
 /// with other applications (if passed to the application on the command-line,
 /// or written to a file another application may read).
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 /// [path]: https://docs.microsoft.com/en-us/windows/win32/fileio/naming-a-file
 ///
 /// # Errors
@@ -1846,7 +1846,7 @@ pub fn canonicalize<P: AsRef<Path>>(path: P) -> io::Result<PathBuf> {
 /// and the `CreateDirectory` function on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// **NOTE**: If a parent of the given path doesn't exist, this function will
 /// return an error. To create a directory and all its missing parents at the
@@ -1887,7 +1887,7 @@ pub fn create_dir<P: AsRef<Path>>(path: P) -> io::Result<()> {
 /// and the `CreateDirectory` function on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
@@ -1930,7 +1930,7 @@ pub fn create_dir_all<P: AsRef<Path>>(path: P) -> io::Result<()> {
 /// and the `RemoveDirectory` function on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
@@ -1970,7 +1970,7 @@ pub fn remove_dir<P: AsRef<Path>>(path: P) -> io::Result<()> {
 /// on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
@@ -2006,7 +2006,7 @@ pub fn remove_dir_all<P: AsRef<Path>>(path: P) -> io::Result<()> {
 /// currently corresponds to `readdir` on Unix and `FindNextFile` on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// The order in which this iterator returns entries is platform and filesystem
 /// dependent.
@@ -2075,7 +2075,7 @@ pub fn read_dir<P: AsRef<Path>>(path: P) -> io::Result<ReadDir> {
 /// and the `SetFileAttributes` function on Windows.
 /// Note that, this [may change in the future][changes].
 ///
-/// [changes]: ../io/index.html#platform-specific-behavior
+/// [changes]: io#platform-specific-behavior
 ///
 /// # Errors
 ///
diff --git a/library/std/src/net/addr.rs b/library/std/src/net/addr.rs
index 1ba243804fe..499b1137dcb 100644
--- a/library/std/src/net/addr.rs
+++ b/library/std/src/net/addr.rs
@@ -213,8 +213,6 @@ impl SocketAddr {
     ///
     /// [IP address]: IpAddr
     /// [`IPv4` address]: IpAddr::V4
-    /// [`false`]: ../../std/primitive.bool.html
-    /// [`true`]: ../../std/primitive.bool.html
     ///
     /// # Examples
     ///
@@ -235,8 +233,6 @@ impl SocketAddr {
     ///
     /// [IP address]: IpAddr
     /// [`IPv6` address]: IpAddr::V6
-    /// [`false`]: ../../std/primitive.bool.html
-    /// [`true`]: ../../std/primitive.bool.html
     ///
     /// # Examples
     ///
diff --git a/library/std/src/prelude/mod.rs b/library/std/src/prelude/mod.rs
index 710c616be73..5736203cbdc 100644
--- a/library/std/src/prelude/mod.rs
+++ b/library/std/src/prelude/mod.rs
@@ -75,7 +75,7 @@
 //! [`std::result`]: crate::result
 //! [`std::slice`]: crate::slice
 //! [`std::string`]: crate::string
-//! [`std::vec`]: ../vec/index.html
+//! [`std::vec`]: crate::vec!
 //! [`to_owned`]: crate::borrow::ToOwned::to_owned
 //! [book-closures]: ../../book/ch13-01-closures.html
 //! [book-dtor]: ../../book/ch15-03-drop.html
diff --git a/library/std/src/sys/unix/ext/fs.rs b/library/std/src/sys/unix/ext/fs.rs
index b590a0280d1..e48e950928a 100644
--- a/library/std/src/sys/unix/ext/fs.rs
+++ b/library/std/src/sys/unix/ext/fs.rs
@@ -8,6 +8,9 @@ use crate::path::Path;
 use crate::sys;
 use crate::sys::platform::fs::MetadataExt as UnixMetadataExt;
 use crate::sys_common::{AsInner, AsInnerMut, FromInner};
+// Used for `File::read` on intra-doc links
+#[allow(unused_imports)]
+use io::{Read, Write};
 
 /// Unix-specific extensions to [`fs::File`].
 #[stable(feature = "file_offset", since = "1.15.0")]
@@ -24,7 +27,7 @@ pub trait FileExt {
     /// Note that similar to [`File::read`], it is not an error to return with a
     /// short read.
     ///
-    /// [`File::read`]: ../../../../std/fs/struct.File.html#method.read
+    /// [`File::read`]: fs::File::read
     ///
     /// # Examples
     ///
@@ -127,7 +130,7 @@ pub trait FileExt {
     /// Note that similar to [`File::write`], it is not an error to return a
     /// short write.
     ///
-    /// [`File::write`]: ../../../../std/fs/struct.File.html#method.write
+    /// [`File::write`]: fs::File::write
     ///
     /// # Examples
     ///