diff --git a/include/algorithm b/include/algorithm
index 74a326dbf..90f1d246c 100644
--- a/include/algorithm
+++ b/include/algorithm
@@ -645,7 +645,13 @@ template <class BidirectionalIterator, class Compare>
 #include <functional>
 #include <iterator>
 #include <cstddef>
-#include <bit>
+
+#if defined(__IBMCPP__)
+#include "support/ibm/support.h"
+#endif
+#if defined(_LIBCPP_COMPILER_MSVC)
+#include <intrin.h>
+#endif
 
 #include <__debug>
 
@@ -782,6 +788,135 @@ struct __debug_less
 
 #endif  // _LIBCPP_DEBUG
 
+// Precondition:  __x != 0
+inline _LIBCPP_INLINE_VISIBILITY
+unsigned __ctz(unsigned __x) {
+#ifndef _LIBCPP_COMPILER_MSVC
+    return static_cast<unsigned>(__builtin_ctz(__x));
+#else
+  static_assert(sizeof(unsigned) == sizeof(unsigned long), "");
+  static_assert(sizeof(unsigned long) == 4, "");
+  unsigned long where;
+  // Search from LSB to MSB for first set bit.
+  // Returns zero if no set bit is found.
+  if (_BitScanForward(&where, __x))
+    return where;
+  return 32;
+#endif
+}
+
+inline _LIBCPP_INLINE_VISIBILITY
+unsigned long __ctz(unsigned long __x) {
+#ifndef _LIBCPP_COMPILER_MSVC
+    return static_cast<unsigned long>(__builtin_ctzl(__x));
+#else
+    static_assert(sizeof(unsigned long) == sizeof(unsigned), "");
+    return __ctz(static_cast<unsigned>(__x));
+#endif
+}
+
+inline _LIBCPP_INLINE_VISIBILITY
+unsigned long long __ctz(unsigned long long __x) {
+#ifndef _LIBCPP_COMPILER_MSVC
+    return static_cast<unsigned long long>(__builtin_ctzll(__x));
+#else
+    unsigned long where;
+// Search from LSB to MSB for first set bit.
+// Returns zero if no set bit is found.
+#if defined(_LIBCPP_HAS_BITSCAN64)
+    (defined(_M_AMD64) || defined(__x86_64__))
+  if (_BitScanForward64(&where, __x))
+    return static_cast<int>(where);
+#else
+  // Win32 doesn't have _BitScanForward64 so emulate it with two 32 bit calls.
+  // Scan the Low Word.
+  if (_BitScanForward(&where, static_cast<unsigned long>(__x)))
+    return where;
+  // Scan the High Word.
+  if (_BitScanForward(&where, static_cast<unsigned long>(__x >> 32)))
+    return where + 32; // Create a bit offset from the LSB.
+#endif
+  return 64;
+#endif // _LIBCPP_COMPILER_MSVC
+}
+
+// Precondition:  __x != 0
+inline _LIBCPP_INLINE_VISIBILITY
+unsigned __clz(unsigned __x) {
+#ifndef _LIBCPP_COMPILER_MSVC
+    return static_cast<unsigned>(__builtin_clz(__x));
+#else
+  static_assert(sizeof(unsigned) == sizeof(unsigned long), "");
+  static_assert(sizeof(unsigned long) == 4, "");
+  unsigned long where;
+  // Search from LSB to MSB for first set bit.
+  // Returns zero if no set bit is found.
+  if (_BitScanReverse(&where, __x))
+    return 31 - where;
+  return 32; // Undefined Behavior.
+#endif
+}
+
+inline _LIBCPP_INLINE_VISIBILITY
+unsigned long __clz(unsigned long __x) {
+#ifndef _LIBCPP_COMPILER_MSVC
+    return static_cast<unsigned long>(__builtin_clzl (__x));
+#else
+    static_assert(sizeof(unsigned) == sizeof(unsigned long), "");
+    return __clz(static_cast<unsigned>(__x));
+#endif
+}
+
+inline _LIBCPP_INLINE_VISIBILITY
+unsigned long long __clz(unsigned long long __x) {
+#ifndef _LIBCPP_COMPILER_MSVC
+    return static_cast<unsigned long long>(__builtin_clzll(__x));
+#else
+  unsigned long where;
+// BitScanReverse scans from MSB to LSB for first set bit.
+// Returns 0 if no set bit is found.
+#if defined(_LIBCPP_HAS_BITSCAN64)
+  if (_BitScanReverse64(&where, __x))
+    return static_cast<int>(63 - where);
+#else
+  // Scan the high 32 bits.
+  if (_BitScanReverse(&where, static_cast<unsigned long>(__x >> 32)))
+    return 63 - (where + 32); // Create a bit offset from the MSB.
+  // Scan the low 32 bits.
+  if (_BitScanReverse(&where, static_cast<unsigned long>(__x)))
+    return 63 - where;
+#endif
+  return 64; // Undefined Behavior.
+#endif // _LIBCPP_COMPILER_MSVC
+}
+
+inline _LIBCPP_INLINE_VISIBILITY int __pop_count(unsigned __x) {
+#ifndef _LIBCPP_COMPILER_MSVC
+  return __builtin_popcount  (__x);
+#else
+  static_assert(sizeof(unsigned) == 4, "");
+  return __popcnt(__x);
+#endif
+}
+
+inline _LIBCPP_INLINE_VISIBILITY int __pop_count(unsigned long __x) {
+#ifndef _LIBCPP_COMPILER_MSVC
+  return __builtin_popcountl (__x);
+#else
+  static_assert(sizeof(unsigned long) == 4, "");
+  return __popcnt(__x);
+#endif
+}
+
+inline _LIBCPP_INLINE_VISIBILITY int __pop_count(unsigned long long __x) {
+#ifndef _LIBCPP_COMPILER_MSVC
+  return __builtin_popcountll(__x);
+#else
+  static_assert(sizeof(unsigned long long) == 8, "");
+  return __popcnt64(__x);
+#endif
+}
+
 // all_of
 
 template <class _InputIterator, class _Predicate>
diff --git a/include/bit b/include/bit
deleted file mode 100644
index 2d403bf7a..000000000
--- a/include/bit
+++ /dev/null
@@ -1,169 +0,0 @@
-// -*- C++ -*-
-//===------------------------------ bit ----------------------------------===//
-//
-//                     The LLVM Compiler Infrastructure
-//
-// This file is dual licensed under the MIT and the University of Illinois Open
-// Source Licenses. See LICENSE.TXT for details.
-//
-//===---------------------------------------------------------------------===//
-
-#ifndef _LIBCPP_BIT
-#define _LIBCPP_BIT
-
-/*
-    bit synopsis
-
-namespace std {
-
-} // namespace std
-
-*/
-
-#include <__config>
-
-#if defined(__IBMCPP__)
-#include "support/ibm/support.h"
-#endif
-#if defined(_LIBCPP_COMPILER_MSVC)
-#include <intrin.h>
-#endif
-
-#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
-#pragma GCC system_header
-#endif
-
-_LIBCPP_BEGIN_NAMESPACE_STD
-
-// Precondition:  __x != 0
-inline _LIBCPP_INLINE_VISIBILITY
-unsigned __ctz(unsigned __x) {
-#ifndef _LIBCPP_COMPILER_MSVC
-    return static_cast<unsigned>(__builtin_ctz(__x));
-#else
-  static_assert(sizeof(unsigned) == sizeof(unsigned long), "");
-  static_assert(sizeof(unsigned long) == 4, "");
-  unsigned long where;
-  // Search from LSB to MSB for first set bit.
-  // Returns zero if no set bit is found.
-  if (_BitScanForward(&where, __x))
-    return where;
-  return 32;
-#endif
-}
-
-inline _LIBCPP_INLINE_VISIBILITY
-unsigned long __ctz(unsigned long __x) {
-#ifndef _LIBCPP_COMPILER_MSVC
-    return static_cast<unsigned long>(__builtin_ctzl(__x));
-#else
-    static_assert(sizeof(unsigned long) == sizeof(unsigned), "");
-    return __ctz(static_cast<unsigned>(__x));
-#endif
-}
-
-inline _LIBCPP_INLINE_VISIBILITY
-unsigned long long __ctz(unsigned long long __x) {
-#ifndef _LIBCPP_COMPILER_MSVC
-    return static_cast<unsigned long long>(__builtin_ctzll(__x));
-#else
-    unsigned long where;
-// Search from LSB to MSB for first set bit.
-// Returns zero if no set bit is found.
-#if defined(_LIBCPP_HAS_BITSCAN64)
-    (defined(_M_AMD64) || defined(__x86_64__))
-  if (_BitScanForward64(&where, __x))
-    return static_cast<int>(where);
-#else
-  // Win32 doesn't have _BitScanForward64 so emulate it with two 32 bit calls.
-  // Scan the Low Word.
-  if (_BitScanForward(&where, static_cast<unsigned long>(__x)))
-    return where;
-  // Scan the High Word.
-  if (_BitScanForward(&where, static_cast<unsigned long>(__x >> 32)))
-    return where + 32; // Create a bit offset from the LSB.
-#endif
-  return 64;
-#endif // _LIBCPP_COMPILER_MSVC
-}
-
-// Precondition:  __x != 0
-inline _LIBCPP_INLINE_VISIBILITY
-unsigned __clz(unsigned __x) {
-#ifndef _LIBCPP_COMPILER_MSVC
-    return static_cast<unsigned>(__builtin_clz(__x));
-#else
-  static_assert(sizeof(unsigned) == sizeof(unsigned long), "");
-  static_assert(sizeof(unsigned long) == 4, "");
-  unsigned long where;
-  // Search from LSB to MSB for first set bit.
-  // Returns zero if no set bit is found.
-  if (_BitScanReverse(&where, __x))
-    return 31 - where;
-  return 32; // Undefined Behavior.
-#endif
-}
-
-inline _LIBCPP_INLINE_VISIBILITY
-unsigned long __clz(unsigned long __x) {
-#ifndef _LIBCPP_COMPILER_MSVC
-    return static_cast<unsigned long>(__builtin_clzl (__x));
-#else
-    static_assert(sizeof(unsigned) == sizeof(unsigned long), "");
-    return __clz(static_cast<unsigned>(__x));
-#endif
-}
-
-inline _LIBCPP_INLINE_VISIBILITY
-unsigned long long __clz(unsigned long long __x) {
-#ifndef _LIBCPP_COMPILER_MSVC
-    return static_cast<unsigned long long>(__builtin_clzll(__x));
-#else
-  unsigned long where;
-// BitScanReverse scans from MSB to LSB for first set bit.
-// Returns 0 if no set bit is found.
-#if defined(_LIBCPP_HAS_BITSCAN64)
-  if (_BitScanReverse64(&where, __x))
-    return static_cast<int>(63 - where);
-#else
-  // Scan the high 32 bits.
-  if (_BitScanReverse(&where, static_cast<unsigned long>(__x >> 32)))
-    return 63 - (where + 32); // Create a bit offset from the MSB.
-  // Scan the low 32 bits.
-  if (_BitScanReverse(&where, static_cast<unsigned long>(__x)))
-    return 63 - where;
-#endif
-  return 64; // Undefined Behavior.
-#endif // _LIBCPP_COMPILER_MSVC
-}
-
-inline _LIBCPP_INLINE_VISIBILITY int __pop_count(unsigned __x) {
-#ifndef _LIBCPP_COMPILER_MSVC
-  return __builtin_popcount  (__x);
-#else
-  static_assert(sizeof(unsigned) == 4, "");
-  return __popcnt(__x);
-#endif
-}
-
-inline _LIBCPP_INLINE_VISIBILITY int __pop_count(unsigned long __x) {
-#ifndef _LIBCPP_COMPILER_MSVC
-  return __builtin_popcountl (__x);
-#else
-  static_assert(sizeof(unsigned long) == 4, "");
-  return __popcnt(__x);
-#endif
-}
-
-inline _LIBCPP_INLINE_VISIBILITY int __pop_count(unsigned long long __x) {
-#ifndef _LIBCPP_COMPILER_MSVC
-  return __builtin_popcountll(__x);
-#else
-  static_assert(sizeof(unsigned long long) == 8, "");
-  return __popcnt64(__x);
-#endif
-}
-
-_LIBCPP_END_NAMESPACE_STD
-
-#endif // _LIBCPP_BIT
diff --git a/include/module.modulemap b/include/module.modulemap
index 681c80bea..089505586 100644
--- a/include/module.modulemap
+++ b/include/module.modulemap
@@ -228,10 +228,6 @@ module std [system] {
     header "atomic"
     export *
   }
-  module bit {
-    header "bit"
-    export *
-  }
   module bitset {
     header "bitset"
     export string
diff --git a/test/libcxx/double_include.sh.cpp b/test/libcxx/double_include.sh.cpp
index 9ad8df4dd..8d08db4fd 100644
--- a/test/libcxx/double_include.sh.cpp
+++ b/test/libcxx/double_include.sh.cpp
@@ -27,7 +27,6 @@
 #ifndef _LIBCPP_HAS_NO_THREADS
 #include <atomic>
 #endif
-#include <bit>
 #include <bitset>
 #include <cassert>
 #include <ccomplex>