diff --git a/src/libcore/cmp.rs b/src/libcore/cmp.rs
index 604be7d5f68..8c542136a7f 100644
--- a/src/libcore/cmp.rs
+++ b/src/libcore/cmp.rs
@@ -817,7 +817,7 @@ pub trait PartialOrd<Rhs: ?Sized = Self>: PartialEq<Rhs> {
     /// When comparison is impossible:
     ///
     /// ```
-    /// let result = std::f64::NAN.partial_cmp(&1.0);
+    /// let result = f64::NAN.partial_cmp(&1.0);
     /// assert_eq!(result, None);
     /// ```
     #[must_use]
diff --git a/src/libcore/iter/traits/iterator.rs b/src/libcore/iter/traits/iterator.rs
index 0c9318ab8e7..c8829817e19 100644
--- a/src/libcore/iter/traits/iterator.rs
+++ b/src/libcore/iter/traits/iterator.rs
@@ -2920,7 +2920,7 @@ pub trait Iterator {
     /// assert_eq!([1.].iter().partial_cmp([1., 2.].iter()), Some(Ordering::Less));
     /// assert_eq!([1., 2.].iter().partial_cmp([1.].iter()), Some(Ordering::Greater));
     ///
-    /// assert_eq!([std::f64::NAN].iter().partial_cmp([1.].iter()), None);
+    /// assert_eq!([f64::NAN].iter().partial_cmp([1.].iter()), None);
     /// ```
     #[stable(feature = "iter_order", since = "1.5.0")]
     fn partial_cmp<I>(self, other: I) -> Option<Ordering>
@@ -3170,7 +3170,7 @@ pub trait Iterator {
     /// assert!(![1, 3, 2, 4].iter().is_sorted());
     /// assert!([0].iter().is_sorted());
     /// assert!(std::iter::empty::<i32>().is_sorted());
-    /// assert!(![0.0, 1.0, std::f32::NAN].iter().is_sorted());
+    /// assert!(![0.0, 1.0, f32::NAN].iter().is_sorted());
     /// ```
     #[inline]
     #[unstable(feature = "is_sorted", reason = "new API", issue = "53485")]
@@ -3197,7 +3197,7 @@ pub trait Iterator {
     /// assert!(![1, 3, 2, 4].iter().is_sorted_by(|a, b| a.partial_cmp(b)));
     /// assert!([0].iter().is_sorted_by(|a, b| a.partial_cmp(b)));
     /// assert!(std::iter::empty::<i32>().is_sorted_by(|a, b| a.partial_cmp(b)));
-    /// assert!(![0.0, 1.0, std::f32::NAN].iter().is_sorted_by(|a, b| a.partial_cmp(b)));
+    /// assert!(![0.0, 1.0, f32::NAN].iter().is_sorted_by(|a, b| a.partial_cmp(b)));
     /// ```
     ///
     /// [`is_sorted`]: trait.Iterator.html#method.is_sorted
diff --git a/src/libcore/ops/range.rs b/src/libcore/ops/range.rs
index adee8cea442..946a765e18f 100644
--- a/src/libcore/ops/range.rs
+++ b/src/libcore/ops/range.rs
@@ -139,10 +139,9 @@ impl<Idx: PartialOrd<Idx>> Range<Idx> {
     /// ```
     /// #![feature(range_is_empty)]
     ///
-    /// use std::f32::NAN;
     /// assert!(!(3.0..5.0).is_empty());
-    /// assert!( (3.0..NAN).is_empty());
-    /// assert!( (NAN..5.0).is_empty());
+    /// assert!( (3.0..f32::NAN).is_empty());
+    /// assert!( (f32::NAN..5.0).is_empty());
     /// ```
     #[unstable(feature = "range_is_empty", reason = "recently added", issue = "48111")]
     pub fn is_empty(&self) -> bool {
@@ -496,10 +495,9 @@ impl<Idx: PartialOrd<Idx>> RangeInclusive<Idx> {
     /// ```
     /// #![feature(range_is_empty)]
     ///
-    /// use std::f32::NAN;
     /// assert!(!(3.0..=5.0).is_empty());
-    /// assert!( (3.0..=NAN).is_empty());
-    /// assert!( (NAN..=5.0).is_empty());
+    /// assert!( (3.0..=f32::NAN).is_empty());
+    /// assert!( (f32::NAN..=5.0).is_empty());
     /// ```
     ///
     /// This method returns `true` after iteration has finished:
diff --git a/src/libcore/slice/mod.rs b/src/libcore/slice/mod.rs
index 2140a7be9ef..9be52e2dfb0 100644
--- a/src/libcore/slice/mod.rs
+++ b/src/libcore/slice/mod.rs
@@ -2588,7 +2588,7 @@ impl<T> [T] {
     /// assert!(![1, 3, 2, 4].is_sorted());
     /// assert!([0].is_sorted());
     /// assert!(empty.is_sorted());
-    /// assert!(![0.0, 1.0, std::f32::NAN].is_sorted());
+    /// assert!(![0.0, 1.0, f32::NAN].is_sorted());
     /// ```
     #[inline]
     #[unstable(feature = "is_sorted", reason = "new API", issue = "53485")]
diff --git a/src/libstd/f32.rs b/src/libstd/f32.rs
index 20425aea8d5..ac8f305ae91 100644
--- a/src/libstd/f32.rs
+++ b/src/libstd/f32.rs
@@ -284,7 +284,7 @@ impl f32 {
     /// assert_eq!(a.rem_euclid(-b), 3.0);
     /// assert_eq!((-a).rem_euclid(-b), 1.0);
     /// // limitation due to round-off error
-    /// assert!((-std::f32::EPSILON).rem_euclid(3.0) != 0.0);
+    /// assert!((-f32::EPSILON).rem_euclid(3.0) != 0.0);
     /// ```
     #[must_use = "method returns a new number and does not mutate the original value"]
     #[inline]
@@ -962,7 +962,7 @@ impl f32 {
     /// assert!((-3.0f32).clamp(-2.0, 1.0) == -2.0);
     /// assert!((0.0f32).clamp(-2.0, 1.0) == 0.0);
     /// assert!((2.0f32).clamp(-2.0, 1.0) == 1.0);
-    /// assert!((std::f32::NAN).clamp(-2.0, 1.0).is_nan());
+    /// assert!((f32::NAN).clamp(-2.0, 1.0).is_nan());
     /// ```
     #[must_use = "method returns a new number and does not mutate the original value"]
     #[unstable(feature = "clamp", issue = "44095")]
diff --git a/src/libstd/f64.rs b/src/libstd/f64.rs
index a1128a589a6..798738e50a7 100644
--- a/src/libstd/f64.rs
+++ b/src/libstd/f64.rs
@@ -280,7 +280,7 @@ impl f64 {
     /// assert_eq!(a.rem_euclid(-b), 3.0);
     /// assert_eq!((-a).rem_euclid(-b), 1.0);
     /// // limitation due to round-off error
-    /// assert!((-std::f64::EPSILON).rem_euclid(3.0) != 0.0);
+    /// assert!((-f64::EPSILON).rem_euclid(3.0) != 0.0);
     /// ```
     #[must_use = "method returns a new number and does not mutate the original value"]
     #[inline]
@@ -928,7 +928,7 @@ impl f64 {
     /// assert!((-3.0f64).clamp(-2.0, 1.0) == -2.0);
     /// assert!((0.0f64).clamp(-2.0, 1.0) == 0.0);
     /// assert!((2.0f64).clamp(-2.0, 1.0) == 1.0);
-    /// assert!((std::f64::NAN).clamp(-2.0, 1.0).is_nan());
+    /// assert!((f64::NAN).clamp(-2.0, 1.0).is_nan());
     /// ```
     #[must_use = "method returns a new number and does not mutate the original value"]
     #[unstable(feature = "clamp", issue = "44095")]