diff --git a/src/equivalent.rs b/src/equivalent.rs
index 649d809..ad6635f 100644
--- a/src/equivalent.rs
+++ b/src/equivalent.rs
@@ -1,4 +1,4 @@
-use std::borrow::Borrow;
+use core::borrow::Borrow;
 
 /// Key equivalence trait.
 ///
diff --git a/src/lib.rs b/src/lib.rs
index 3def5d6..a5ebc06 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -1,7 +1,7 @@
 // We *mostly* avoid unsafe code, but `map::core::raw` allows it to use `RawTable` buckets.
 #![deny(unsafe_code)]
 #![doc(html_root_url = "https://docs.rs/indexmap/1/")]
-#![cfg_attr(not(has_std), no_std)]
+#![no_std]
 
 //! [`IndexMap`] is a hash table where the iteration order of the key-value
 //! pairs is independent of the hash values of the keys.
@@ -82,22 +82,17 @@
 #[cfg(not(has_std))]
 extern crate alloc;
 
+#[cfg(has_std)]
+#[macro_use]
+extern crate std;
+
 extern crate hashbrown;
 
 #[cfg(not(has_std))]
-pub(crate) mod std {
-    pub use core::*;
-    pub mod alloc {
-        pub use alloc::*;
-    }
-    pub mod collections {
-        pub use alloc::collections::*;
-    }
-    pub use alloc::vec;
-}
+use alloc::vec::{self, Vec};
 
-#[cfg(not(has_std))]
-use std::vec::Vec;
+#[cfg(has_std)]
+use std::vec::{self, Vec};
 
 #[macro_use]
 mod macros;
diff --git a/src/map.rs b/src/map.rs
index c851844..a904daf 100644
--- a/src/map.rs
+++ b/src/map.rs
@@ -3,26 +3,22 @@
 
 mod core;
 
-#[cfg(not(has_std))]
-use std::vec::Vec;
-
 pub use mutable_keys::MutableKeys;
 
 #[cfg(feature = "rayon")]
 pub use rayon::map as rayon;
 
-use std::hash::BuildHasher;
-use std::hash::Hash;
-use std::hash::Hasher;
-use std::iter::FromIterator;
-use std::ops::RangeFull;
+use core::cmp::Ordering;
+use core::fmt;
+use core::hash::{BuildHasher, Hash, Hasher};
+use core::iter::FromIterator;
+use core::ops::{Index, IndexMut, RangeFull};
+use core::slice::{Iter as SliceIter, IterMut as SliceIterMut};
+use vec::{self, Vec};
 
 #[cfg(has_std)]
 use std::collections::hash_map::RandomState;
 
-use std::cmp::Ordering;
-use std::fmt;
-
 use self::core::IndexMapCore;
 use equivalent::Equivalent;
 use util::third;
@@ -720,10 +716,6 @@ impl<K, V, S> IndexMap<K, V, S> {
     }
 }
 
-use std::slice::Iter as SliceIter;
-use std::slice::IterMut as SliceIterMut;
-use std::vec::IntoIter as VecIntoIter;
-
 /// An iterator over the keys of a `IndexMap`.
 ///
 /// This `struct` is created by the [`keys`] method on [`IndexMap`]. See its
@@ -922,7 +914,7 @@ impl<'a, K, V> ExactSizeIterator for IterMut<'a, K, V> {
 /// [`into_iter`]: struct.IndexMap.html#method.into_iter
 /// [`IndexMap`]: struct.IndexMap.html
 pub struct IntoIter<K, V> {
-    pub(crate) iter: VecIntoIter<Bucket<K, V>>,
+    pub(crate) iter: vec::IntoIter<Bucket<K, V>>,
 }
 
 impl<K, V> Iterator for IntoIter<K, V> {
@@ -962,7 +954,7 @@ where
     K: 'a,
     V: 'a,
 {
-    pub(crate) iter: ::std::vec::Drain<'a, Bucket<K, V>>,
+    pub(crate) iter: vec::Drain<'a, Bucket<K, V>>,
 }
 
 impl<'a, K, V> Iterator for Drain<'a, K, V> {
@@ -1013,8 +1005,6 @@ where
     }
 }
 
-use std::ops::{Index, IndexMut};
-
 impl<'a, K, V, Q: ?Sized, S> Index<&'a Q> for IndexMap<K, V, S>
 where
     Q: Hash + Equivalent<K>,
@@ -1149,6 +1139,7 @@ where
 #[cfg(test)]
 mod tests {
     use super::*;
+    use std::string::String;
     use util::enumerate;
 
     #[test]
@@ -1405,8 +1396,7 @@ mod tests {
         map_b.swap_remove(&1);
         assert_ne!(map_a, map_b);
 
-        let map_c: IndexMap<_, String> =
-            map_b.into_iter().map(|(k, v)| (k, v.to_owned())).collect();
+        let map_c: IndexMap<_, String> = map_b.into_iter().map(|(k, v)| (k, v.into())).collect();
         assert_ne!(map_a, map_c);
         assert_ne!(map_c, map_a);
     }
diff --git a/src/map/core.rs b/src/map/core.rs
index 89c20ff..7de69ac 100644
--- a/src/map/core.rs
+++ b/src/map/core.rs
@@ -9,16 +9,13 @@
 
 mod raw;
 
-#[cfg(not(has_std))]
-use std::vec::Vec;
-
 use hashbrown::raw::RawTable;
 
-use std::cmp;
-use std::fmt;
-use std::mem::replace;
-use std::ops::RangeFull;
-use std::vec::Drain;
+use core::cmp;
+use core::fmt;
+use core::mem::replace;
+use core::ops::RangeFull;
+use vec::{Drain, Vec};
 
 use equivalent::Equivalent;
 use util::enumerate;
diff --git a/src/map/core/raw.rs b/src/map/core/raw.rs
index c06f8c3..bf3e258 100644
--- a/src/map/core/raw.rs
+++ b/src/map/core/raw.rs
@@ -3,9 +3,9 @@
 //! mostly in dealing with its bucket "pointers".
 
 use super::{Entry, Equivalent, HashValue, IndexMapCore, VacantEntry};
+use core::fmt;
+use core::mem::replace;
 use hashbrown::raw::RawTable;
-use std::fmt;
-use std::mem::replace;
 
 type RawBucket = hashbrown::raw::Bucket<usize>;
 
diff --git a/src/mutable_keys.rs b/src/mutable_keys.rs
index 19df504..0688441 100644
--- a/src/mutable_keys.rs
+++ b/src/mutable_keys.rs
@@ -1,5 +1,4 @@
-use std::hash::BuildHasher;
-use std::hash::Hash;
+use core::hash::{BuildHasher, Hash};
 
 use super::{Equivalent, IndexMap};
 
diff --git a/src/rayon/map.rs b/src/rayon/map.rs
index c0a5899..bace670 100644
--- a/src/rayon/map.rs
+++ b/src/rayon/map.rs
@@ -9,10 +9,10 @@ use super::collect;
 use super::rayon::iter::plumbing::{Consumer, ProducerCallback, UnindexedConsumer};
 use super::rayon::prelude::*;
 
-use std::cmp::Ordering;
-use std::fmt;
-use std::hash::BuildHasher;
-use std::hash::Hash;
+use core::cmp::Ordering;
+use core::fmt;
+use core::hash::{BuildHasher, Hash};
+use vec::Vec;
 
 use Bucket;
 use Entries;
@@ -398,6 +398,7 @@ where
 #[cfg(test)]
 mod tests {
     use super::*;
+    use std::string::String;
 
     #[test]
     fn insert_order() {
@@ -433,10 +434,8 @@ mod tests {
         map_b.insert(3, "3");
         assert!(!map_a.par_eq(&map_b));
 
-        let map_c: IndexMap<_, String> = map_b
-            .into_par_iter()
-            .map(|(k, v)| (k, v.to_owned()))
-            .collect();
+        let map_c: IndexMap<_, String> =
+            map_b.into_par_iter().map(|(k, v)| (k, v.into())).collect();
         assert!(!map_a.par_eq(&map_c));
         assert!(!map_c.par_eq(&map_a));
     }
diff --git a/src/rayon/mod.rs b/src/rayon/mod.rs
index 76386ff..254c6bb 100644
--- a/src/rayon/mod.rs
+++ b/src/rayon/mod.rs
@@ -2,8 +2,14 @@ extern crate rayon;
 
 use self::rayon::prelude::*;
 
+#[cfg(not(has_std))]
+use alloc::collections::LinkedList;
+
+#[cfg(has_std)]
 use std::collections::LinkedList;
 
+use vec::Vec;
+
 // generate `ParallelIterator` methods by just forwarding to the underlying
 // self.entries and mapping its elements.
 macro_rules! parallel_iterator_methods {
diff --git a/src/rayon/set.rs b/src/rayon/set.rs
index 9e0bbe5..f8c3e06 100644
--- a/src/rayon/set.rs
+++ b/src/rayon/set.rs
@@ -9,10 +9,10 @@ use super::collect;
 use super::rayon::iter::plumbing::{Consumer, ProducerCallback, UnindexedConsumer};
 use super::rayon::prelude::*;
 
-use std::cmp::Ordering;
-use std::fmt;
-use std::hash::BuildHasher;
-use std::hash::Hash;
+use core::cmp::Ordering;
+use core::fmt;
+use core::hash::{BuildHasher, Hash};
+use vec::Vec;
 
 use Entries;
 use IndexSet;
diff --git a/src/serde.rs b/src/serde.rs
index 9199a8d..3405473 100644
--- a/src/serde.rs
+++ b/src/serde.rs
@@ -6,9 +6,9 @@ use self::serde::de::{
 };
 use self::serde::ser::{Serialize, SerializeMap, SerializeSeq, Serializer};
 
-use std::fmt::{self, Formatter};
-use std::hash::{BuildHasher, Hash};
-use std::marker::PhantomData;
+use core::fmt::{self, Formatter};
+use core::hash::{BuildHasher, Hash};
+use core::marker::PhantomData;
 
 use IndexMap;
 
diff --git a/src/set.rs b/src/set.rs
index 28ee864..52bba26 100644
--- a/src/set.rs
+++ b/src/set.rs
@@ -3,20 +3,16 @@
 #[cfg(feature = "rayon")]
 pub use rayon::set as rayon;
 
-#[cfg(not(has_std))]
-use std::vec::Vec;
-
 #[cfg(has_std)]
 use std::collections::hash_map::RandomState;
 
-use std::cmp::Ordering;
-use std::fmt;
-use std::hash::{BuildHasher, Hash};
-use std::iter::{Chain, FromIterator};
-use std::ops::RangeFull;
-use std::ops::{BitAnd, BitOr, BitXor, Sub};
-use std::slice;
-use std::vec;
+use core::cmp::Ordering;
+use core::fmt;
+use core::hash::{BuildHasher, Hash};
+use core::iter::{Chain, FromIterator};
+use core::ops::{BitAnd, BitOr, BitXor, RangeFull, Sub};
+use core::slice;
+use vec::{self, Vec};
 
 use super::{Entries, Equivalent, IndexMap};
 
@@ -1163,6 +1159,7 @@ where
 #[cfg(test)]
 mod tests {
     use super::*;
+    use std::string::String;
     use util::enumerate;
 
     #[test]
diff --git a/src/util.rs b/src/util.rs
index 4174316..e7bb0e1 100644
--- a/src/util.rs
+++ b/src/util.rs
@@ -1,4 +1,4 @@
-use std::iter::Enumerate;
+use core::iter::Enumerate;
 
 pub(crate) fn third<A, B, C>(t: (A, B, C)) -> C {
     t.2