diff --git a/src/seq/index.rs b/src/seq/index.rs
index 5e76af19..6a226418 100644
--- a/src/seq/index.rs
+++ b/src/seq/index.rs
@@ -295,14 +295,14 @@ where
         key: f64,
     }
     impl PartialOrd for Element {
-        fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
+        fn partial_cmp(&self, other: &Self) -> Option<core::cmp::Ordering> {
             self.key
                 .partial_cmp(&other.key)
-                .or(Some(std::cmp::Ordering::Less))
+                .or(Some(core::cmp::Ordering::Less))
         }
     }
     impl Ord for Element {
-        fn cmp(&self, other: &Self) -> std::cmp::Ordering {
+        fn cmp(&self, other: &Self) -> core::cmp::Ordering {
             self.partial_cmp(other).unwrap() // partial_cmp will always produce a value
         }
     }
@@ -346,6 +346,9 @@ where
 
     #[cfg(not(feature = "partition_at_index"))]
     {
+        #[cfg(all(feature = "alloc", not(feature = "std")))]
+        use crate::alloc::collections::BinaryHeap;
+        #[cfg(feature = "std")]
         use std::collections::BinaryHeap;
 
         // Partially sort the array such that the `amount` elements with the largest
diff --git a/src/seq/mod.rs b/src/seq/mod.rs
index f9407f8e..bdaa19a3 100644
--- a/src/seq/mod.rs
+++ b/src/seq/mod.rs
@@ -1062,14 +1062,14 @@ mod test {
         assert_eq!(result.len(), 0);
 
         // Case 5: NaN weights
-        let choices = [('a', std::f64::NAN), ('b', 1.0), ('c', 1.0)];
+        let choices = [('a', core::f64::NAN), ('b', 1.0), ('c', 1.0)];
         assert!(matches!(
             choices.choose_multiple_weighted(&mut rng, 2, |item| item.1),
             Err(WeightedError::InvalidWeight)
         ));
 
         // Case 6: +infinity weights
-        let choices = [('a', std::f64::INFINITY), ('b', 1.0), ('c', 1.0)];
+        let choices = [('a', core::f64::INFINITY), ('b', 1.0), ('c', 1.0)];
         for _ in 0..100 {
             let result = choices
                 .choose_multiple_weighted(&mut rng, 2, |item| item.1)
@@ -1080,7 +1080,7 @@ mod test {
         }
 
         // Case 7: -infinity weights
-        let choices = [('a', std::f64::NEG_INFINITY), ('b', 1.0), ('c', 1.0)];
+        let choices = [('a', core::f64::NEG_INFINITY), ('b', 1.0), ('c', 1.0)];
         assert!(matches!(
             choices.choose_multiple_weighted(&mut rng, 2, |item| item.1),
             Err(WeightedError::InvalidWeight)