diff --git a/library/core/src/fmt/mod.rs b/library/core/src/fmt/mod.rs
index 2be8d37bbee67..c593737af8ac6 100644
--- a/library/core/src/fmt/mod.rs
+++ b/library/core/src/fmt/mod.rs
@@ -2867,7 +2867,7 @@ macro_rules! tuple {
         maybe_tuple_doc! {
             $($name)+ @
             #[stable(feature = "rust1", since = "1.0.0")]
-            impl<$($name:Debug),+> Debug for ($($name,)+) where last_type!($($name,)+): ?Sized {
+            impl<$($name:Debug),+> Debug for ($($name,)+) {
                 #[allow(non_snake_case, unused_assignments)]
                 fn fmt(&self, f: &mut Formatter<'_>) -> Result {
                     let mut builder = f.debug_tuple("");
@@ -2898,11 +2898,6 @@ macro_rules! maybe_tuple_doc {
     };
 }
 
-macro_rules! last_type {
-    ($a:ident,) => { $a };
-    ($a:ident, $($rest_a:ident,)+) => { last_type!($($rest_a,)+) };
-}
-
 tuple! { E, D, C, B, A, Z, Y, X, W, V, U, T, }
 
 #[stable(feature = "rust1", since = "1.0.0")]
diff --git a/library/core/src/hash/mod.rs b/library/core/src/hash/mod.rs
index efda64791d403..a10c85640bbb6 100644
--- a/library/core/src/hash/mod.rs
+++ b/library/core/src/hash/mod.rs
@@ -886,7 +886,7 @@ mod impls {
             maybe_tuple_doc! {
                 $($name)+ @
                 #[stable(feature = "rust1", since = "1.0.0")]
-                impl<$($name: Hash),+> Hash for ($($name,)+) where last_type!($($name,)+): ?Sized {
+                impl<$($name: Hash),+> Hash for ($($name,)+) {
                     #[allow(non_snake_case)]
                     #[inline]
                     fn hash<S: Hasher>(&self, state: &mut S) {
@@ -912,11 +912,6 @@ mod impls {
         };
     }
 
-    macro_rules! last_type {
-        ($a:ident,) => { $a };
-        ($a:ident, $($rest_a:ident,)+) => { last_type!($($rest_a,)+) };
-    }
-
     impl_hash_tuple! {}
     impl_hash_tuple! { T }
     impl_hash_tuple! { T B }
diff --git a/library/core/src/ops/range.rs b/library/core/src/ops/range.rs
index 1935268cda891..ad3b6439a6105 100644
--- a/library/core/src/ops/range.rs
+++ b/library/core/src/ops/range.rs
@@ -1211,7 +1211,7 @@ pub enum OneSidedRangeBound {
 /// Types that implement `OneSidedRange<T>` must return `Bound::Unbounded`
 /// from one of `RangeBounds::start_bound` or `RangeBounds::end_bound`.
 #[unstable(feature = "one_sided_range", issue = "69780")]
-pub trait OneSidedRange<T: ?Sized>: RangeBounds<T> {
+pub trait OneSidedRange<T>: RangeBounds<T> {
     /// An internal-only helper function for `split_off` and
     /// `split_off_mut` that returns the bound of the one-sided range.
     fn bound(self) -> (OneSidedRangeBound, T);
diff --git a/library/core/src/tuple.rs b/library/core/src/tuple.rs
index 6327c41f052c9..9cf08e74ff692 100644
--- a/library/core/src/tuple.rs
+++ b/library/core/src/tuple.rs
@@ -1,7 +1,7 @@
 // See core/src/primitive_docs.rs for documentation.
 
 use crate::cmp::Ordering::{self, *};
-use crate::marker::{ConstParamTy_, PointeeSized, StructuralPartialEq, UnsizedConstParamTy};
+use crate::marker::{ConstParamTy_, StructuralPartialEq, UnsizedConstParamTy};
 use crate::ops::ControlFlow::{self, Break, Continue};
 use crate::random::{Random, RandomSource};
 
@@ -24,10 +24,7 @@ macro_rules! tuple_impls {
         maybe_tuple_doc! {
             $($T)+ @
             #[stable(feature = "rust1", since = "1.0.0")]
-            impl<$($T: PartialEq),+> PartialEq for ($($T,)+)
-            where
-                last_type!($($T,)+): PointeeSized
-            {
+            impl<$($T: PartialEq),+> PartialEq for ($($T,)+) {
                 #[inline]
                 fn eq(&self, other: &($($T,)+)) -> bool {
                     $( ${ignore($T)} self.${index()} == other.${index()} )&&+
@@ -43,8 +40,6 @@ macro_rules! tuple_impls {
             $($T)+ @
             #[stable(feature = "rust1", since = "1.0.0")]
             impl<$($T: Eq),+> Eq for ($($T,)+)
-            where
-                last_type!($($T,)+): PointeeSized
             {}
         }
 
@@ -73,8 +68,6 @@ macro_rules! tuple_impls {
             $($T)+ @
             #[stable(feature = "rust1", since = "1.0.0")]
             impl<$($T: PartialOrd),+> PartialOrd for ($($T,)+)
-            where
-                last_type!($($T,)+): PointeeSized
             {
                 #[inline]
                 fn partial_cmp(&self, other: &($($T,)+)) -> Option<Ordering> {
@@ -119,8 +112,6 @@ macro_rules! tuple_impls {
             $($T)+ @
             #[stable(feature = "rust1", since = "1.0.0")]
             impl<$($T: Ord),+> Ord for ($($T,)+)
-            where
-                last_type!($($T,)+): PointeeSized
             {
                 #[inline]
                 fn cmp(&self, other: &($($T,)+)) -> Ordering {
@@ -245,9 +236,4 @@ macro_rules! lexical_cmp {
     ($a:expr, $b:expr) => { ($a).cmp(&$b) };
 }
 
-macro_rules! last_type {
-    ($a:ident,) => { $a };
-    ($a:ident, $($rest_a:ident,)+) => { last_type!($($rest_a,)+) };
-}
-
 tuple_impls!(E D C B A Z Y X W V U T);