diff --git a/compiler/rustc_arena/src/lib.rs b/compiler/rustc_arena/src/lib.rs
index a0493056b816b..54552b499be56 100644
--- a/compiler/rustc_arena/src/lib.rs
+++ b/compiler/rustc_arena/src/lib.rs
@@ -32,7 +32,7 @@ use std::slice;
 
 #[inline(never)]
 #[cold]
-pub fn cold_path<F: FnOnce() -> R, R>(f: F) -> R {
+fn cold_path<F: FnOnce() -> R, R>(f: F) -> R {
     f()
 }
 
diff --git a/compiler/rustc_resolve/src/diagnostics.rs b/compiler/rustc_resolve/src/diagnostics.rs
index 69fb6870d2c67..9d55bafd2868e 100644
--- a/compiler/rustc_resolve/src/diagnostics.rs
+++ b/compiler/rustc_resolve/src/diagnostics.rs
@@ -977,7 +977,7 @@ impl<'a> Resolver<'a> {
         });
         if let Some(def_span) = def_span {
             if span.overlaps(def_span) {
-                // Don't suggest typo suggestion for itself like in the followoing:
+                // Don't suggest typo suggestion for itself like in the following:
                 // error[E0423]: expected function, tuple struct or tuple variant, found struct `X`
                 //   --> $DIR/issue-64792-bad-unicode-ctor.rs:3:14
                 //    |