diff --git a/src/lib.rs b/src/lib.rs
index 4735aca..278f24e 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -51,8 +51,8 @@
 //!
 //! [Lua programming language]: https://www.lua.org/
 //! [`Lua`]: struct.Lua.html
-//! [executing]: struct.Lua.html#method.exec
-//! [evaluating]: struct.Lua.html#method.eval
+//! [executing]: struct.Chunk.html#method.exec
+//! [evaluating]: struct.Chunk.html#method.eval
 //! [globals]: struct.Lua.html#method.globals
 //! [`ToLua`]: trait.ToLua.html
 //! [`FromLua`]: trait.FromLua.html
diff --git a/src/lua.rs b/src/lua.rs
index b4a734a..f175306 100644
--- a/src/lua.rs
+++ b/src/lua.rs
@@ -57,7 +57,7 @@ pub struct Lua {
     _no_ref_unwind_safe: PhantomData<UnsafeCell<()>>,
 }
 
-// Data associated with the lua_State.
+// Data associated with the Lua.
 struct ExtraData {
     registered_userdata: HashMap<TypeId, c_int>,
     registered_userdata_mt: HashSet<isize>,