diff --git a/libcontainer/nsenter/README.md b/libcontainer/nsenter/README.md
index 57570137..9ec6c393 100644
--- a/libcontainer/nsenter/README.md
+++ b/libcontainer/nsenter/README.md
@@ -10,8 +10,8 @@ The `nsenter` package will `import "C"` and it uses [cgo](https://golang.org/cmd
 package. In cgo, if the import of "C" is immediately preceded by a comment, that comment, 
 called the preamble, is used as a header when compiling the C parts of the package.
 So every time we  import package `nsenter`, the C code function `nsexec()` would be 
-called. And package `nsenter` is now only imported in `main_unix.go`, so every time
-before we call `cmd.Start` on linux, that C code would run.
+called. And package `nsenter` is only imported in `init.go`, so every time the runc
+`init` command is invoked, that C code is run.
 
 Because `nsexec()` must be run before the Go runtime in order to use the
 Linux kernel namespace, you must `import` this library into a package if
@@ -37,7 +37,7 @@ the parent `nsexec()` will exit and the child `nsexec()` process will
 return to allow the Go runtime take over.
 
 NOTE: We do both `setns(2)` and `clone(2)` even if we don't have any
-CLONE_NEW* clone flags because we must fork a new process in order to
+`CLONE_NEW*` clone flags because we must fork a new process in order to
 enter the PID namespace.