diff --git a/components/engine/docs/sources/reference/commandline/cli.md b/components/engine/docs/sources/reference/commandline/cli.md
index b9f506a6c8..b78a169b5f 100644
--- a/components/engine/docs/sources/reference/commandline/cli.md
+++ b/components/engine/docs/sources/reference/commandline/cli.md
@@ -516,10 +516,16 @@ interactively.  You can attach to the same contained process multiple times
 simultaneously, screen sharing style, or quickly view the progress of your
 daemonized process.
 
-You can detach from the container (and leave it running) with `CTRL-p CTRL-q`
-(for a quiet exit) or `CTRL-c` which will send a `SIGKILL` to the container.
-When you are attached to a container, and exit its main process, the process's
-exit code will be returned to the client.
+You can detach from the container and leave it running with `CTRL-p
+CTRL-q` (for a quiet exit) or with `CTRL-c` if `--sig-proxy` is false.
+
+If `--sig-proxy` is true (the default),`CTRL-c` sends a `SIGINT`
+to the container.
+
+>**Note**: A process running as PID 1 inside a container is treated
+>specially by Linux: it ignores any signal with the default action.
+>So, the process will not terminate on `SIGINT` or `SIGTERM` unless it is
+>coded to do so.
 
 It is forbidden to redirect the standard input of a `docker attach` command while
 attaching to a tty-enabled container (i.e.: launched with `-t`).
diff --git a/components/engine/docs/sources/reference/run.md b/components/engine/docs/sources/reference/run.md
index daf26bff8f..d41b686c4b 100644
--- a/components/engine/docs/sources/reference/run.md
+++ b/components/engine/docs/sources/reference/run.md
@@ -111,6 +111,11 @@ as you'll see in later examples.  Specifying `-t` is forbidden when the client
 standard output is redirected or piped, such as in:
 `echo test | docker run -i busybox cat`.
 
+>**Note**: A process running as PID 1 inside a container is treated
+>specially by Linux: it ignores any signal with the default action.
+>So, the process will not terminate on `SIGINT` or `SIGTERM` unless it is
+>coded to do so.
+
 ## Container identification
 
 ### Name (--name)