diff --git a/library/data/real/real.md b/library/data/real/real.md
index 2acde23a7..5e05818fd 100644
--- a/library/data/real/real.md
+++ b/library/data/real/real.md
@@ -1,8 +1,9 @@
 data.real
 ========
 
-The real numbers.
+The real numbers: classically, as a quotient type; constructively, as a setoid.
 
 * [basic](basic.lean) : the reals as a commutative ring (constructive)
 * [order](order.lean) : the reals as an ordered ring (constructive)
-* [division](division.lean) : the reals as a discrete linear ordered field (classical)
\ No newline at end of file
+* [division](division.lean) : the reals as a discrete linear ordered field (classical)
+* [complete](complete.lean) : the reals are Cauchy complete (classical)
\ No newline at end of file