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-rw-r--r--posts/2019-03-13-a-tail-of-two-densities.md4
1 files changed, 2 insertions, 2 deletions
diff --git a/posts/2019-03-13-a-tail-of-two-densities.md b/posts/2019-03-13-a-tail-of-two-densities.md
index f3e409c..ba62777 100644
--- a/posts/2019-03-13-a-tail-of-two-densities.md
+++ b/posts/2019-03-13-a-tail-of-two-densities.md
@@ -340,7 +340,7 @@ As it turns out, **C3** is the condition we need.
$(\epsilon, \delta)$-ind if and only if **C3** holds.
**Proof**(Murtagh-Vadhan 2018). The \"if\" direction is proved
-in the same way as Lemma 1. Without loss of generality we may assume
+in the same way as Claim 1. Without loss of generality we may assume
$\mathbb P(E) = \mathbb P(F) \ge 1 - \delta$. To see this, suppose $F$
has higher probability than $E$, then we can substitute $F$ with a
subset of $F$ that has the same probability as $E$ (with possible
@@ -506,7 +506,7 @@ $$\begin{aligned}
\mathbb P(F_i | \xi_{\le i} = y_{\le i}) &= {f(y_{\le i}) \over q_i(y_{\le i})}.
\end{aligned}$$
-The rest of the proof is almost the same as the proof of Lemma 2.
+The rest of the proof is almost the same as the proof of Claim 4.
$\square$
### Back to approximate differential privacy