From 1a0b4371f0db78a22b7bd1dbb048316acea0fa86 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Ya=C3=ABl=20Dillies?= Date: Thu, 16 Nov 2023 08:28:24 +0000 Subject: [PATCH] Fix blueprint --- blueprint/src/chapter/pfr-entropy.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blueprint/src/chapter/pfr-entropy.tex b/blueprint/src/chapter/pfr-entropy.tex index cfabde25..6b6cd610 100644 --- a/blueprint/src/chapter/pfr-entropy.tex +++ b/blueprint/src/chapter/pfr-entropy.tex @@ -222,7 +222,7 @@ \subsection{Endgame} \uses{first-estimate, second-estimate} From the definitions of $I_1,I_2$ (and some entropy lemma to deal with the third term), we see that \[ - I_1 = \I{U : V \, | \, S}, \qquad I_2 = \I{W : U \, | \, S}, \qquad I_2 = \I{V : W \, | \,S}. + I_1 = I{U : V \, | \, S}, \qquad I_2 = I{W : U \, | \, S}, \qquad I_2 = I{V : W \, | \,S}. \] Applying Lemma \ref{first-estimate} and Lemma \ref{second-estimate} we have the inequalities \[ I_2 \leq 2 \eta k + \frac{2\eta(2 \eta k - I_1)}{1-\eta} .