Merge pull request #1 from fpvandoorn/master

Add `\Cref` to proposition and sub-sub-section (#15)

blueprint/src/chapter/main.tex

@@ -271,21 +271,15 @@ \chapter{Proof of Metric Space Carleson, overview}
 $\sigma_1$ and $\sigma_2$ are contained in $[-S,S]$ and $F$ and $G$ are contained
 in the ball $B(o, D^S)$.
 
+In \Cref{christsection}, we prove \Cref{finitary-Carleson} using a
+bound for a dyadic model formulated in \Cref{discrete-Carleson} below.
 
-In \Cref{christsection},
-we prove \Cref{finitary-Carleson}
- using  a
-bound for a dyadic model formulated in Proposition
-\ref{discrete-Carleson} below.
-
-A grid structure $(\mathcal{D}, c, s)$ on $X$ consists of a finite collection $\mathcal{D}$  of Borel sets in $X$ called dyadic cubes, a surjective function  $s\colon \mathcal{D}\to [-S, S]$
-called scale function,
-and a function $c:\mathcal{D}\to X$
+A grid structure $(\mathcal{D}, c, s)$ on $X$ consists of a finite collection $\mathcal{D}$ of Borel
+sets in $X$ called dyadic cubes, a surjective function $s\colon \mathcal{D}\to [-S, S]$
+called scale function, and a function $c:\mathcal{D}\to X$
 called center function such that the five properties
-\eqref{coverdyadic},
-\eqref{dyadicproperty}, \eqref{coverball},
-\eqref{eq-vol-sp-cube}, and \eqref{eq-small-boundary}
-hold.
+\eqref{coverdyadic}, \eqref{dyadicproperty}, \eqref{coverball},
+\eqref{eq-vol-sp-cube}, and \eqref{eq-small-boundary} hold.
 
 For each dyadic cube $I$  and each $-S\le k<s(I)$ we have
 \begin{equation}\label{coverdyadic}
@@ -4801,7 +4795,7 @@ \section{Almost orthogonality of separated trees}
 \section{Proof of the Tiles with large separation Lemma}
     \label{subsec-big-tiles}
 
-\Cref{correlation-distant-tree-parts} follows from the van der Corput estimate in \Cref{Holder-van-der-Corput}. We apply this proposition in Subsubsection \ref{subsubsec-van-der-corput}. To prepare this application, we first, in Subsubsection \ref{subsubsec-pao}, construct a suitable partition of unity, and show then, in Subsubsection \ref{subsubsec-holder-estimates} the H\"older estimates needed to apply \Cref{Holder-van-der-Corput}.
+\Cref{correlation-distant-tree-parts} follows from the van der Corput estimate in \Cref{Holder-van-der-Corput}. We apply this proposition in \Cref{subsubsec-van-der-corput}. To prepare this application, we first, in \Cref{subsubsec-pao}, construct a suitable partition of unity, and show then, in \Cref{subsubsec-holder-estimates} the H\"older estimates needed to apply \Cref{Holder-van-der-Corput}.
 
 \subsection{A partition of unity}
 \label{subsubsec-pao}