diff --git a/protocol/protocol.tex b/protocol/protocol.tex index 0b8e8bbf..436c9050 100644 --- a/protocol/protocol.tex +++ b/protocol/protocol.tex @@ -127,6 +127,7 @@ electronic commerce and payment, financial privacy, proof of work, zero knowledg \renewcommand{\paragraphautorefname}{\S\!} \renewcommand{\subparagraphautorefname}{\S\!} \newcommand{\crossref}[1]{\autoref{#1}\, \emph{`\nameref*{#1}\kern -0.05em'} on p.\,\pageref*{#1}} +\newcommand{\theoremref}[1]{\autoref{#1} on p.\,\pageref*{#1}} % https://tex.stackexchange.com/a/60212/78411 \newcommand{\subsubsubsection}[1]{\paragraph{#1}\mbox{}\\} @@ -4458,7 +4459,7 @@ since $G$ is of odd order \cite{KvE2013}). \end{proof} \vspace{0.5ex} -\begin{theorem} +\begin{theorem} \label{thmselectuinjective} $\Selectu$ is injective on $G$. \end{theorem} @@ -7149,7 +7150,7 @@ can be safely used: \newcommand{\halfs}{\frac{s-1}{2}} \introlist -\begin{theorem} +\begin{theorem} \label{thmdistinctxcriterion} Let $Q$ be a point of odd-prime order $s$ on a Montgomery curve $E_{\ParamM{A},\ParamM{B}} / \GF{\ParamS{r}}$. Let $k_{\barerange{1}{2}}$ be integers in $\rangenozero{-\halfs}{\halfs}$. Let $P_i = \scalarmult{k_i}{Q} = (x_i, y_i)$ for $i \in \range{1}{2}$, with