strategy: wip proofs

[topbloke-formulae.git] / notation.tex

diff --git a/notation.tex b/notation.tex
index 0db33f686daa2b29a0e186d1e12b67717cd875d8..48ea1b7e2ceec9002f67b2d41335e5c227b69f25 100644 (file)
--- a/notation.tex
+++ b/notation.tex
@@ -1,4 +1,7 @@
-\section{Notation}
+\stdsection{Notation}
+
+Throughout, any free variables are implicitly universally quantified
+at the outermost level.
 
 \begin{basedescript}{
 \desclabelwidth{5em}
@@ -30,12 +33,16 @@ is to be taken as applying to both $\py$ and $\pn$.
 All of these sets will be disjoint by construction
 (see Invariants, below).  Hence:
 
+\item[ $\foreign$ ]
+The set of all commits which are not part of a Topbloke branch.  We
+call these foreign commits.
+
 \item[ $\set A$, $\set P$, $\ldots$ ]
 Arbitrary sets of commits.  Maybe $\set P = \p$ i.e.\ some $\py$ or $\pn$, but
 maybe not.
 
 \item[ $ \patchof{ C } $ ]
-Either $\p$ s.t. $ C \in \p $, or $\bot$.
+Either $\p$ s.t. $ C \in \p $, or $\foreign$.
 A function from commits to patches' sets $\p$.
 
 \item[ $ \pancsof{C}{\set P} $ ]