\newcommand{\qed}{\square}
\newcommand{\proofstarts}{{\it Proof:}}
\newcommand{\proof}[1]{\proofstarts #1 $\qed$}
-\newcommand{\commitproof}[1]{{\it Proof of commit generation conditions:}
+
+\newcommand{\commitproof}[1]{{\bf Proof of commit generation conditions:}
#1 $\qed$}
+\newcommand{\condproof}[2]{
+
+{\it #1:} #2
+
+}
\newcommand{\statement}[2]{\[\eqn{ #1 }{ #2 }\]}
and set $W \iassign C$.
\commitproof{
- Create Acyclic: by Tip Correct Contents of $L$,
- $L \haspatch \pa E \equiv \pa E = \pd \lor \pa E \isdep \pd$.
- Now $\pd \isdirdep \pc$,
- so by Coherence, and setting $\pa E = \pc$,
- $L \nothaspatch \pc$. I.e. $L \nothaspatch \pq$. OK.
-
+ \condproof{Create Acyclic}{
+ by Tip Correct Contents of $L$,
+ $L \haspatch \pa E \equiv \pa E = \pd \lor \pa E \isdep \pd$.
+ Now $\pd \isdirdep \pc$,
+ so by Coherence, and setting $\pa E = \pc$,
+ $L \nothaspatch \pc$. I.e. $L \nothaspatch \pq$. OK.
+ }
That's everything for Create Base.
}
\set R = \{ W \} \cup \set S^{\pcn}$.
\commitproof{
- Base Only: $\patchof{W} = \patchof{L} = \pn$. OK.
+ \condproof{Base Only}{ $\patchof{W} = \patchof{L} = \pn$. OK. }
- Unique Tips:
- Want to prove that for any $\p \isin C$, $\tipdy$ is a suitable $T$.
- WIP TODO
+ \condproof{Unique Tips}{
+ Want to prove that for any $\p \isin C$, $\tipdy$ is a suitable $T$.
+ WIP TODO
+ }
WIP TODO INCOMPLETE
}