Common coloring across definitions/axioms/statements.

Bookshelf/Apostol/Chapter_1_11.tex

@@ -132,7 +132,7 @@ $\floor{x + y} = \floor{x} + \floor{y}$ or $\floor{x} + \floor{y} + 1$.
 
 \end{proof}
 
-\subsection*{\proceeding{Exercise 4d}}%
+\subsection*{\partial{Exercise 4d}}%
 \label{sub:exercise-4d}
 
 $\floor{2x} = \floor{x} + \floor{x + \frac{1}{2}}.$
@@ -148,7 +148,7 @@ $\floor{2x} = \floor{x} + \floor{x + \frac{1}{2}}.$
 
 \end{proof}
 
-\subsection*{\proceeding{Exercise 4e}}%
+\subsection*{\partial{Exercise 4e}}%
 \label{sub:exercise-4e}
 
 $\floor{3x} = \floor{x} + \floor{x + \frac{1}{3}} + \floor{x + \frac{2}{3}}.$
@@ -164,7 +164,7 @@ $\floor{3x} = \floor{x} + \floor{x + \frac{1}{3}} + \floor{x + \frac{2}{3}}.$
 
 \end{proof}
 
-\section*{\proceeding{Exercise 5}}%
+\section*{\partial{Exercise 5}}%
 \label{sec:exercise-5}
 
 The formulas in Exercises 4(d) and 4(e) suggest a generalization for
@@ -389,7 +389,7 @@ Derive this result by a geometric argument, counting lattice points in a right
 
 \end{proof}
 
-\subsection*{\proceeding{Exercise 7b}}%
+\subsection*{\partial{Exercise 7b}}%
 \label{sub:exercise-7b}
 
 Derive the result analytically as follows:
@@ -432,7 +432,7 @@ Now apply Exercises 4(a) and (b) to the bracket on the right.
 
 \end{proof}
 
-\section*{\proceeding{Exercise 8}}%
+\section*{\partial{Exercise 8}}%
 \label{sec:exercise-8}
 
 Let $S$ be a set of points on the real line.

Bookshelf/Enderton/Chapter_0.tex

@@ -10,7 +10,7 @@
 
 \header{Useful Facts About Sets}{Herbert B. Enderton}
 
-\section*{\proceeding{Lemma 0A}}%
+\section*{\unverified{Lemma 0A}}%
 \label{sec:lemma-0a}
 
 Assume that $\langle x_1, \ldots, x_m \rangle =

Common/Real/Geometry/Area.lean

@@ -94,7 +94,7 @@ axiom rectangle_measurable (R : Rectangle)
 axiom rectangle_area_eq_mul_edge_lengths (R : Rectangle)
   : area (rectangle_measurable R) = R.width * R.height
 
-/-! ## Exhaustion property
+/-! ## Exhaustion Property
 
 Let `Q` be a set that can be enclosed between two step regions `S` and `T`, so
 that (1.1) `S ⊆ Q ⊆ T`. If there is one and only one number `k` which satisfies

Common/Real/Geometry/Area.tex

@@ -71,7 +71,7 @@ If the edges of $R$ have lengths $h$ and $k$, then $a(R) = hk$.
 
 \end{axiom}
 
-\section*{\proceeding{Exhaustion Property}}%
+\section*{\partial{Exhaustion Property}}%
 \label{sec:exhaustion-property}
 
 Let $Q$ be a set that can be enclosed between two step regions $S$ and $T$, so

Common/Real/Sequence/Arithmetic.tex

@@ -8,7 +8,7 @@
 
 \begin{document}
 
-\section{\proceeding{Sum of Arithmetic Series}}%
+\section{\unverified{Sum of Arithmetic Series}}%
 \label{sec:sum-arithmetic-series}
 
 Let $(a_i)_{i \geq 0}$ be an arithmetic sequence with common difference $d$.

Common/Real/Sequence/Geometric.tex

@@ -8,7 +8,7 @@
 
 \begin{document}
 
-\section{\proceeding{Sum of Geometric Series}}%
+\section{\unverified{Sum of Geometric Series}}%
 \label{sec:sum-geometric-series}
 
 Let $(a_i)_{i \geq 0}$ be a geometric sequence with common ratio $r \neq 1$.

DocGen4/Output/Index.lean

@@ -37,23 +37,18 @@ def index : BaseHtmlM Html := do templateExtends (baseHtml "Index") <|
         status:
         <ul>
           <li>
-            <span style="color:darkgray">Dark gray statements </span> indicate
-            axioms and definitions. There must exist a corresponding
-            <code>axiom</code> or <code>def</code> in Lean.
+            <span style="color:teal">Teal statements </span> are those that
+            have been proven or encoded in both LaTeX and Lean.
           </li>
           <li>
-            <span style="color:teal">Teal statements </span> indicate those
-            with complete proofs in both LaTeX <i>and </i> Lean.
+            <span style="color:magenta">Magenta statements </span> are those
+            that have been proven or encoded in LaTeX but not yet verified in
+            Lean.
           </li>
           <li>
-            <span style="color:magenta">Magenta statements </span> indicate
-            those that have not been completely proven in either LaTeX or Lean
-            (or both). Progress is currently being made to correct this though.
-          </li>
-          <li>
-            <span style="color:red">Red coloring </span> is a catch-all for all
+            <span style="color:red">Red </span> serves as a catch-all for all
             statements that don't fit the above categorizations. Incomplete
-            definitions, proofs only conducted in LaTeX, etc. belong here.
+            definitions, statements without proof, etc. belong here.
           </li>
         </ul>
       </p>

preamble.tex

@@ -47,22 +47,20 @@
 % Status
 % ========================================
 
-% Indicates a statement corresponds to an axiom or definition. There must exist
-% a corresponding `axiom` or `def` in Lean.
+% Used for statements encoded in both LaTeX and Lean.
 \DeclareRobustCommand{\defined}[1]{%
-  \texorpdfstring{\color{darkgray}\faParagraph\ #1}{#1}}
+  \texorpdfstring{\color{teal}\faParagraph\ #1}{#1}}
 
-% Indicates a statement has a complete proof in both LaTeX *and* Lean.
+% Used for statements proven in both LaTeX and Lean.
 \DeclareRobustCommand{\verified}[1]{%
   \texorpdfstring{\color{teal}\faCheckCircle\ #1}{#1}}
 
-% Indicates a statement has not been completely proven in either LaTeX or
-% Lean (or both). Progress is currently being made to correct this though.
-\DeclareRobustCommand{\proceeding}[1]{%
-  \texorpdfstring{\color{magenta}\faDotCircle[regular]\ #1}{#1}}
+% Used for statements proven or encoded in LaTeX but not yet in Lean.
+\DeclareRobustCommand{\partial}[1]{%
+  \texorpdfstring{\color{magenta}\faPencil*\ #1}{#1}}
 
-% A catch-all status for anything that doesn't fit the above categories.
-% Incomplete definitions, proofs only conducted in LaTeX, etc. belong here.
+% A catch-all for anything that doesn't fit the above categories. Incomplete
+% definitions, statements without proof, etc. belong here.
 \DeclareRobustCommand{\unverified}[1]{%
   \texorpdfstring{\color{red}\faExclamationCircle\ #1}{#1}}