Remove some unnecessary spaces (chktex warnings).

diff --git a/mjo-common.tex b/mjo-common.tex
index fe4ee5264facee2fd54dd657ed107ead679d2195..61ea7c48e7cd8fe0d6ead881d37c5275330b6a0a 100644 (file)
--- a/mjo-common.tex
+++ b/mjo-common.tex
@@ -84,13 +84,13 @@
 %
 
 % The union of its two arguments.
-\providecommand*{\union}[2]{ {#1} \cup {#2} }
+\providecommand*{\union}[2]{ {#1}\cup{#2} }
 
 % A three-argument union.
 \providecommand*{\unionthree}[3]{ \union{\union{#1}{#2}}{#3} }
 
 % The intersection of its two arguments.
-\providecommand*{\intersect}[2]{ {#1} \cap {#2} }
+\providecommand*{\intersect}[2]{ {#1}\cap{#2} }
 
 % A three-argument intersection.
 \providecommand*{\intersectthree}[3]{ \intersect{\intersect{#1}{#2}}{#3} }
@@ -102,11 +102,10 @@
 % the upper index, such as \infty. Finally the fourth argument should
 % contain the things (e.g. indexed sets) to be operated on.
 \providecommand*{\binopmany}[4]{
-  \mathchoice
-  { \underset{#2}{\overset{#3}{#1}}{#4} }
-  { {#1}_{#2}^{#3}{#4} }
-  { {#1}_{#2}^{#3}{#4} }
-  { {#1}_{#2}^{#3}{#4} }
+  \mathchoice{ \underset{#2}{\overset{#3}{#1}}{#4} }
+             { {#1}_{#2}^{#3}{#4} }
+             { {#1}_{#2}^{#3}{#4} }
+             { {#1}_{#2}^{#3}{#4} }
 }
 
 \providecommand*{\unionmany}[3]{ \binopmany{\cup}{#1}{#2}{#3} }

diff --git a/mjo-proof_by_cases.tex b/mjo-proof_by_cases.tex
index d853293d3416b7f5d25f4668e03570ed48a12ab4..ae4b0fc3da355637dc9f5966c52a5e6db8bf70f0 100644 (file)
--- a/mjo-proof_by_cases.tex
+++ b/mjo-proof_by_cases.tex
@@ -26,7 +26,7 @@
 %
 \newlength{\singleblskip}
 \setlength{\singleblskip}{
-  \baselineskip / \real{
+  \baselineskip/\real{
       \if\relax\detokenize{\baselinestretch}\relax
         \baselinestretch%
       \else