cat theory tweaks

Signed-off-by: Jim Pryor <profjim@jimpryor.net>

diff --git a/advanced_topics/monads_in_category_theory.mdwn b/advanced_topics/monads_in_category_theory.mdwn
index 402a5e7..588d1a3 100644 (file)
--- a/advanced_topics/monads_in_category_theory.mdwn
+++ b/advanced_topics/monads_in_category_theory.mdwn
@@ -404,16 +404,15 @@ Finally, we substitute <code>((join G') -v- (M &gamma;) -v- &phi;)</code> for <c
                ((join R') (M ((join R') (M &rho;) &gamma;)) &phi;) = ((join R') (M &rho;) (join G') (M &gamma;) &phi;)
     
                        which by the distributivity of functors over composition, and helping ourselves to associativity on the lhs, yields:
-              ((join R') (M join R') (MM &rho;) (M &gamma;) &phi;) = ((join R') (M &rho;) (join G') (M &gamma;) &phi;)
+               ((join R') (M join R') (MM &rho;) (M &gamma;) &phi;) = ((join R') (M &rho;) (join G') (M &gamma;) &phi;)
   
                        which by lemma 1, with &rho; a transformation from G' to MR', yields:
-              ((join R') (M join R') (MM &rho;) (M &gamma;) &phi;) = ((join R') (join MR') (MM &rho;) (M &gamma;) &phi;)
+               ((join R') (M join R') (MM &rho;) (M &gamma;) &phi;) = ((join R') (join MR') (MM &rho;) (M &gamma;) &phi;)
 
-                       which will be true for all &rho;,&gamma;,&phi; just in case:
+                       which will be true for all &rho;,&gamma;,&phi; only when:
                ((join R') (M join R')) = ((join R') (join MR')), for any R'.
 
-                       which will in turn be true just in case:
-
+                       which will in turn be true when:
       (ii') (join (M join)) = (join (join M))