cat theory tweaks

[lambda.git] / advanced_topics / monads_in_category_theory.mdwn

diff --git a/advanced_topics/monads_in_category_theory.mdwn b/advanced_topics/monads_in_category_theory.mdwn
index 293c7e3..29b6feb 100644 (file)
--- a/advanced_topics/monads_in_category_theory.mdwn
+++ b/advanced_topics/monads_in_category_theory.mdwn
@@ -154,7 +154,7 @@ by naturalness of <code>&eta;</code>, is:
        &phi;[C2] &#8728; &eta;[C2] &#8728; G(f) = J(f) &#8728; &phi;[C1] &#8728; &eta;[C1]
 </pre>
 
-Hence, we can define <code>(&phi; -v- &eta;)[x]</code> as: <code>&phi;[x] &#8728; &eta;[x]</code> and rely on it to satisfy the constraints for a natural transformation from `G` to `J`:
+Hence, we can define <code>(&phi; -v- &eta;)[\_]</code> as: <code>&phi;[\_] &#8728; &eta;[\_]</code> and rely on it to satisfy the constraints for a natural transformation from `G` to `J`:
 
 <pre>
        (&phi; -v- &eta;)[C2] &#8728; G(f) = J(f) &#8728; (&phi; -v- &eta;)[C1]
@@ -173,7 +173,7 @@ I'll assert without proving that vertical composition is associative and has an
 
 <pre>
        (&phi; -h- &eta;)[C1]  =  L(&eta;[C1]) &#8728; &psi;[G(C1)]
-                                          =  &psi;[H(C1)] &#8728; K(&eta;[C1])
+                                 =  &psi;[H(C1)] &#8728; K(&eta;[C1])
 </pre>
 
 Horizontal composition is also associative, and has the same identity as vertical composition.