diff --git a/switch_chain_polynomial_mixing_v2.txt b/switch_chain_polynomial_mixing_v2.txt
index 0364349..ba70a81 100644
--- a/switch_chain_polynomial_mixing_v2.txt
+++ b/switch_chain_polynomial_mixing_v2.txt
@@ -25,20 +25,10 @@ That single sentence hides a long and beautiful mathematical story.
 This paper proves the *simple undirected form of the Kannan-Tetali-
 Vempala conjecture*: the switch chain on simple undirected graphs mixes
 in polynomial time for EVERY degree sequence that can actually occur.
-It also gives an EXACT uniform sampler.  What you are reading now is a
-guided tour that keeps every ingredient of the original proof but
-explains each step in plain language, so a diligent high schooler can
-follow along.
+It also gives an EXACT uniform sampler.  
 
---------------------------------------------------------------------------
-HOW TO READ THIS
 --------------------------------------------------------------------------
 
-The paper is structured so that you can stop at any section and still
-have learned something real.  Section 1 fixes vocabulary and states the
-main theorem.  Sections 2-7 are the "engine room": they prove a single
-operator inequality H^2 >= H.  Section 8 converts that into a mixing
-time.  Section 9 upgrades nearby-uniform to exactly uniform.
 
 Three simple objects recur throughout:
 
@@ -59,12 +49,7 @@ The main engine inequality H^2 >= H is proved in two pieces:
 Then Section 8 assembles the two pieces and shows the kernel of H is
 constants, which is what gives a spectral gap.
 
-You do NOT need to understand every technical lemma to follow the arc
-of the argument.  But if you do follow the arc, you will end up knowing
-what a spectral gap is, why mixing time has anything to do with
-eigenvalues, and how to correct the small bias of a Markov chain to
-make sampling exactly uniform.  Those are three of the deepest
-everyday ideas in modern probability, and they are all on show here.
+
 
 --------------------------------------------------------------------------
 SECTION 1. VOCABULARY AND THE MAIN THEOREM