I am a newbie to Clojure, so have some confusion around lexical
scoping especially when "let" is used in a recursive function call. To
be more precise, I am taking the example memoize() function used for
explaining the concept of atom at clojure.org.

Here is how it is explained:

(defn memoize [f]
  (let [mem (atom {})]
    (fn [& args]
      (if-let [e (find @mem args)]
        (val e)
        (let [ret (apply f args)]
          (swap! mem assoc args ret)
          ret)))))

(defn fib [n]
  (if (<= n 1)
    n
    (+ (fib (dec n)) (fib (- n 2)))))

(time (fib 35))
user=> "Elapsed time: 941.445 msecs"

(def fib (memoize fib))

(time (fib 35))

user=> "Elapsed time: 0.044 msecs"

My question is when "let" is used in this context, wouldn't it create
a fresh binding to a new atom{}? Any explanation would be highly
appreciated.

Thanks.

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