[racket] let-syntax referencing inner binding

The code mostly speaks for itself but I'm wondering why the reference to
`test2' is a compilation error.

#lang racket

(define-for-syntax (test)
  (printf "hello from test\n")
  #'1)

(define-for-syntax (do-it stx)
  (define (test2)
    (printf "hello from test2\n")
    #'2)

  ;; ok, prints "hello from test"
  #'(let-syntax ([bar (lambda (s)
                        (test))])
      (bar))

  ;; doesn't compile, compile: identifier used out of context in: test2
  #;
  #'(let-syntax ([bar (lambda (s)
                        (test2))])
      (bar)))

(define-syntax (foo stx)
  (do-it stx))

(foo)

#|
;; this fails because a reference is made to a binding at phase 1 from
phase 0 code
;; compile: identifier used out of context in: p
(define-syntax (xx stx)
  (define p 2)
  #'p)

(xx)
|#