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    • Pseudo-lambda

    Pseudo-lambda->formals

    Signature
    (pseudo-lambda->formals x) → formals
    Arguments
    x — Guard (pseudo-lambda-p x).
    Returns
    formals — Type (symbol-listp formals).

    Definitions and Theorems

    Function: pseudo-lambda->formals

    (defun pseudo-lambda->formals (x)
      (declare (xargs :guard (pseudo-lambda-p x)))
      (let ((__function__ 'pseudo-lambda->formals))
        (declare (ignorable __function__))
        (mbe :logic (replace-non-symbols-with-nil (cadr x))
             :exec (cadr x))))

    Theorem: symbol-listp-of-pseudo-lambda->formals

    (defthm symbol-listp-of-pseudo-lambda->formals
      (b* ((formals (pseudo-lambda->formals x)))
        (symbol-listp formals))
      :rule-classes :rewrite)

    Theorem: pseudo-lambda->formals-of-pseudo-lambda-fix-x

    (defthm pseudo-lambda->formals-of-pseudo-lambda-fix-x
      (equal (pseudo-lambda->formals (pseudo-lambda-fix x))
             (pseudo-lambda->formals x)))

    Theorem: pseudo-lambda->formals-pseudo-lambda-equiv-congruence-on-x

    (defthm pseudo-lambda->formals-pseudo-lambda-equiv-congruence-on-x
      (implies (pseudo-lambda-equiv x x-equiv)
               (equal (pseudo-lambda->formals x)
                      (pseudo-lambda->formals x-equiv)))
      :rule-classes :congruence)