File: sorts-equivalent3.lisp

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; (certify-book "sorts-equivalent3")

(in-package "ACL2")

(include-book "equisort3")

(include-book "isort")
(include-book "msort")
(include-book "qsort")
(include-book "bsort")

; Matt K.: Disabled forcing after Version  6.1, due to heuristic change that
; allows forcing before a failure from the ancestors check.
(local (in-theory (disable (force))))

(defthm msort-is-isort
  (equal (msort x) (isort x))
  :hints (("Goal" :in-theory (enable equisort))))

(defthm qsort-is-isort
  (equal (qsort x) (isort x))
  :hints (("Goal" :in-theory (enable equisort))))

(defthm bsort-is-isort
  (implies (true-listp x)
           (equal (bsort x) (isort x)))
  :hints (("Goal" :in-theory (e/d (equisort) (bsort isort)))))