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    • Sv::vl-expr.lisp

    Constraintlist-add-ctx

    Signature
    (constraintlist-add-ctx x ctx) → new-x
    Arguments
    x — Guard (sv::constraintlist-p x).
    Returns
    new-x — Type (sv::constraintlist-p new-x).

    Definitions and Theorems

    Function: constraintlist-add-ctx

    (defun constraintlist-add-ctx (x ctx)
      (declare (xargs :guard (sv::constraintlist-p x)))
      (let ((__function__ 'constraintlist-add-ctx))
        (declare (ignorable __function__))
        (if (atom x)
            nil
          (cons (b* (((sv::constraint x1) (car x)))
                  (sv::change-constraint x1 :name
                                         (if (and ctx (atom x1.name))
                                             (cons ctx x1.name)
                                           x1.name)))
                (constraintlist-add-ctx (cdr x) ctx)))))

    Theorem: constraintlist-p-of-constraintlist-add-ctx

    (defthm constraintlist-p-of-constraintlist-add-ctx
      (b* ((new-x (constraintlist-add-ctx x ctx)))
        (sv::constraintlist-p new-x))
      :rule-classes :rewrite)

    Theorem: constraintlist-add-ctx-of-append

    (defthm constraintlist-add-ctx-of-append
      (equal (constraintlist-add-ctx (append x y)
                                     ctx)
             (append (constraintlist-add-ctx x ctx)
                     (constraintlist-add-ctx y ctx))))

    Theorem: constraintlist-add-ctx-of-atom

    (defthm constraintlist-add-ctx-of-atom
      (implies (atom x)
               (equal (constraintlist-add-ctx x ctx)
                      nil))
      :rule-classes ((:rewrite :backchain-limit-lst 1)))

    Theorem: constraintlist-add-ctx-of-null-ctx

    (defthm constraintlist-add-ctx-of-null-ctx
      (equal (constraintlist-add-ctx constraints nil)
             (list-fix (sv::constraintlist-fix constraints))))

    Theorem: constraintlist-add-ctx-of-constraintlist-fix-x

    (defthm constraintlist-add-ctx-of-constraintlist-fix-x
      (equal (constraintlist-add-ctx (sv::constraintlist-fix x)
                                     ctx)
             (constraintlist-add-ctx x ctx)))

    Theorem: constraintlist-add-ctx-constraintlist-equiv-congruence-on-x

    (defthm constraintlist-add-ctx-constraintlist-equiv-congruence-on-x
      (implies (sv::constraintlist-equiv x x-equiv)
               (equal (constraintlist-add-ctx x ctx)
                      (constraintlist-add-ctx x-equiv ctx)))
      :rule-classes :congruence)