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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)