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• Edgesynth

Vl-modulelist-edgesynth-aux

Signature

(vl-modulelist-edgesynth-aux x &key vecp) → (mv new-x addmods)

Arguments

x — Guard (vl-modulelist-p x).

Returns

new-x — Type (vl-modulelist-p new-x), given the guard.

addmods — Type (vl-modulelist-p addmods), given the guard.

Definitions and Theorems

Function: vl-modulelist-edgesynth-aux-fn

(defun vl-modulelist-edgesynth-aux-fn (x vecp)
  (declare (xargs :guard (vl-modulelist-p x)))
  (let ((__function__ 'vl-modulelist-edgesynth-aux))
    (declare (ignorable __function__))
    (b* (((when (atom x)) (mv nil nil))
         ((mv car addmods1)
          (vl-module-edgesynth (car x)
                               :vecp vecp))
         ((mv cdr addmods2)
          (vl-modulelist-edgesynth-aux (cdr x)
                                       :vecp vecp)))
      (mv (cons car cdr)
          (append-without-guard addmods1 addmods2)))))

Theorem: vl-modulelist-p-of-vl-modulelist-edgesynth-aux.new-x

(defthm vl-modulelist-p-of-vl-modulelist-edgesynth-aux.new-x
  (implies (and (force (vl-modulelist-p x)))
           (b* (((mv ?new-x ?addmods)
                 (vl-modulelist-edgesynth-aux-fn x vecp)))
             (vl-modulelist-p new-x)))
  :rule-classes :rewrite)

Theorem: vl-modulelist-p-of-vl-modulelist-edgesynth-aux.addmods

(defthm vl-modulelist-p-of-vl-modulelist-edgesynth-aux.addmods
  (implies (and (force (vl-modulelist-p x)))
           (b* (((mv ?new-x ?addmods)
                 (vl-modulelist-edgesynth-aux-fn x vecp)))
             (vl-modulelist-p addmods)))
  :rule-classes :rewrite)