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    • Input-execution

    Eval-input-item-list

    Evaluate a list of input items.

    Signature
    (eval-input-item-list initems intitle curve) → funargs
    Arguments
    initems — Guard (input-item-listp initems).
    intitle — Guard (input-titlep intitle).
    curve — Guard (curvep curve).
    Returns
    funargs — Type (funarg-list-resultp funargs).

    We evaluate them one after the other, returning a corresponding list of function arguments. We stop as soon as there is an error.

    Definitions and Theorems

    Function: eval-input-item-list

    (defun eval-input-item-list (initems intitle curve)
      (declare (xargs :guard (and (input-item-listp initems)
                                  (input-titlep intitle)
                                  (curvep curve))))
      (let ((__function__ 'eval-input-item-list))
        (declare (ignorable __function__))
        (b* (((when (endp initems)) nil)
             ((okf funarg)
              (eval-input-item (car initems)
                               intitle curve))
             ((okf funargs)
              (eval-input-item-list (cdr initems)
                                    intitle curve)))
          (cons funarg funargs))))

    Theorem: funarg-list-resultp-of-eval-input-item-list

    (defthm funarg-list-resultp-of-eval-input-item-list
      (b* ((funargs (eval-input-item-list initems intitle curve)))
        (funarg-list-resultp funargs))
      :rule-classes :rewrite)

    Theorem: eval-input-item-list-of-input-item-list-fix-initems

    (defthm eval-input-item-list-of-input-item-list-fix-initems
      (equal (eval-input-item-list (input-item-list-fix initems)
                                   intitle curve)
             (eval-input-item-list initems intitle curve)))

    Theorem: eval-input-item-list-input-item-list-equiv-congruence-on-initems

    (defthm
       eval-input-item-list-input-item-list-equiv-congruence-on-initems
      (implies
           (input-item-list-equiv initems initems-equiv)
           (equal (eval-input-item-list initems intitle curve)
                  (eval-input-item-list initems-equiv intitle curve)))
      :rule-classes :congruence)

    Theorem: eval-input-item-list-of-input-title-fix-intitle

    (defthm eval-input-item-list-of-input-title-fix-intitle
      (equal (eval-input-item-list initems (input-title-fix intitle)
                                   curve)
             (eval-input-item-list initems intitle curve)))

    Theorem: eval-input-item-list-input-title-equiv-congruence-on-intitle

    (defthm eval-input-item-list-input-title-equiv-congruence-on-intitle
      (implies
           (input-title-equiv intitle intitle-equiv)
           (equal (eval-input-item-list initems intitle curve)
                  (eval-input-item-list initems intitle-equiv curve)))
      :rule-classes :congruence)

    Theorem: eval-input-item-list-of-curve-fix-curve

    (defthm eval-input-item-list-of-curve-fix-curve
      (equal (eval-input-item-list initems intitle (curve-fix curve))
             (eval-input-item-list initems intitle curve)))

    Theorem: eval-input-item-list-curve-equiv-congruence-on-curve

    (defthm eval-input-item-list-curve-equiv-congruence-on-curve
      (implies
           (curve-equiv curve curve-equiv)
           (equal (eval-input-item-list initems intitle curve)
                  (eval-input-item-list initems intitle curve-equiv)))
      :rule-classes :congruence)