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    • Input-syntax-abstraction

    Abs-public/private/constants/constant/const/main/registers

    Abstract a ( %s"public" / %s"private" / %s"constants" / %s"constant" / %s"const" / %s"main" / %s"registers" ) to an input title.

    Signature
    (abs-public/private/constants/constant/const/main/registers tree) 
      → 
    intitle
    Arguments
    tree — Guard (abnf::treep tree).
    Returns
    intitle — Type (input-title-option-resultp intitle).

    Definitions and Theorems

    Function: abs-public/private/constants/constant/const/main/registers

    (defun abs-public/private/constants/constant/const/main/registers
           (tree)
     (declare (xargs :guard (abnf::treep tree)))
     (let
      ((__function__
           'abs-public/private/constants/constant/const/main/registers))
      (declare (ignorable __function__))
      (b* (((okf tree)
            (abnf::check-tree-nonleaf-1-1 tree nil))
           ((when (abnf-tree-with-root-p tree "identifier"))
            (cond ((equal (abnf::tree->string tree)
                          (string=>nats "private"))
                   (input-title (var/const-sort-private)))
                  ((equal (abnf::tree->string tree)
                          (string=>nats "main"))
                   (input-title (var/const-sort-private)))
                  ((equal (abnf::tree->string tree)
                          (string=>nats "constants"))
                   (input-title (var/const-sort-const)))
                  ((equal (abnf::tree->string tree)
                          (string=>nats "registers"))
                   nil)
                  (t (reserrf (list :found (abnf::tree-fix tree))))))
           ((unless (abnf::tree-case tree :leafterm))
            (reserrf (list :found (abnf::tree-fix tree))))
           ((when (equal (abnf::tree->string tree)
                         (string=>nats "public")))
            (input-title (var/const-sort-public)))
           ((when (equal (abnf::tree->string tree)
                         (string=>nats "main")))
            (input-title (var/const-sort-public)))
           ((when (equal (abnf::tree->string tree)
                         (string=>nats "registers")))
            (input-title (var/const-sort-public)))
           ((when (equal (abnf::tree->string tree)
                         (string=>nats "constant")))
            (input-title (var/const-sort-constant)))
           ((when (equal (abnf::tree->string tree)
                         (string=>nats "const")))
            (input-title (var/const-sort-const))))
        (reserrf (list :found (abnf::tree-fix tree))))))

    Theorem: input-title-option-resultp-of-abs-public/private/constants/constant/const/main/registers

    (defthm
     input-title-option-resultp-of-abs-public/private/constants/constant/const/main/registers
     (b* ((intitle (abs-public/private/constants/constant/const/main/registers
                        tree)))
       (input-title-option-resultp intitle))
     :rule-classes :rewrite)

    Theorem: abs-public/private/constants/constant/const/main/registers-of-tree-fix-tree

    (defthm
     abs-public/private/constants/constant/const/main/registers-of-tree-fix-tree
     (equal (abs-public/private/constants/constant/const/main/registers
                 (abnf::tree-fix tree))
            (abs-public/private/constants/constant/const/main/registers
                 tree)))

    Theorem: abs-public/private/constants/constant/const/main/registers-tree-equiv-congruence-on-tree

    (defthm
     abs-public/private/constants/constant/const/main/registers-tree-equiv-congruence-on-tree
     (implies
      (abnf::tree-equiv tree tree-equiv)
      (equal
       (abs-public/private/constants/constant/const/main/registers tree)
       (abs-public/private/constants/constant/const/main/registers
            tree-equiv)))
     :rule-classes :congruence)