		Search-engine friendly clone of the ACL2 documentation.

Syntax-abstraction

Abs-mapping-declaration

Abstract a mapping-declaration to a mapping declaration.

Signature
(abs-mapping-declaration tree) → mappingdef
Arguments: tree — Guard (abnf::treep tree).
Returns: mappingdef — Type (mappingdecl-resultp mappingdef).

Definitions and Theorems

Function: abs-mapping-declaration

(defun abs-mapping-declaration (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-mapping-declaration))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple7 sub))
          (abnf::check-tree-nonleaf-7 tree "mapping-declaration"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.1st))
         ((okf &)
          (abnf::check-tree-schars tree "mapping"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.2nd))
         ((okf name) (abs-identifier tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.3rd))
         ((okf &)
          (abnf::check-tree-schars tree ":"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.4th))
         ((okf domtype) (abs-type tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.5th))
         ((okf &)
          (abnf::check-tree-schars tree "=>"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.6th))
         ((okf rngtype) (abs-type tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.7th))
         ((okf &)
          (abnf::check-tree-schars tree ";")))
      (make-mappingdecl :name name
                        :domain-type domtype
                        :range-type rngtype))))

Theorem: mappingdecl-resultp-of-abs-mapping-declaration

(defthm mappingdecl-resultp-of-abs-mapping-declaration
  (b* ((mappingdef (abs-mapping-declaration tree)))
    (mappingdecl-resultp mappingdef))
  :rule-classes :rewrite)

Theorem: abs-mapping-declaration-of-tree-fix-tree

(defthm abs-mapping-declaration-of-tree-fix-tree
  (equal (abs-mapping-declaration (abnf::tree-fix tree))
         (abs-mapping-declaration tree)))

Theorem: abs-mapping-declaration-tree-equiv-congruence-on-tree

(defthm abs-mapping-declaration-tree-equiv-congruence-on-tree
  (implies (abnf::tree-equiv tree tree-equiv)
           (equal (abs-mapping-declaration tree)
                  (abs-mapping-declaration tree-equiv)))
  :rule-classes :congruence)