		Search-engine friendly clone of the ACL2 documentation.

Input-syntax-abstraction

Abs-input-type

Abstract an input-type to an input type.

Signature
(abs-input-type tree) → intype
Arguments: tree — Guard (abnf::treep tree).
Returns: intype — Type (input-type-resultp intype).

Definitions and Theorems

Function: abs-input-type

(defun abs-input-type (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-input-type))
    (declare (ignorable __function__))
    (b* (((okf tree)
          (abnf::check-tree-nonleaf-1-1 tree "input-type"))
         ((okf type) (abs-type tree)))
      (input-type type))))

Theorem: input-type-resultp-of-abs-input-type

(defthm input-type-resultp-of-abs-input-type
  (b* ((intype (abs-input-type tree)))
    (input-type-resultp intype))
  :rule-classes :rewrite)

Theorem: abs-input-type-of-tree-fix-tree

(defthm abs-input-type-of-tree-fix-tree
  (equal (abs-input-type (abnf::tree-fix tree))
         (abs-input-type tree)))

Theorem: abs-input-type-tree-equiv-congruence-on-tree

(defthm abs-input-type-tree-equiv-congruence-on-tree
  (implies (abnf::tree-equiv tree tree-equiv)
           (equal (abs-input-type tree)
                  (abs-input-type tree-equiv)))
  :rule-classes :congruence)