		Search-engine friendly clone of the ACL2 documentation.

Grammar-old

Ocst-%x0-9-nat

Signature
(ocst-%x0-9-nat abnf::cst) → nat
Arguments: abnf::cst — Guard (abnf::treep abnf::cst).
Returns: nat — Type (natp nat).

Definitions and Theorems

Function: ocst-%x0-9-nat

(defun ocst-%x0-9-nat (abnf::cst)
  (declare (xargs :guard (abnf::treep abnf::cst)))
  (declare (xargs :guard (ocst-matchp abnf::cst "%x0-9")))
  (let ((__function__ 'ocst-%x0-9-nat))
    (declare (ignorable __function__))
    (acl2::lnfix (nth 0
                      (abnf::tree-leafterm->get abnf::cst)))))

Theorem: natp-of-ocst-%x0-9-nat

(defthm natp-of-ocst-%x0-9-nat
  (b* ((nat (ocst-%x0-9-nat abnf::cst)))
    (natp nat))
  :rule-classes :rewrite)

Theorem: ocst-%x0-9-nat-of-tree-fix-cst

(defthm ocst-%x0-9-nat-of-tree-fix-cst
  (equal (ocst-%x0-9-nat (abnf::tree-fix abnf::cst))
         (ocst-%x0-9-nat abnf::cst)))

Theorem: ocst-%x0-9-nat-tree-equiv-congruence-on-cst

(defthm ocst-%x0-9-nat-tree-equiv-congruence-on-cst
  (implies (abnf::tree-equiv abnf::cst cst-equiv)
           (equal (ocst-%x0-9-nat abnf::cst)
                  (ocst-%x0-9-nat cst-equiv)))
  :rule-classes :congruence)