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Var/const-sinfo

Var/const-sinfo->constp

Get the constp field from a var/const-sinfo.

Signature
(var/const-sinfo->constp x) → constp
Arguments: x — Guard (var/const-sinfop x).
Returns: constp — Type (booleanp constp).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: var/const-sinfo->constp$inline

(defun var/const-sinfo->constp$inline (x)
  (declare (xargs :guard (var/const-sinfop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'var/const-sinfo->constp))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::bool-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: booleanp-of-var/const-sinfo->constp

(defthm booleanp-of-var/const-sinfo->constp
  (b* ((constp (var/const-sinfo->constp$inline x)))
    (booleanp constp))
  :rule-classes :rewrite)

Theorem: var/const-sinfo->constp$inline-of-var/const-sinfo-fix-x

(defthm var/const-sinfo->constp$inline-of-var/const-sinfo-fix-x
  (equal (var/const-sinfo->constp$inline (var/const-sinfo-fix x))
         (var/const-sinfo->constp$inline x)))

Theorem: var/const-sinfo->constp$inline-var/const-sinfo-equiv-congruence-on-x

(defthm
 var/const-sinfo->constp$inline-var/const-sinfo-equiv-congruence-on-x
 (implies (var/const-sinfo-equiv x x-equiv)
          (equal (var/const-sinfo->constp$inline x)
                 (var/const-sinfo->constp$inline x-equiv)))
 :rule-classes :congruence)