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Assertion

Assertion->constr

Get the constr field from a assertion.

Signature
(assertion->constr x) → constr
Arguments: x — Guard (assertionp x).
Returns: constr — Type (constraintp constr).

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

Definitions and Theorems

Function: assertion->constr$inline

(defun assertion->constr$inline (x)
  (declare (xargs :guard (assertionp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'assertion->constr))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (constraint-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: constraintp-of-assertion->constr

(defthm constraintp-of-assertion->constr
  (b* ((constr (assertion->constr$inline x)))
    (constraintp constr))
  :rule-classes :rewrite)

Theorem: assertion->constr$inline-of-assertion-fix-x

(defthm assertion->constr$inline-of-assertion-fix-x
  (equal (assertion->constr$inline (assertion-fix x))
         (assertion->constr$inline x)))

Theorem: assertion->constr$inline-assertion-equiv-congruence-on-x

(defthm assertion->constr$inline-assertion-equiv-congruence-on-x
  (implies (assertion-equiv x x-equiv)
           (equal (assertion->constr$inline x)
                  (assertion->constr$inline x-equiv)))
  :rule-classes :congruence)