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Declor

Declor->direct

Get the direct field from a declor.

Signature
(declor->direct x) → direct
Arguments: x — Guard (declorp x).
Returns: direct — Type (dirdeclorp direct).

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

Definitions and Theorems

Function: declor->direct$inline

(defun declor->direct$inline (x)
  (declare (xargs :guard (declorp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (dirdeclor-fix (cdr x)))
       :exec (cdr x)))

Theorem: dirdeclorp-of-declor->direct

(defthm dirdeclorp-of-declor->direct
  (b* ((direct (declor->direct$inline x)))
    (dirdeclorp direct))
  :rule-classes :rewrite)

Theorem: declor->direct$inline-of-declor-fix-x

(defthm declor->direct$inline-of-declor-fix-x
  (equal (declor->direct$inline (declor-fix x))
         (declor->direct$inline x)))

Theorem: declor->direct$inline-declor-equiv-congruence-on-x

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