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Absdeclor

Absdeclor->direct?

Get the direct? field from a absdeclor.

Signature
(absdeclor->direct? x) → direct?
Arguments: x — Guard (absdeclorp x).
Returns: direct? — Type (dirabsdeclor-optionp direct?).

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

Definitions and Theorems

Function: absdeclor->direct?$inline

(defun absdeclor->direct?$inline (x)
  (declare (xargs :guard (absdeclorp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (dirabsdeclor-option-fix (cdr x)))
       :exec (cdr x)))

Theorem: dirabsdeclor-optionp-of-absdeclor->direct?

(defthm dirabsdeclor-optionp-of-absdeclor->direct?
  (b* ((direct? (absdeclor->direct?$inline x)))
    (dirabsdeclor-optionp direct?))
  :rule-classes :rewrite)

Theorem: absdeclor->direct?$inline-of-absdeclor-fix-x

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

Theorem: absdeclor->direct?$inline-absdeclor-equiv-congruence-on-x

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