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Value-struct

Value-struct->flexiblep

Get the flexiblep field from a value-struct.

Signature
(value-struct->flexiblep x) → flexiblep
Arguments: x — Guard (valuep x).
Returns: flexiblep — Type (booleanp flexiblep).

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

Definitions and Theorems

Function: value-struct->flexiblep$inline

(defun value-struct->flexiblep$inline (x)
  (declare (xargs :guard (valuep x)))
  (declare (xargs :guard (equal (value-kind x) :struct)))
  (let ((__function__ 'value-struct->flexiblep))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (value-kind x) :struct) x)))
           (acl2::bool-fix (std::da-nth 2 (cdr x))))
         :exec (std::da-nth 2 (cdr x)))))

Theorem: booleanp-of-value-struct->flexiblep

(defthm booleanp-of-value-struct->flexiblep
  (b* ((flexiblep (value-struct->flexiblep$inline x)))
    (booleanp flexiblep))
  :rule-classes :rewrite)

Theorem: value-struct->flexiblep$inline-of-value-fix-x

(defthm value-struct->flexiblep$inline-of-value-fix-x
  (equal (value-struct->flexiblep$inline (value-fix x))
         (value-struct->flexiblep$inline x)))

Theorem: value-struct->flexiblep$inline-value-equiv-congruence-on-x

(defthm value-struct->flexiblep$inline-value-equiv-congruence-on-x
  (implies (value-equiv x x-equiv)
           (equal (value-struct->flexiblep$inline x)
                  (value-struct->flexiblep$inline x-equiv)))
  :rule-classes :congruence)

Theorem: value-struct->flexiblep-when-wrong-kind

(defthm value-struct->flexiblep-when-wrong-kind
  (implies (not (equal (value-kind x) :struct))
           (equal (value-struct->flexiblep x)
                  (acl2::bool-fix nil))))