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Jliteral-boolean

Jliteral-boolean->value

Get the value field from a jliteral-boolean.

Signature
(jliteral-boolean->value x) → value
Arguments: x — Guard (jliteralp x).
Returns: value — Type (booleanp value).

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

Definitions and Theorems

Function: jliteral-boolean->value$inline

(defun jliteral-boolean->value$inline (x)
  (declare (xargs :guard (jliteralp x)))
  (declare (xargs :guard (equal (jliteral-kind x) :boolean)))
  (let ((__function__ 'jliteral-boolean->value))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (jliteral-kind x) :boolean)
                      x)))
           (acl2::bool-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: booleanp-of-jliteral-boolean->value

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

Theorem: jliteral-boolean->value$inline-of-jliteral-fix-x

(defthm jliteral-boolean->value$inline-of-jliteral-fix-x
  (equal (jliteral-boolean->value$inline (jliteral-fix x))
         (jliteral-boolean->value$inline x)))

Theorem: jliteral-boolean->value$inline-jliteral-equiv-congruence-on-x

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

Theorem: jliteral-boolean->value-when-wrong-kind

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