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• Literal-boolean

Literal-boolean->get

Get the get field from a literal-boolean.

Signature

(literal-boolean->get x) → get

Arguments

x — Guard (literalp x).

Returns

get — Type (booleanp get).

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

Definitions and Theorems

Function: literal-boolean->get$inline

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

Theorem: booleanp-of-literal-boolean->get

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

Theorem: literal-boolean->get$inline-of-literal-fix-x

(defthm literal-boolean->get$inline-of-literal-fix-x
  (equal (literal-boolean->get$inline (literal-fix x))
         (literal-boolean->get$inline x)))

Theorem: literal-boolean->get$inline-literal-equiv-congruence-on-x

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

Theorem: literal-boolean->get-when-wrong-kind

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