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Swcase

Swcase->value

Get the value field from a swcase.

Signature
(swcase->value x) → value
Arguments: x — Guard (swcasep x).
Returns: value — Type (literalp value).

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

Definitions and Theorems

Function: swcase->value$inline

(defun swcase->value$inline (x)
  (declare (xargs :guard (swcasep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'swcase->value))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (literal-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: literalp-of-swcase->value

(defthm literalp-of-swcase->value
  (b* ((value (swcase->value$inline x)))
    (literalp value))
  :rule-classes :rewrite)

Theorem: swcase->value$inline-of-swcase-fix-x

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

Theorem: swcase->value$inline-swcase-equiv-congruence-on-x

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