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Inverter

Inverter->output

Get the output field from a inverter.

Signature
(inverter->output x) → output
Arguments: x — Guard (inverter-p x).
Returns: output — Type (sig-path-p output).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: inverter->output$inline

(defun inverter->output$inline (x)
  (declare (xargs :guard (inverter-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'inverter->output))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (sig-path-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: sig-path-p-of-inverter->output

(defthm sig-path-p-of-inverter->output
  (b* ((output (inverter->output$inline x)))
    (sig-path-p output))
  :rule-classes :rewrite)

Theorem: inverter->output$inline-of-inverter-fix-x

(defthm inverter->output$inline-of-inverter-fix-x
  (equal (inverter->output$inline (inverter-fix x))
         (inverter->output$inline x)))

Theorem: inverter->output$inline-inverter-equiv-congruence-on-x

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