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• Prune-config

Prune-config->gatesimp

Get the gatesimp field from a prune-config.

Signature

(prune-config->gatesimp x) → gatesimp

Arguments

x — Guard (prune-config-p x).

Returns

gatesimp — Type (gatesimp-p gatesimp).

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

Definitions and Theorems

Function: prune-config->gatesimp$inline

(defun prune-config->gatesimp$inline (x)
  (declare (xargs :guard (prune-config-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'prune-config->gatesimp))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (gatesimp-fix (cdr x)))
         :exec (cdr x))))

Theorem: gatesimp-p-of-prune-config->gatesimp

(defthm gatesimp-p-of-prune-config->gatesimp
  (b* ((gatesimp (prune-config->gatesimp$inline x)))
    (gatesimp-p gatesimp))
  :rule-classes :rewrite)

Theorem: prune-config->gatesimp$inline-of-prune-config-fix-x

(defthm prune-config->gatesimp$inline-of-prune-config-fix-x
  (equal (prune-config->gatesimp$inline (prune-config-fix x))
         (prune-config->gatesimp$inline x)))

Theorem: prune-config->gatesimp$inline-prune-config-equiv-congruence-on-x

(defthm
   prune-config->gatesimp$inline-prune-config-equiv-congruence-on-x
  (implies (prune-config-equiv x x-equiv)
           (equal (prune-config->gatesimp$inline x)
                  (prune-config->gatesimp$inline x-equiv)))
  :rule-classes :congruence)