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• Parser

Update-parstate->gcc

Signature

(update-parstate->gcc gcc parstate) → parstate

Arguments

gcc — Guard (booleanp gcc).

Returns

parstate — Type (parstatep parstate).

Definitions and Theorems

Function: update-parstate->gcc

(defun update-parstate->gcc (gcc parstate)
  (declare (xargs :stobjs (parstate)))
  (declare (xargs :guard (booleanp gcc)))
  (let ((__function__ 'update-parstate->gcc))
    (declare (ignorable __function__))
    (b* ((parstate (parstate-fix parstate)))
      (raw-update-parstate->gcc (bool-fix gcc)
                                parstate))))

Theorem: parstatep-of-update-parstate->gcc

(defthm parstatep-of-update-parstate->gcc
  (b* ((parstate (update-parstate->gcc gcc parstate)))
    (parstatep parstate))
  :rule-classes :rewrite)

Theorem: update-parstate->gcc-of-bool-fix-gcc

(defthm update-parstate->gcc-of-bool-fix-gcc
  (equal (update-parstate->gcc (bool-fix gcc)
                               parstate)
         (update-parstate->gcc gcc parstate)))

Theorem: update-parstate->gcc-iff-congruence-on-gcc

(defthm update-parstate->gcc-iff-congruence-on-gcc
  (implies (iff gcc gcc-equiv)
           (equal (update-parstate->gcc gcc parstate)
                  (update-parstate->gcc gcc-equiv parstate)))
  :rule-classes :congruence)

Theorem: update-parstate->gcc-of-parstate-fix-parstate

(defthm update-parstate->gcc-of-parstate-fix-parstate
  (equal (update-parstate->gcc gcc (parstate-fix parstate))
         (update-parstate->gcc gcc parstate)))

Theorem: update-parstate->gcc-parstate-equiv-congruence-on-parstate

(defthm update-parstate->gcc-parstate-equiv-congruence-on-parstate
  (implies (parstate-equiv parstate parstate-equiv)
           (equal (update-parstate->gcc gcc parstate)
                  (update-parstate->gcc gcc parstate-equiv)))
  :rule-classes :congruence)