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• Ctrex-rule

Ctrex-rule->dep-success-vars

Get the dep-success-vars field from a ctrex-rule.

Signature

(ctrex-rule->dep-success-vars x) → dep-success-vars

Arguments

x — Guard (ctrex-rule-p x).

Returns

dep-success-vars — Type (pseudo-term-subst-p dep-success-vars).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: ctrex-rule->dep-success-vars$inline

(defun ctrex-rule->dep-success-vars$inline (x)
  (declare (xargs :guard (ctrex-rule-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'ctrex-rule->dep-success-vars))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (pseudo-term-subst-fix (cdr (std::da-nth 5 x))))
         :exec (cdr (std::da-nth 5 x)))))

Theorem: pseudo-term-subst-p-of-ctrex-rule->dep-success-vars

(defthm pseudo-term-subst-p-of-ctrex-rule->dep-success-vars
  (b* ((dep-success-vars (ctrex-rule->dep-success-vars$inline x)))
    (pseudo-term-subst-p dep-success-vars))
  :rule-classes :rewrite)

Theorem: ctrex-rule->dep-success-vars$inline-of-ctrex-rule-fix-x

(defthm ctrex-rule->dep-success-vars$inline-of-ctrex-rule-fix-x
  (equal (ctrex-rule->dep-success-vars$inline (ctrex-rule-fix x))
         (ctrex-rule->dep-success-vars$inline x)))

Theorem: ctrex-rule->dep-success-vars$inline-ctrex-rule-equiv-congruence-on-x

(defthm
 ctrex-rule->dep-success-vars$inline-ctrex-rule-equiv-congruence-on-x
 (implies (ctrex-rule-equiv x x-equiv)
          (equal (ctrex-rule->dep-success-vars$inline x)
                 (ctrex-rule->dep-success-vars$inline x-equiv)))
 :rule-classes :congruence)