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• Ctrex-rule

Ctrex-rule->deps

Get the deps field from a ctrex-rule.

Signature

(ctrex-rule->deps x) → deps

Arguments

x — Guard (ctrex-rule-p x).

Returns

deps — Type (pseudo-term-subst-p deps).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: ctrex-rule->deps$inline

(defun ctrex-rule->deps$inline (x)
  (declare (xargs :guard (ctrex-rule-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'ctrex-rule->deps))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (pseudo-term-subst-fix (cdr (std::da-nth 4 x))))
         :exec (cdr (std::da-nth 4 x)))))

Theorem: pseudo-term-subst-p-of-ctrex-rule->deps

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

Theorem: ctrex-rule->deps$inline-of-ctrex-rule-fix-x

(defthm ctrex-rule->deps$inline-of-ctrex-rule-fix-x
  (equal (ctrex-rule->deps$inline (ctrex-rule-fix x))
         (ctrex-rule->deps$inline x)))

Theorem: ctrex-rule->deps$inline-ctrex-rule-equiv-congruence-on-x

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