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• Ctrex-rule

Ctrex-rule->unify-subst

Get the unify-subst field from a ctrex-rule.

Signature

(ctrex-rule->unify-subst x) → unify-subst

Arguments

x — Guard (ctrex-rule-p x).

Returns

unify-subst — Type (fgl-object-bindings-p unify-subst).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: ctrex-rule->unify-subst$inline

(defun ctrex-rule->unify-subst$inline (x)
  (declare (xargs :guard (ctrex-rule-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'ctrex-rule->unify-subst))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (fgl-object-bindings-fix (cdr (std::da-nth 2 x))))
         :exec (cdr (std::da-nth 2 x)))))

Theorem: fgl-object-bindings-p-of-ctrex-rule->unify-subst

(defthm fgl-object-bindings-p-of-ctrex-rule->unify-subst
  (b* ((unify-subst (ctrex-rule->unify-subst$inline x)))
    (fgl-object-bindings-p unify-subst))
  :rule-classes :rewrite)

Theorem: ctrex-rule->unify-subst$inline-of-ctrex-rule-fix-x

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

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

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