Get the branches field from a expression-cond.
(expression-cond->branches x) → branches
This is an ordinary field accessor created by fty::defprod.
Function:
(defun expression-cond->branches$inline (x) (declare (xargs :guard (expressionp x))) (declare (xargs :guard (equal (expression-kind x) :cond))) (let ((__function__ 'expression-cond->branches)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (expression-kind x) :cond) x))) (branch-list-fix (std::da-nth 0 (cdr x)))) :exec (std::da-nth 0 (cdr x)))))
Theorem:
(defthm branch-listp-of-expression-cond->branches (b* ((branches (expression-cond->branches$inline x))) (branch-listp branches)) :rule-classes :rewrite)
Theorem:
(defthm expression-cond->branches$inline-of-expression-fix-x (equal (expression-cond->branches$inline (expression-fix x)) (expression-cond->branches$inline x)))
Theorem:
(defthm expression-cond->branches$inline-expression-equiv-congruence-on-x (implies (expression-equiv x x-equiv) (equal (expression-cond->branches$inline x) (expression-cond->branches$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm expression-cond->branches-when-wrong-kind (implies (not (equal (expression-kind x) :cond)) (equal (expression-cond->branches x) (branch-list-fix nil))))