Get the assoc field from a expr-gensel.
(expr-gensel->assoc x) → assoc
This is an ordinary field accessor created by fty::defprod.
Function:
(defun expr-gensel->assoc$inline (x) (declare (xargs :guard (exprp x))) (declare (xargs :guard (equal (expr-kind x) :gensel))) (let ((__function__ 'expr-gensel->assoc)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (expr-kind x) :gensel) x))) (genassoc-list-fix (std::da-nth 1 (cdr x)))) :exec (std::da-nth 1 (cdr x)))))
Theorem:
(defthm genassoc-listp-of-expr-gensel->assoc (b* ((assoc (expr-gensel->assoc$inline x))) (genassoc-listp assoc)) :rule-classes :rewrite)
Theorem:
(defthm expr-gensel->assoc$inline-of-expr-fix-x (equal (expr-gensel->assoc$inline (expr-fix x)) (expr-gensel->assoc$inline x)))
Theorem:
(defthm expr-gensel->assoc$inline-expr-equiv-congruence-on-x (implies (expr-equiv x x-equiv) (equal (expr-gensel->assoc$inline x) (expr-gensel->assoc$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm expr-gensel->assoc-when-wrong-kind (implies (not (equal (expr-kind x) :gensel)) (equal (expr-gensel->assoc x) (genassoc-list-fix nil))))