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