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