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