Get the complex field from a tyspecseq-ldouble.
(tyspecseq-ldouble->complex x) → complex
This is an ordinary field accessor created by fty::defprod.
Function:
(defun tyspecseq-ldouble->complex$inline (x) (declare (xargs :guard (tyspecseqp x))) (declare (xargs :guard (equal (tyspecseq-kind x) :ldouble))) (let ((__function__ 'tyspecseq-ldouble->complex)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (tyspecseq-kind x) :ldouble) x))) (acl2::bool-fix (std::da-nth 0 (cdr x)))) :exec (std::da-nth 0 (cdr x)))))
Theorem:
(defthm booleanp-of-tyspecseq-ldouble->complex (b* ((complex (tyspecseq-ldouble->complex$inline x))) (booleanp complex)) :rule-classes :rewrite)
Theorem:
(defthm tyspecseq-ldouble->complex$inline-of-tyspecseq-fix-x (equal (tyspecseq-ldouble->complex$inline (tyspecseq-fix x)) (tyspecseq-ldouble->complex$inline x)))
Theorem:
(defthm tyspecseq-ldouble->complex$inline-tyspecseq-equiv-congruence-on-x (implies (tyspecseq-equiv x x-equiv) (equal (tyspecseq-ldouble->complex$inline x) (tyspecseq-ldouble->complex$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm tyspecseq-ldouble->complex-when-wrong-kind (implies (not (equal (tyspecseq-kind x) :ldouble)) (equal (tyspecseq-ldouble->complex x) (acl2::bool-fix nil))))