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