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