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