Get the line field from a position.
This is an ordinary field accessor created by fty::defprod.
Function:
(defun position->line$inline (x) (declare (xargs :guard (positionp x))) (declare (xargs :guard t)) (let ((__function__ 'position->line)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and t x))) (acl2::pos-fix (cdr (std::da-nth 0 x)))) :exec (cdr (std::da-nth 0 x)))))
Theorem:
(defthm posp-of-position->line (b* ((line (position->line$inline x))) (posp line)) :rule-classes :rewrite)
Theorem:
(defthm position->line$inline-of-position-fix-x (equal (position->line$inline (position-fix x)) (position->line$inline x)))
Theorem:
(defthm position->line$inline-position-equiv-congruence-on-x (implies (position-equiv x x-equiv) (equal (position->line$inline x) (position->line$inline x-equiv))) :rule-classes :congruence)