Get the modidx field from a modscope-top.
(modscope-top->modidx x) → modidx
This is an ordinary field accessor created by defprod.
Function:
(defun modscope-top->modidx$inline (x) (declare (xargs :guard (modscope-p x))) (declare (xargs :guard (equal (modscope-kind x) :top))) (let ((__function__ 'modscope-top->modidx)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (modscope-kind x) :top) x))) (nfix (cdr x))) :exec (cdr x))))
Theorem:
(defthm natp-of-modscope-top->modidx (b* ((modidx (modscope-top->modidx$inline x))) (natp modidx)) :rule-classes :type-prescription)
Theorem:
(defthm modscope-top->modidx$inline-of-modscope-fix-x (equal (modscope-top->modidx$inline (modscope-fix x)) (modscope-top->modidx$inline x)))
Theorem:
(defthm modscope-top->modidx$inline-modscope-equiv-congruence-on-x (implies (modscope-equiv x x-equiv) (equal (modscope-top->modidx$inline x) (modscope-top->modidx$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm modscope-top->modidx-when-wrong-kind (implies (not (equal (modscope-kind x) :top)) (equal (modscope-top->modidx x) (nfix nil))))