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• Svex-select-part

Svex-select-part->subexp

Get the subexp field from a svex-select-part.

Signature

(svex-select-part->subexp x) → subexp

Arguments

x — Guard (svex-select-p x).

Returns

subexp — Type (svex-select-p subexp).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svex-select-part->subexp$inline

(defun svex-select-part->subexp$inline (x)
 (declare (xargs :guard (svex-select-p x)))
 (declare (xargs :guard (equal (svex-select-kind x) :part)))
 (let ((__function__ 'svex-select-part->subexp))
   (declare (ignorable __function__))
   (mbe :logic
        (b* ((x (and (equal (svex-select-kind x) :part)
                     x)))
          (svex-select-fix (std::prod-cdr (std::prod-cdr (cdr x)))))
        :exec (std::prod-cdr (std::prod-cdr (cdr x))))))

Theorem: svex-select-p-of-svex-select-part->subexp

(defthm svex-select-p-of-svex-select-part->subexp
  (b* ((subexp (svex-select-part->subexp$inline x)))
    (svex-select-p subexp))
  :rule-classes :rewrite)

Theorem: svex-select-part->subexp$inline-of-svex-select-fix-x

(defthm svex-select-part->subexp$inline-of-svex-select-fix-x
  (equal (svex-select-part->subexp$inline (svex-select-fix x))
         (svex-select-part->subexp$inline x)))

Theorem: svex-select-part->subexp$inline-svex-select-equiv-congruence-on-x

(defthm
  svex-select-part->subexp$inline-svex-select-equiv-congruence-on-x
  (implies (svex-select-equiv x x-equiv)
           (equal (svex-select-part->subexp$inline x)
                  (svex-select-part->subexp$inline x-equiv)))
  :rule-classes :congruence)

Theorem: svex-select-part->subexp-when-wrong-kind

(defthm svex-select-part->subexp-when-wrong-kind
  (implies (not (equal (svex-select-kind x) :part))
           (equal (svex-select-part->subexp x)
                  (svex-select-fix nil))))