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• Svex-select-part

Svex-select-part->lsb

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

Signature

(svex-select-part->lsb x) → lsb

Arguments

x — Guard (svex-select-p x).

Returns

lsb — Type (svex-p lsb).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

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

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

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

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

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

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

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

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

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

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