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• Svstmt-jump

Svstmt-jump->type

Get the type field from a svstmt-jump.

Signature

(svstmt-jump->type x) → type

Arguments

x — Guard (svstmt-p x).

Returns

type — Type (svjump-p type).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svstmt-jump->type$inline

(defun svstmt-jump->type$inline (x)
  (declare (xargs :guard (svstmt-p x)))
  (declare (xargs :guard (equal (svstmt-kind x) :jump)))
  (let ((__function__ 'svstmt-jump->type))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (svstmt-kind x) :jump) x)))
           (svjump-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: svjump-p-of-svstmt-jump->type

(defthm svjump-p-of-svstmt-jump->type
  (b* ((type (svstmt-jump->type$inline x)))
    (svjump-p type))
  :rule-classes
  (:rewrite
       (:forward-chaining :trigger-terms ((svstmt-jump->type x)))))

Theorem: svstmt-jump->type$inline-of-svstmt-fix-x

(defthm svstmt-jump->type$inline-of-svstmt-fix-x
  (equal (svstmt-jump->type$inline (svstmt-fix x))
         (svstmt-jump->type$inline x)))

Theorem: svstmt-jump->type$inline-svstmt-equiv-congruence-on-x

(defthm svstmt-jump->type$inline-svstmt-equiv-congruence-on-x
  (implies (svstmt-equiv x x-equiv)
           (equal (svstmt-jump->type$inline x)
                  (svstmt-jump->type$inline x-equiv)))
  :rule-classes :congruence)

Theorem: svstmt-jump->type-when-wrong-kind

(defthm svstmt-jump->type-when-wrong-kind
  (implies (not (equal (svstmt-kind x) :jump))
           (equal (svstmt-jump->type x)
                  (svjump-fix nil))))