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• Statement-if

Statement-if->branches

Get the branches field from a statement-if.

Signature

(statement-if->branches x) → branches

Arguments

x — Guard (statementp x).

Returns

branches — Type (branch-listp branches).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: statement-if->branches$inline

(defun statement-if->branches$inline (x)
  (declare (xargs :guard (statementp x)))
  (declare (xargs :guard (equal (statement-kind x) :if)))
  (let ((__function__ 'statement-if->branches))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (statement-kind x) :if) x))
              (branches (branch-list-fix (std::da-nth 0 (cdr x))))
              (else (statement-list-fix (std::da-nth 1 (cdr x)))))
           (if (consp branches)
               branches
             (list (branch-fix :irrelevant))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: branch-listp-of-statement-if->branches

(defthm branch-listp-of-statement-if->branches
  (b* ((branches (statement-if->branches$inline x)))
    (branch-listp branches))
  :rule-classes :rewrite)

Theorem: statement-if->branches$inline-of-statement-fix-x

(defthm statement-if->branches$inline-of-statement-fix-x
  (equal (statement-if->branches$inline (statement-fix x))
         (statement-if->branches$inline x)))

Theorem: statement-if->branches$inline-statement-equiv-congruence-on-x

(defthm
      statement-if->branches$inline-statement-equiv-congruence-on-x
  (implies (statement-equiv x x-equiv)
           (equal (statement-if->branches$inline x)
                  (statement-if->branches$inline x-equiv)))
  :rule-classes :congruence)

Theorem: statement-if->branches-when-wrong-kind

(defthm statement-if->branches-when-wrong-kind
 (implies
    (not (equal (statement-kind x) :if))
    (equal (statement-if->branches x)
           (b* ((x nil)
                (branches (branch-list-fix (std::da-nth 0 (cdr x))))
                (else (statement-list-fix (std::da-nth 1 (cdr x)))))
             (if (consp branches)
                 branches
               (list (branch-fix :irrelevant)))))))