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Block-item-ambig

Block-item-ambig->declon/stmt

Get the declon/stmt field from a block-item-ambig.

Signature
(block-item-ambig->declon/stmt x) → declon/stmt
Arguments: x — Guard (block-itemp x).
Returns: declon/stmt — Type (amb-declon/stmt-p declon/stmt).

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

Definitions and Theorems

Function: block-item-ambig->declon/stmt$inline

(defun block-item-ambig->declon/stmt$inline (x)
  (declare (xargs :guard (block-itemp x)))
  (declare (xargs :guard (equal (block-item-kind x) :ambig)))
  (mbe :logic
       (b* ((x (and (equal (block-item-kind x) :ambig)
                    x)))
         (amb-declon/stmt-fix (cdr x)))
       :exec (cdr x)))

Theorem: amb-declon/stmt-p-of-block-item-ambig->declon/stmt

(defthm amb-declon/stmt-p-of-block-item-ambig->declon/stmt
  (b* ((declon/stmt (block-item-ambig->declon/stmt$inline x)))
    (amb-declon/stmt-p declon/stmt))
  :rule-classes :rewrite)

Theorem: block-item-ambig->declon/stmt$inline-of-block-item-fix-x

(defthm block-item-ambig->declon/stmt$inline-of-block-item-fix-x
  (equal (block-item-ambig->declon/stmt$inline (block-item-fix x))
         (block-item-ambig->declon/stmt$inline x)))

Theorem: block-item-ambig->declon/stmt$inline-block-item-equiv-congruence-on-x

(defthm
 block-item-ambig->declon/stmt$inline-block-item-equiv-congruence-on-x
 (implies (block-item-equiv x x-equiv)
          (equal (block-item-ambig->declon/stmt$inline x)
                 (block-item-ambig->declon/stmt$inline x-equiv)))
 :rule-classes :congruence)

Theorem: block-item-ambig->declon/stmt-when-wrong-kind

(defthm block-item-ambig->declon/stmt-when-wrong-kind
  (implies (not (equal (block-item-kind x) :ambig))
           (equal (block-item-ambig->declon/stmt x)
                  (amb-declon/stmt-fix nil))))