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Block-item-declon

Block-item-declon->declon

Get the declon field from a block-item-declon.

Signature
(block-item-declon->declon x) → declon
Arguments: x — Guard (block-itemp x).
Returns: declon — Type (declonp declon).

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

Definitions and Theorems

Function: block-item-declon->declon$inline

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

Theorem: declonp-of-block-item-declon->declon

(defthm declonp-of-block-item-declon->declon
  (b* ((declon (block-item-declon->declon$inline x)))
    (declonp declon))
  :rule-classes :rewrite)

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

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

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

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

Theorem: block-item-declon->declon-when-wrong-kind

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