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Statement-increment

Statement-increment->mapping

Get the mapping field from a statement-increment.

Signature
(statement-increment->mapping x) → mapping
Arguments: x — Guard (statementp x).
Returns: mapping — Type (identifierp mapping).

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

Definitions and Theorems

Function: statement-increment->mapping$inline

(defun statement-increment->mapping$inline (x)
  (declare (xargs :guard (statementp x)))
  (declare (xargs :guard (equal (statement-kind x) :increment)))
  (let ((__function__ 'statement-increment->mapping))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (statement-kind x) :increment)
                      x)))
           (identifier-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: identifierp-of-statement-increment->mapping

(defthm identifierp-of-statement-increment->mapping
  (b* ((mapping (statement-increment->mapping$inline x)))
    (identifierp mapping))
  :rule-classes :rewrite)

Theorem: statement-increment->mapping$inline-of-statement-fix-x

(defthm statement-increment->mapping$inline-of-statement-fix-x
  (equal (statement-increment->mapping$inline (statement-fix x))
         (statement-increment->mapping$inline x)))

Theorem: statement-increment->mapping$inline-statement-equiv-congruence-on-x

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

Theorem: statement-increment->mapping-when-wrong-kind

(defthm statement-increment->mapping-when-wrong-kind
  (implies (not (equal (statement-kind x) :increment))
           (equal (statement-increment->mapping x)
                  (identifier-fix nil))))