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Expr-offsetof

Expr-offsetof->member

Get the member field from a expr-offsetof.

Signature
(expr-offsetof->member x) → member
Arguments: x — Guard (exprp x).
Returns: member — Type (member-designorp member).

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

Definitions and Theorems

Function: expr-offsetof->member$inline

(defun expr-offsetof->member$inline (x)
  (declare (xargs :guard (exprp x)))
  (declare (xargs :guard (equal (expr-kind x) :offsetof)))
  (mbe :logic
       (b* ((x (and (equal (expr-kind x) :offsetof)
                    x)))
         (member-designor-fix (cdr (cdr x))))
       :exec (cdr (cdr x))))

Theorem: member-designorp-of-expr-offsetof->member

(defthm member-designorp-of-expr-offsetof->member
  (b* ((member (expr-offsetof->member$inline x)))
    (member-designorp member))
  :rule-classes :rewrite)

Theorem: expr-offsetof->member$inline-of-expr-fix-x

(defthm expr-offsetof->member$inline-of-expr-fix-x
  (equal (expr-offsetof->member$inline (expr-fix x))
         (expr-offsetof->member$inline x)))

Theorem: expr-offsetof->member$inline-expr-equiv-congruence-on-x

(defthm expr-offsetof->member$inline-expr-equiv-congruence-on-x
  (implies (expr-equiv x x-equiv)
           (equal (expr-offsetof->member$inline x)
                  (expr-offsetof->member$inline x-equiv)))
  :rule-classes :congruence)

Theorem: expr-offsetof->member-when-wrong-kind

(defthm expr-offsetof->member-when-wrong-kind
  (implies (not (equal (expr-kind x) :offsetof))
           (equal (expr-offsetof->member x)
                  (member-designor-fix nil))))