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Structdecl-member

Structdecl-member->declor

Get the declor field from a structdecl-member.

Signature
(structdecl-member->declor x) → declor
Arguments: x — Guard (structdeclp x).
Returns: declor — Type (structdeclor-listp declor).

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

Definitions and Theorems

Function: structdecl-member->declor$inline

(defun structdecl-member->declor$inline (x)
  (declare (xargs :guard (structdeclp x)))
  (declare (xargs :guard (equal (structdecl-kind x) :member)))
  (let ((__function__ 'structdecl-member->declor))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (structdecl-kind x) :member)
                      x)))
           (structdeclor-list-fix (std::da-nth 2 (cdr x))))
         :exec (std::da-nth 2 (cdr x)))))

Theorem: structdeclor-listp-of-structdecl-member->declor

(defthm structdeclor-listp-of-structdecl-member->declor
  (b* ((declor (structdecl-member->declor$inline x)))
    (structdeclor-listp declor))
  :rule-classes :rewrite)

Theorem: structdecl-member->declor$inline-of-structdecl-fix-x

(defthm structdecl-member->declor$inline-of-structdecl-fix-x
  (equal (structdecl-member->declor$inline (structdecl-fix x))
         (structdecl-member->declor$inline x)))

Theorem: structdecl-member->declor$inline-structdecl-equiv-congruence-on-x

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

Theorem: structdecl-member->declor-when-wrong-kind

(defthm structdecl-member->declor-when-wrong-kind
  (implies (not (equal (structdecl-kind x) :member))
           (equal (structdecl-member->declor x)
                  (structdeclor-list-fix nil))))