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Fun-declor-pointer

Fun-declor-pointer->decl

Get the decl field from a fun-declor-pointer.

Signature
(fun-declor-pointer->decl x) → decl
Arguments: x — Guard (fun-declorp x).
Returns: decl — Type (fun-declorp decl).

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

Definitions and Theorems

Function: fun-declor-pointer->decl$inline

(defun fun-declor-pointer->decl$inline (x)
  (declare (xargs :guard (fun-declorp x)))
  (declare (xargs :guard (equal (fun-declor-kind x) :pointer)))
  (let ((__function__ 'fun-declor-pointer->decl))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (fun-declor-kind x) :pointer)
                      x)))
           (fun-declor-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: fun-declorp-of-fun-declor-pointer->decl

(defthm fun-declorp-of-fun-declor-pointer->decl
  (b* ((decl (fun-declor-pointer->decl$inline x)))
    (fun-declorp decl))
  :rule-classes :rewrite)

Theorem: fun-declor-pointer->decl$inline-of-fun-declor-fix-x

(defthm fun-declor-pointer->decl$inline-of-fun-declor-fix-x
  (equal (fun-declor-pointer->decl$inline (fun-declor-fix x))
         (fun-declor-pointer->decl$inline x)))

Theorem: fun-declor-pointer->decl$inline-fun-declor-equiv-congruence-on-x

(defthm
   fun-declor-pointer->decl$inline-fun-declor-equiv-congruence-on-x
  (implies (fun-declor-equiv x x-equiv)
           (equal (fun-declor-pointer->decl$inline x)
                  (fun-declor-pointer->decl$inline x-equiv)))
  :rule-classes :congruence)

Theorem: fun-declor-pointer->decl-when-wrong-kind

(defthm fun-declor-pointer->decl-when-wrong-kind
  (implies (not (equal (fun-declor-kind x) :pointer))
           (equal (fun-declor-pointer->decl x)
                  (fun-declor-fix nil))))