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Vardecl

Vardecl->init

Get the init field from a vardecl.

Signature
(vardecl->init x) → init
Arguments: x — Guard (vardeclp x).
Returns: init — Type (expressionp init).

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

Definitions and Theorems

Function: vardecl->init$inline

(defun vardecl->init$inline (x)
  (declare (xargs :guard (vardeclp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vardecl->init))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (expression-fix (cdr (std::da-nth 2 (cdr x)))))
         :exec (cdr (std::da-nth 2 (cdr x))))))

Theorem: expressionp-of-vardecl->init

(defthm expressionp-of-vardecl->init
  (b* ((init (vardecl->init$inline x)))
    (expressionp init))
  :rule-classes :rewrite)

Theorem: vardecl->init$inline-of-vardecl-fix-x

(defthm vardecl->init$inline-of-vardecl-fix-x
  (equal (vardecl->init$inline (vardecl-fix x))
         (vardecl->init$inline x)))

Theorem: vardecl->init$inline-vardecl-equiv-congruence-on-x

(defthm vardecl->init$inline-vardecl-equiv-congruence-on-x
  (implies (vardecl-equiv x x-equiv)
           (equal (vardecl->init$inline x)
                  (vardecl->init$inline x-equiv)))
  :rule-classes :congruence)