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Constdecl

Constdecl->init

Get the init field from a constdecl.

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

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

Definitions and Theorems

Function: constdecl->init$inline

(defun constdecl->init$inline (x)
  (declare (xargs :guard (constdeclp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'constdecl->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-constdecl->init

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

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

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

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

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