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Struct-init

Struct-init->expr

Get the expr field from a struct-init.

Signature
(struct-init->expr x) → expr
Arguments: x — Guard (struct-initp x).
Returns: expr — Type (expressionp expr).

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

Definitions and Theorems

Function: struct-init->expr$inline

(defun struct-init->expr$inline (x)
  (declare (xargs :guard (struct-initp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'struct-init->expr))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (expression-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: expressionp-of-struct-init->expr

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

Theorem: struct-init->expr$inline-of-struct-init-fix-x

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

Theorem: struct-init->expr$inline-struct-init-equiv-congruence-on-x

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