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Struct-declor

Struct-declor->expr?

Get the expr? field from a struct-declor.

Signature
(struct-declor->expr? x) → expr?
Arguments: x — Guard (struct-declorp x).
Returns: expr? — Type (const-expr-optionp expr?).

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

Definitions and Theorems

Function: struct-declor->expr?$inline

(defun struct-declor->expr?$inline (x)
  (declare (xargs :guard (struct-declorp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (const-expr-option-fix (cdr x)))
       :exec (cdr x)))

Theorem: const-expr-optionp-of-struct-declor->expr?

(defthm const-expr-optionp-of-struct-declor->expr?
  (b* ((expr? (struct-declor->expr?$inline x)))
    (const-expr-optionp expr?))
  :rule-classes :rewrite)

Theorem: struct-declor->expr?$inline-of-struct-declor-fix-x

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

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

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