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Design

Design->top

Get the top field from a design.

Signature
(design->top x) → top
Arguments: x — Guard (design-p x).
Returns: top — Type (modname-p top).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: design->top$inline

(defun design->top$inline (x)
  (declare (xargs :guard (design-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'design->top))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (modname-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: modname-p-of-design->top

(defthm modname-p-of-design->top
  (b* ((top (design->top$inline x)))
    (modname-p top))
  :rule-classes :rewrite)

Theorem: design->top$inline-of-design-fix-x

(defthm design->top$inline-of-design-fix-x
  (equal (design->top$inline (design-fix x))
         (design->top$inline x)))

Theorem: design->top$inline-design-equiv-congruence-on-x

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