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Designor-sub

Designor-sub->range?

Get the range? field from a designor-sub.

Signature
(designor-sub->range? x) → range?
Arguments: x — Guard (designorp x).
Returns: range? — Type (const-expr-optionp range?).

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

Definitions and Theorems

Function: designor-sub->range?$inline

(defun designor-sub->range?$inline (x)
  (declare (xargs :guard (designorp x)))
  (declare (xargs :guard (equal (designor-kind x) :sub)))
  (mbe :logic
       (b* ((x (and (equal (designor-kind x) :sub) x)))
         (const-expr-option-fix (cdr (cdr x))))
       :exec (cdr (cdr x))))

Theorem: const-expr-optionp-of-designor-sub->range?

(defthm const-expr-optionp-of-designor-sub->range?
  (b* ((range? (designor-sub->range?$inline x)))
    (const-expr-optionp range?))
  :rule-classes :rewrite)

Theorem: designor-sub->range?$inline-of-designor-fix-x

(defthm designor-sub->range?$inline-of-designor-fix-x
  (equal (designor-sub->range?$inline (designor-fix x))
         (designor-sub->range?$inline x)))

Theorem: designor-sub->range?$inline-designor-equiv-congruence-on-x

(defthm designor-sub->range?$inline-designor-equiv-congruence-on-x
  (implies (designor-equiv x x-equiv)
           (equal (designor-sub->range?$inline x)
                  (designor-sub->range?$inline x-equiv)))
  :rule-classes :congruence)

Theorem: designor-sub->range?-when-wrong-kind

(defthm designor-sub->range?-when-wrong-kind
  (implies (not (equal (designor-kind x) :sub))
           (equal (designor-sub->range? x)
                  (const-expr-option-fix nil))))