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Tyname

Tyname->declor?

Get the declor? field from a tyname.

Signature
(tyname->declor? x) → declor?
Arguments: x — Guard (tynamep x).
Returns: declor? — Type (absdeclor-optionp declor?).

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

Definitions and Theorems

Function: tyname->declor?$inline

(defun tyname->declor?$inline (x)
  (declare (xargs :guard (tynamep x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (absdeclor-option-fix (car (cdr x))))
       :exec (car (cdr x))))

Theorem: absdeclor-optionp-of-tyname->declor?

(defthm absdeclor-optionp-of-tyname->declor?
  (b* ((declor? (tyname->declor?$inline x)))
    (absdeclor-optionp declor?))
  :rule-classes :rewrite)

Theorem: tyname->declor?$inline-of-tyname-fix-x

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

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

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