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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 (obj-adeclorp 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))
  (let ((__function__ 'tyname->declor))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (obj-adeclor-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: obj-adeclorp-of-tyname->declor

(defthm obj-adeclorp-of-tyname->declor
  (b* ((declor (tyname->declor$inline x)))
    (obj-adeclorp 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)