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Dirdeclor-ident

Dirdeclor-ident->unwrap

Get the unwrap field from a dirdeclor-ident.

Signature
(dirdeclor-ident->unwrap x) → unwrap
Arguments: x — Guard (dirdeclorp x).
Returns: unwrap — Type (identp unwrap).

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

Definitions and Theorems

Function: dirdeclor-ident->unwrap$inline

(defun dirdeclor-ident->unwrap$inline (x)
  (declare (xargs :guard (dirdeclorp x)))
  (declare (xargs :guard (equal (dirdeclor-kind x) :ident)))
  (let ((__function__ 'dirdeclor-ident->unwrap))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (dirdeclor-kind x) :ident)
                      x)))
           (ident-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: identp-of-dirdeclor-ident->unwrap

(defthm identp-of-dirdeclor-ident->unwrap
  (b* ((unwrap (dirdeclor-ident->unwrap$inline x)))
    (identp unwrap))
  :rule-classes :rewrite)

Theorem: dirdeclor-ident->unwrap$inline-of-dirdeclor-fix-x

(defthm dirdeclor-ident->unwrap$inline-of-dirdeclor-fix-x
  (equal (dirdeclor-ident->unwrap$inline (dirdeclor-fix x))
         (dirdeclor-ident->unwrap$inline x)))

Theorem: dirdeclor-ident->unwrap$inline-dirdeclor-equiv-congruence-on-x

(defthm
     dirdeclor-ident->unwrap$inline-dirdeclor-equiv-congruence-on-x
  (implies (dirdeclor-equiv x x-equiv)
           (equal (dirdeclor-ident->unwrap$inline x)
                  (dirdeclor-ident->unwrap$inline x-equiv)))
  :rule-classes :congruence)

Theorem: dirdeclor-ident->unwrap-when-wrong-kind

(defthm dirdeclor-ident->unwrap-when-wrong-kind
  (implies (not (equal (dirdeclor-kind x) :ident))
           (equal (dirdeclor-ident->unwrap x)
                  (ident-fix nil))))