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Extdecl-decl

Extdecl-decl->unwrap

Get the unwrap field from a extdecl-decl.

Signature
(extdecl-decl->unwrap x) → unwrap
Arguments: x — Guard (extdeclp x).
Returns: unwrap — Type (declp unwrap).

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

Definitions and Theorems

Function: extdecl-decl->unwrap$inline

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

Theorem: declp-of-extdecl-decl->unwrap

(defthm declp-of-extdecl-decl->unwrap
  (b* ((unwrap (extdecl-decl->unwrap$inline x)))
    (declp unwrap))
  :rule-classes :rewrite)

Theorem: extdecl-decl->unwrap$inline-of-extdecl-fix-x

(defthm extdecl-decl->unwrap$inline-of-extdecl-fix-x
  (equal (extdecl-decl->unwrap$inline (extdecl-fix x))
         (extdecl-decl->unwrap$inline x)))

Theorem: extdecl-decl->unwrap$inline-extdecl-equiv-congruence-on-x

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

Theorem: extdecl-decl->unwrap-when-wrong-kind

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