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Tfunction-named

Tfunction-named->name

Get the name field from a tfunction-named.

Signature
(tfunction-named->name x) → name
Arguments: x — Guard (tfunctionp x).
Returns: name — Type (symbol-valuep name).

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

Definitions and Theorems

Function: tfunction-named->name$inline

(defun tfunction-named->name$inline (x)
  (declare (xargs :guard (tfunctionp x)))
  (declare (xargs :guard (equal (tfunction-kind x) :named)))
  (let ((__function__ 'tfunction-named->name))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (tfunction-kind x) :named)
                      x)))
           (symbol-value-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: symbol-valuep-of-tfunction-named->name

(defthm symbol-valuep-of-tfunction-named->name
  (b* ((name (tfunction-named->name$inline x)))
    (symbol-valuep name))
  :rule-classes :rewrite)

Theorem: tfunction-named->name$inline-of-tfunction-fix-x

(defthm tfunction-named->name$inline-of-tfunction-fix-x
  (equal (tfunction-named->name$inline (tfunction-fix x))
         (tfunction-named->name$inline x)))

Theorem: tfunction-named->name$inline-tfunction-equiv-congruence-on-x

(defthm tfunction-named->name$inline-tfunction-equiv-congruence-on-x
  (implies (tfunction-equiv x x-equiv)
           (equal (tfunction-named->name$inline x)
                  (tfunction-named->name$inline x-equiv)))
  :rule-classes :congruence)

Theorem: tfunction-named->name-when-wrong-kind

(defthm tfunction-named->name-when-wrong-kind
  (implies (not (equal (tfunction-kind x) :named))
           (equal (tfunction-named->name x)
                  (symbol-value-fix nil))))