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Function

Function->name

Get the name field from a function.

Signature
(function->name x) → name
Arguments: x — Guard (functionp x).
Returns: name — Type (symbol-valuep name).

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

Definitions and Theorems

Function: function->name$inline

(defun function->name$inline (x)
  (declare (xargs :guard (functionp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'function->name))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (symbol-value-fix (std::da-nth 0 x)))
         :exec (std::da-nth 0 x))))

Theorem: symbol-valuep-of-function->name

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

Theorem: function->name$inline-of-function-fix-x

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

Theorem: function->name$inline-function-equiv-congruence-on-x

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