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Function-specification

Function-specification->name

Get the name field from a function-specification.

Signature
(function-specification->name x) → name
Arguments: x — Guard (function-specificationp x).
Returns: name — Type (identifierp name).

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

Definitions and Theorems

Function: function-specification->name$inline

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

Theorem: identifierp-of-function-specification->name

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

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

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

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

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