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Function-dinfo

Function-dinfo->output

Get the output field from a function-dinfo.

Signature
(function-dinfo->output x) → output
Arguments: x — Guard (function-dinfop x).
Returns: output — Type (typep output).

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

Definitions and Theorems

Function: function-dinfo->output$inline

(defun function-dinfo->output$inline (x)
  (declare (xargs :guard (function-dinfop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'function-dinfo->output))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (type-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: typep-of-function-dinfo->output

(defthm typep-of-function-dinfo->output
  (b* ((output (function-dinfo->output$inline x)))
    (typep output))
  :rule-classes :rewrite)

Theorem: function-dinfo->output$inline-of-function-dinfo-fix-x

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

Theorem: function-dinfo->output$inline-function-dinfo-equiv-congruence-on-x

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