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Funinfo+funenv

Funinfo+funenv->info

Get the info field from a funinfo+funenv.

Signature
(funinfo+funenv->info x) → info
Arguments: x — Guard (funinfo+funenv-p x).
Returns: info — Type (funinfop info).

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

Definitions and Theorems

Function: funinfo+funenv->info$inline

(defun funinfo+funenv->info$inline (x)
  (declare (xargs :guard (funinfo+funenv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'funinfo+funenv->info))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (funinfo-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: funinfop-of-funinfo+funenv->info

(defthm funinfop-of-funinfo+funenv->info
  (b* ((info (funinfo+funenv->info$inline x)))
    (funinfop info))
  :rule-classes :rewrite)

Theorem: funinfo+funenv->info$inline-of-funinfo+funenv-fix-x

(defthm funinfo+funenv->info$inline-of-funinfo+funenv-fix-x
  (equal (funinfo+funenv->info$inline (funinfo+funenv-fix x))
         (funinfo+funenv->info$inline x)))

Theorem: funinfo+funenv->info$inline-funinfo+funenv-equiv-congruence-on-x

(defthm
   funinfo+funenv->info$inline-funinfo+funenv-equiv-congruence-on-x
  (implies (funinfo+funenv-equiv x x-equiv)
           (equal (funinfo+funenv->info$inline x)
                  (funinfo+funenv->info$inline x-equiv)))
  :rule-classes :congruence)