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Function-input

Function-input->reg

Get the reg field from a function-input.

Signature
(function-input->reg x) → reg
Arguments: x — Guard (function-inputp x).
Returns: reg — Type (registerp reg).

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

Definitions and Theorems

Function: function-input->reg$inline

(defun function-input->reg$inline (x)
  (declare (xargs :guard (function-inputp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'function-input->reg))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (register-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: registerp-of-function-input->reg

(defthm registerp-of-function-input->reg
  (b* ((reg (function-input->reg$inline x)))
    (registerp reg))
  :rule-classes :rewrite)

Theorem: function-input->reg$inline-of-function-input-fix-x

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

Theorem: function-input->reg$inline-function-input-equiv-congruence-on-x

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