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Field-inv-flagged

Field-inv-flagged-spec

Specification of the circuit.

Signature
(field-inv-flagged-spec x y e prime) → yes/no
Arguments: x — Guard (pfield::fep x prime).; y — Guard (pfield::fep y prime).; e — Guard (pfield::fep e prime).; prime — Guard (primep prime).
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: field-inv-flagged-spec

(defun field-inv-flagged-spec (x y e prime)
  (declare (xargs :guard (and (primep prime)
                              (pfield::fep x prime)
                              (pfield::fep y prime)
                              (pfield::fep e prime))))
  (let ((__function__ 'field-inv-flagged-spec))
    (declare (ignorable __function__))
    (and (equal y
                (if (equal x 0)
                    0
                  (pfield::inv x prime)))
         (equal e (if (equal x 0) 1 0)))))

Theorem: booleanp-of-field-inv-flagged-spec

(defthm booleanp-of-field-inv-flagged-spec
  (b* ((yes/no (field-inv-flagged-spec x y e prime)))
    (booleanp yes/no))
  :rule-classes :rewrite)