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Boolean-assert

Boolean-assert-spec

Specification of the circuit.

Signature
(boolean-assert-spec x prime) → yes/no
Arguments: x — Guard (pfield::fep x prime).; prime — Guard (primep prime).
Returns: yes/no — Type (booleanp yes/no).

The specification is a predicate over a single field element. The predicate is defined as the built-in bitp, i.e. the recognizer of bits.

Definitions and Theorems

Function: boolean-assert-spec

(defun boolean-assert-spec (x prime)
  (declare (xargs :guard (and (primep prime)
                              (pfield::fep x prime))))
  (declare (ignore prime))
  (let ((__function__ 'boolean-assert-spec))
    (declare (ignorable __function__))
    (bitp x)))

Theorem: booleanp-of-boolean-assert-spec

(defthm booleanp-of-boolean-assert-spec
  (b* ((yes/no (boolean-assert-spec x prime)))
    (booleanp yes/no))
  :rule-classes :rewrite)