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Field-div-checked

Field-div-checked-circuit

Construction of the circuit.

Signature
(field-div-checked-circuit) → pdef
Returns: pdef — Type (pfcs::definitionp pdef).

This is a PFCS definition with two relation constraint that call the field-inv-checked and field-mul circuits. This circuit has an internal variable, which is the inverse of the divisor.

Definitions and Theorems

Function: field-div-checked-circuit

(defun field-div-checked-circuit nil
 (declare (xargs :guard t))
 (let ((__function__ 'field-div-checked-circuit))
  (declare (ignorable __function__))
  (pfcs::parse-def
   "field_div_checked(x, y, z) := {
    field_inv_checked(y, w),
    field_mul(x, w, z)
    }")))

Theorem: definitionp-of-field-div-checked-circuit

(defthm definitionp-of-field-div-checked-circuit
  (b* ((pdef (field-div-checked-circuit)))
    (pfcs::definitionp pdef))
  :rule-classes :rewrite)

Theorem: sr1cs-definitionp-of-field-div-checked-circuit

(defthm sr1cs-definitionp-of-field-div-checked-circuit
  (b* ((pdef (field-div-checked-circuit)))
    (pfcs::sr1cs-definitionp pdef))
  :rule-classes :rewrite)