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Field-if

Field-if-circuit

Construction of the circuit.

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

This is a PFCS definition with a single equality constraint of the form described in field-if.

Definitions and Theorems

Function: field-if-circuit

(defun field-if-circuit nil
 (declare (xargs :guard t))
 (let ((__function__ 'field-if-circuit))
  (declare (ignorable __function__))
  (pfcs::parse-def
   "field_if(x, y, z, w) := {
    (x) * (y + -1 * z) == (w + -1 * z)
    }")))

Theorem: definitionp-of-field-if-circuit

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

Theorem: sr1cs-definitionp-of-field-if-circuit

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