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R1cs-subset

Sr1cs-definitionp

Check if a PFCS definition consists of strcutred R1CS constraints.

Signature
(sr1cs-definitionp def) → yes/no
Arguments: def — Guard (definitionp def).
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: sr1cs-definitionp

(defun sr1cs-definitionp (def)
  (declare (xargs :guard (definitionp def)))
  (let ((__function__ 'sr1cs-definitionp))
    (declare (ignorable __function__))
    (sr1cs-constraint-listp (definition->body def))))

Theorem: booleanp-of-sr1cs-definitionp

(defthm booleanp-of-sr1cs-definitionp
  (b* ((yes/no (sr1cs-definitionp def)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: sr1cs-definitionp-of-definition-fix-def

(defthm sr1cs-definitionp-of-definition-fix-def
  (equal (sr1cs-definitionp (definition-fix def))
         (sr1cs-definitionp def)))

Theorem: sr1cs-definitionp-definition-equiv-congruence-on-def

(defthm sr1cs-definitionp-definition-equiv-congruence-on-def
  (implies (definition-equiv def def-equiv)
           (equal (sr1cs-definitionp def)
                  (sr1cs-definitionp def-equiv)))
  :rule-classes :congruence)