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Well-formedness

Rule-wfp

A rule is well-formed iff its name and definiens are well-formed.

Signature
(rule-wfp rule) → yes/no
Arguments: rule — Guard (rulep rule).
Returns: yes/no — Type (booleanp yes/no).

This condition is structural.

Definitions and Theorems

Function: rule-wfp

(defun rule-wfp (rule)
  (declare (xargs :guard (rulep rule)))
  (and (rulename-wfp (rule->name rule))
       (alternation-wfp (rule->definiens rule))))

Theorem: booleanp-of-rule-wfp

(defthm booleanp-of-rule-wfp
  (b* ((yes/no (rule-wfp rule)))
    (booleanp yes/no))
  :rule-classes :rewrite)