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Lhs.lisp

Svar-indexedp

Signature
(svar-indexedp x) → *
Arguments: x — Guard (svar-p x).

Definitions and Theorems

Function: svar-indexedp

(defun svar-indexedp (x)
  (declare (xargs :guard (svar-p x)))
  (let ((__function__ 'svar-indexedp))
    (declare (ignorable __function__))
    (natp (svar->name x))))

Theorem: svar-indexedp-of-svar-fix-x

(defthm svar-indexedp-of-svar-fix-x
  (equal (svar-indexedp (svar-fix x))
         (svar-indexedp x)))

Theorem: svar-indexedp-svar-equiv-congruence-on-x

(defthm svar-indexedp-svar-equiv-congruence-on-x
  (implies (svar-equiv x x-equiv)
           (equal (svar-indexedp x)
                  (svar-indexedp x-equiv)))
  :rule-classes :congruence)