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• Modalist

Modalist-lookup

Signature

(modalist-lookup modname modalist) → mod

Arguments

modalist — Guard (modalist-p modalist).

Returns

mod — Type (iff (module-p mod) mod).

Definitions and Theorems

Function: modalist-lookup

(defun modalist-lookup (modname modalist)
  (declare (xargs :guard (modalist-p modalist)))
  (let ((__function__ 'modalist-lookup))
    (declare (ignorable __function__))
    (cdr (hons-get modname
                   (mbe :logic (modalist-fix modalist)
                        :exec modalist)))))

Theorem: return-type-of-modalist-lookup

(defthm return-type-of-modalist-lookup
  (b* ((mod (modalist-lookup modname modalist)))
    (iff (module-p mod) mod))
  :rule-classes :rewrite)

Theorem: modalist-lookup-of-modalist-fix-modalist

(defthm modalist-lookup-of-modalist-fix-modalist
  (equal (modalist-lookup modname (modalist-fix modalist))
         (modalist-lookup modname modalist)))

Theorem: modalist-lookup-modalist-equiv-congruence-on-modalist

(defthm modalist-lookup-modalist-equiv-congruence-on-modalist
  (implies (modalist-equiv modalist modalist-equiv)
           (equal (modalist-lookup modname modalist)
                  (modalist-lookup modname modalist-equiv)))
  :rule-classes :congruence)