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• Svmods

Modname->submodnames

Signature

(modname->submodnames x modalist) → modnames

Arguments

modalist — Guard (modalist-p modalist).

Returns

modnames — Type (modnamelist-p modnames).

Definitions and Theorems

Function: modname->submodnames

(defun modname->submodnames (x modalist)
  (declare (xargs :guard (modalist-p modalist)))
  (let ((__function__ 'modname->submodnames))
    (declare (ignorable __function__))
    (b* ((mod (modalist-lookup x modalist))
         ((unless mod) nil))
      (modinstlist->modnames (module->insts mod)))))

Theorem: modnamelist-p-of-modname->submodnames

(defthm modnamelist-p-of-modname->submodnames
  (b* ((modnames (modname->submodnames x modalist)))
    (modnamelist-p modnames))
  :rule-classes :rewrite)

Theorem: modname->submodnames-implies-lookup

(defthm modname->submodnames-implies-lookup
  (implies (modname->submodnames x modalist)
           (modalist-lookup x modalist)))

Theorem: modname->submodnames-of-modalist-fix-modalist

(defthm modname->submodnames-of-modalist-fix-modalist
  (equal (modname->submodnames x (modalist-fix modalist))
         (modname->submodnames x modalist)))

Theorem: modname->submodnames-modalist-equiv-congruence-on-modalist

(defthm modname->submodnames-modalist-equiv-congruence-on-modalist
  (implies (modalist-equiv modalist modalist-equiv)
           (equal (modname->submodnames x modalist)
                  (modname->submodnames x modalist-equiv)))
  :rule-classes :congruence)