Check if a type definer is statically well-formed.
(check-type-definer definer ctxt) → (mv err? obligs)
The guard assumptions on the context are motivated as in check-type-product.
Function:
(defun check-type-definer (definer ctxt) (declare (xargs :guard (and (type-definerp definer) (contextp ctxt)))) (declare (xargs :guard (and (null (context->functions ctxt)) (omap::emptyp (context->variables ctxt)) (null (context->obligation-vars ctxt)) (null (context->obligation-hyps ctxt))))) (let ((__function__ 'check-type-definer)) (declare (ignorable __function__)) (type-definer-case definer :product (check-type-product definer.get ctxt) :sum (check-type-sum definer.get ctxt) :subset (check-type-subset definer.get ctxt))))
Theorem:
(defthm proof-obligation-listp-of-check-type-definer.obligs (b* (((mv ?err? ?obligs) (check-type-definer definer ctxt))) (proof-obligation-listp obligs)) :rule-classes :rewrite)
Theorem:
(defthm check-type-definer-of-type-definer-fix-definer (equal (check-type-definer (type-definer-fix definer) ctxt) (check-type-definer definer ctxt)))
Theorem:
(defthm check-type-definer-type-definer-equiv-congruence-on-definer (implies (type-definer-equiv definer definer-equiv) (equal (check-type-definer definer ctxt) (check-type-definer definer-equiv ctxt))) :rule-classes :congruence)
Theorem:
(defthm check-type-definer-of-context-fix-ctxt (equal (check-type-definer definer (context-fix ctxt)) (check-type-definer definer ctxt)))
Theorem:
(defthm check-type-definer-context-equiv-congruence-on-ctxt (implies (context-equiv ctxt ctxt-equiv) (equal (check-type-definer definer ctxt) (check-type-definer definer ctxt-equiv))) :rule-classes :congruence)