(vl-caselist-none/multiple x size test casetype casekey ss scopes) → (mv vttree nonematch multimatch)
Function:
(defun vl-caselist-none/multiple (x size test casetype casekey ss scopes) (declare (xargs :guard (and (vl-caselist-p x) (natp size) (sv::svex-p test) (vl-casetype-p casetype) (vl-casekey-p casekey) (vl-scopestack-p ss) (vl-elabscopes-p scopes)))) (let ((__function__ 'vl-caselist-none/multiple)) (declare (ignorable __function__)) (b* ((x (vl-caselist-fix x)) ((when (atom x)) (mv nil 1 0)) (tests (caar x)) ((mv vttree none-rest multi-rest) (vl-caselist-none/multiple (cdr x) size test casetype casekey ss scopes)) ((vmv vttree svtest) (vl-caseexprs->svex-test tests test size casetype casekey ss scopes))) (mv vttree (sv::svcall sv::bitand (sv::svcall sv::bitnot svtest) none-rest) (sv::svcall sv::bitor (sv::svcall sv::bitand svtest (sv::svex-zerox 1 (sv::svcall sv::bitnot none-rest))) multi-rest)))))
Theorem:
(defthm return-type-of-vl-caselist-none/multiple.vttree (b* (((mv ?vttree ?nonematch ?multimatch) (vl-caselist-none/multiple x size test casetype casekey ss scopes))) (and (vttree-p vttree) (sv::svarlist-addr-p (sv::constraintlist-vars (vttree->constraints vttree))))) :rule-classes :rewrite)
Theorem:
(defthm svex-p-of-vl-caselist-none/multiple.nonematch (b* (((mv ?vttree ?nonematch ?multimatch) (vl-caselist-none/multiple x size test casetype casekey ss scopes))) (sv::svex-p nonematch)) :rule-classes :rewrite)
Theorem:
(defthm svex-p-of-vl-caselist-none/multiple.multimatch (b* (((mv ?vttree ?nonematch ?multimatch) (vl-caselist-none/multiple x size test casetype casekey ss scopes))) (sv::svex-p multimatch)) :rule-classes :rewrite)
Theorem:
(defthm svex-addr-p-of-vl-caselist-none/multiple (b* (((mv ?vttree ?nonematch ?multimatch) (vl-caselist-none/multiple x size test casetype casekey ss scopes))) (implies (sv::svarlist-addr-p (sv::svex-vars test)) (and (sv::svarlist-addr-p (sv::svex-vars nonematch)) (sv::svarlist-addr-p (sv::svex-vars multimatch))))))
Theorem:
(defthm vl-caselist-none/multiple-of-vl-caselist-fix-x (equal (vl-caselist-none/multiple (vl-caselist-fix x) size test casetype casekey ss scopes) (vl-caselist-none/multiple x size test casetype casekey ss scopes)))
Theorem:
(defthm vl-caselist-none/multiple-vl-caselist-equiv-congruence-on-x (implies (vl-caselist-equiv x x-equiv) (equal (vl-caselist-none/multiple x size test casetype casekey ss scopes) (vl-caselist-none/multiple x-equiv size test casetype casekey ss scopes))) :rule-classes :congruence)
Theorem:
(defthm vl-caselist-none/multiple-of-nfix-size (equal (vl-caselist-none/multiple x (nfix size) test casetype casekey ss scopes) (vl-caselist-none/multiple x size test casetype casekey ss scopes)))
Theorem:
(defthm vl-caselist-none/multiple-nat-equiv-congruence-on-size (implies (acl2::nat-equiv size size-equiv) (equal (vl-caselist-none/multiple x size test casetype casekey ss scopes) (vl-caselist-none/multiple x size-equiv test casetype casekey ss scopes))) :rule-classes :congruence)
Theorem:
(defthm vl-caselist-none/multiple-of-svex-fix-test (equal (vl-caselist-none/multiple x size (sv::svex-fix test) casetype casekey ss scopes) (vl-caselist-none/multiple x size test casetype casekey ss scopes)))
Theorem:
(defthm vl-caselist-none/multiple-svex-equiv-congruence-on-test (implies (sv::svex-equiv test test-equiv) (equal (vl-caselist-none/multiple x size test casetype casekey ss scopes) (vl-caselist-none/multiple x size test-equiv casetype casekey ss scopes))) :rule-classes :congruence)
Theorem:
(defthm vl-caselist-none/multiple-of-vl-casetype-fix-casetype (equal (vl-caselist-none/multiple x size test (vl-casetype-fix casetype) casekey ss scopes) (vl-caselist-none/multiple x size test casetype casekey ss scopes)))
Theorem:
(defthm vl-caselist-none/multiple-vl-casetype-equiv-congruence-on-casetype (implies (vl-casetype-equiv casetype casetype-equiv) (equal (vl-caselist-none/multiple x size test casetype casekey ss scopes) (vl-caselist-none/multiple x size test casetype-equiv casekey ss scopes))) :rule-classes :congruence)
Theorem:
(defthm vl-caselist-none/multiple-of-vl-casekey-fix-casekey (equal (vl-caselist-none/multiple x size test casetype (vl-casekey-fix casekey) ss scopes) (vl-caselist-none/multiple x size test casetype casekey ss scopes)))
Theorem:
(defthm vl-caselist-none/multiple-vl-casekey-equiv-congruence-on-casekey (implies (vl-casekey-equiv casekey casekey-equiv) (equal (vl-caselist-none/multiple x size test casetype casekey ss scopes) (vl-caselist-none/multiple x size test casetype casekey-equiv ss scopes))) :rule-classes :congruence)
Theorem:
(defthm vl-caselist-none/multiple-of-vl-scopestack-fix-ss (equal (vl-caselist-none/multiple x size test casetype casekey (vl-scopestack-fix ss) scopes) (vl-caselist-none/multiple x size test casetype casekey ss scopes)))
Theorem:
(defthm vl-caselist-none/multiple-vl-scopestack-equiv-congruence-on-ss (implies (vl-scopestack-equiv ss ss-equiv) (equal (vl-caselist-none/multiple x size test casetype casekey ss scopes) (vl-caselist-none/multiple x size test casetype casekey ss-equiv scopes))) :rule-classes :congruence)
Theorem:
(defthm vl-caselist-none/multiple-of-vl-elabscopes-fix-scopes (equal (vl-caselist-none/multiple x size test casetype casekey ss (vl-elabscopes-fix scopes)) (vl-caselist-none/multiple x size test casetype casekey ss scopes)))
Theorem:
(defthm vl-caselist-none/multiple-vl-elabscopes-equiv-congruence-on-scopes (implies (vl-elabscopes-equiv scopes scopes-equiv) (equal (vl-caselist-none/multiple x size test casetype casekey ss scopes) (vl-caselist-none/multiple x size test casetype casekey ss scopes-equiv))) :rule-classes :congruence)