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• Vl-svstmt.lisp

Vl-caseexprs->svex-test

Signature

(vl-caseexprs->svex-test x test size casetype casekey ss scopes) 
  → 
(mv vttree cond)

Arguments

x — Guard (vl-exprlist-p x).

test — Guard (sv::svex-p test).

size — Guard (natp size).

casetype — Guard (vl-casetype-p casetype).

casekey — Guard (vl-casekey-p casekey).

ss — Guard (vl-scopestack-p ss).

scopes — Guard (vl-elabscopes-p scopes).

Returns

vttree — Type (and (vttree-p vttree) (sv::svarlist-addr-p (sv::constraintlist-vars (vttree->constraints vttree)))) .

cond — Type (sv::svex-p cond).

Definitions and Theorems

Function: vl-caseexprs->svex-test

(defun vl-caseexprs->svex-test
       (x test size casetype casekey ss scopes)
  (declare (xargs :guard (and (vl-exprlist-p x)
                              (sv::svex-p test)
                              (natp size)
                              (vl-casetype-p casetype)
                              (vl-casekey-p casekey)
                              (vl-scopestack-p ss)
                              (vl-elabscopes-p scopes))))
  (let ((__function__ 'vl-caseexprs->svex-test))
    (declare (ignorable __function__))
    (if (atom x)
        (mv nil (svex-int 0))
      (b* (((mv vttree rest)
            (vl-caseexprs->svex-test
                 (cdr x)
                 test size casetype casekey ss scopes))
           ((vmv vttree first &)
            (vl-expr-to-svex-selfdet (car x)
                                     (lnfix size)
                                     ss scopes)))
        (mv vttree
            (sv::svcall sv::bitor
                        (if (or (vl-casetype-fix casetype)
                                (vl-casekey-fix casekey))
                            (sv::svcall sv::==?? test first)
                          (sv::svcall sv::== test first))
                        rest))))))

Theorem: return-type-of-vl-caseexprs->svex-test.vttree

(defthm return-type-of-vl-caseexprs->svex-test.vttree
 (b*
  (((mv ?vttree common-lisp::?cond)
    (vl-caseexprs->svex-test x
                             test size casetype casekey ss scopes)))
  (and
      (vttree-p vttree)
      (sv::svarlist-addr-p
           (sv::constraintlist-vars (vttree->constraints vttree)))))
 :rule-classes :rewrite)

Theorem: svex-p-of-vl-caseexprs->svex-test.cond

(defthm svex-p-of-vl-caseexprs->svex-test.cond
 (b*
  (((mv ?vttree common-lisp::?cond)
    (vl-caseexprs->svex-test x
                             test size casetype casekey ss scopes)))
  (sv::svex-p cond))
 :rule-classes :rewrite)

Theorem: vars-of-vl-caseexprs->svex-test

(defthm vars-of-vl-caseexprs->svex-test
 (b*
  (((mv ?vttree common-lisp::?cond)
    (vl-caseexprs->svex-test x
                             test size casetype casekey ss scopes)))
  (implies (sv::svarlist-addr-p (sv::svex-vars test))
           (sv::svarlist-addr-p (sv::svex-vars cond)))))

Theorem: vl-caseexprs->svex-test-of-vl-exprlist-fix-x

(defthm vl-caseexprs->svex-test-of-vl-exprlist-fix-x
 (equal
    (vl-caseexprs->svex-test (vl-exprlist-fix x)
                             test size casetype casekey ss scopes)
    (vl-caseexprs->svex-test x
                             test size casetype casekey ss scopes)))

Theorem: vl-caseexprs->svex-test-vl-exprlist-equiv-congruence-on-x

(defthm vl-caseexprs->svex-test-vl-exprlist-equiv-congruence-on-x
 (implies
  (vl-exprlist-equiv x x-equiv)
  (equal
    (vl-caseexprs->svex-test x test size casetype casekey ss scopes)
    (vl-caseexprs->svex-test x-equiv
                             test size casetype casekey ss scopes)))
 :rule-classes :congruence)

Theorem: vl-caseexprs->svex-test-of-svex-fix-test

(defthm vl-caseexprs->svex-test-of-svex-fix-test
 (equal
    (vl-caseexprs->svex-test x (sv::svex-fix test)
                             size casetype casekey ss scopes)
    (vl-caseexprs->svex-test x
                             test size casetype casekey ss scopes)))

Theorem: vl-caseexprs->svex-test-svex-equiv-congruence-on-test

(defthm vl-caseexprs->svex-test-svex-equiv-congruence-on-test
 (implies
  (sv::svex-equiv test test-equiv)
  (equal
    (vl-caseexprs->svex-test x test size casetype casekey ss scopes)
    (vl-caseexprs->svex-test x test-equiv
                             size casetype casekey ss scopes)))
 :rule-classes :congruence)

Theorem: vl-caseexprs->svex-test-of-nfix-size

(defthm vl-caseexprs->svex-test-of-nfix-size
 (equal
    (vl-caseexprs->svex-test x test (nfix size)
                             casetype casekey ss scopes)
    (vl-caseexprs->svex-test x
                             test size casetype casekey ss scopes)))

Theorem: vl-caseexprs->svex-test-nat-equiv-congruence-on-size

(defthm vl-caseexprs->svex-test-nat-equiv-congruence-on-size
 (implies
  (acl2::nat-equiv size size-equiv)
  (equal
   (vl-caseexprs->svex-test x test size casetype casekey ss scopes)
   (vl-caseexprs->svex-test x test
                            size-equiv casetype casekey ss scopes)))
 :rule-classes :congruence)

Theorem: vl-caseexprs->svex-test-of-vl-casetype-fix-casetype

(defthm vl-caseexprs->svex-test-of-vl-casetype-fix-casetype
 (equal
    (vl-caseexprs->svex-test x test size (vl-casetype-fix casetype)
                             casekey ss scopes)
    (vl-caseexprs->svex-test x
                             test size casetype casekey ss scopes)))

Theorem: vl-caseexprs->svex-test-vl-casetype-equiv-congruence-on-casetype

(defthm
   vl-caseexprs->svex-test-vl-casetype-equiv-congruence-on-casetype
 (implies
  (vl-casetype-equiv casetype casetype-equiv)
  (equal
   (vl-caseexprs->svex-test x test size casetype casekey ss scopes)
   (vl-caseexprs->svex-test x test
                            size casetype-equiv casekey ss scopes)))
 :rule-classes :congruence)

Theorem: vl-caseexprs->svex-test-of-vl-casekey-fix-casekey

(defthm vl-caseexprs->svex-test-of-vl-casekey-fix-casekey
 (equal
    (vl-caseexprs->svex-test x test
                             size casetype (vl-casekey-fix casekey)
                             ss scopes)
    (vl-caseexprs->svex-test x
                             test size casetype casekey ss scopes)))

Theorem: vl-caseexprs->svex-test-vl-casekey-equiv-congruence-on-casekey

(defthm
     vl-caseexprs->svex-test-vl-casekey-equiv-congruence-on-casekey
 (implies
  (vl-casekey-equiv casekey casekey-equiv)
  (equal
   (vl-caseexprs->svex-test x test size casetype casekey ss scopes)
   (vl-caseexprs->svex-test x test
                            size casetype casekey-equiv ss scopes)))
 :rule-classes :congruence)

Theorem: vl-caseexprs->svex-test-of-vl-scopestack-fix-ss

(defthm vl-caseexprs->svex-test-of-vl-scopestack-fix-ss
 (equal
    (vl-caseexprs->svex-test x test size
                             casetype casekey (vl-scopestack-fix ss)
                             scopes)
    (vl-caseexprs->svex-test x
                             test size casetype casekey ss scopes)))

Theorem: vl-caseexprs->svex-test-vl-scopestack-equiv-congruence-on-ss

(defthm vl-caseexprs->svex-test-vl-scopestack-equiv-congruence-on-ss
 (implies
  (vl-scopestack-equiv ss ss-equiv)
  (equal
   (vl-caseexprs->svex-test x test size casetype casekey ss scopes)
   (vl-caseexprs->svex-test x test
                            size casetype casekey ss-equiv scopes)))
 :rule-classes :congruence)

Theorem: vl-caseexprs->svex-test-of-vl-elabscopes-fix-scopes

(defthm vl-caseexprs->svex-test-of-vl-elabscopes-fix-scopes
 (equal
    (vl-caseexprs->svex-test x test size casetype
                             casekey ss (vl-elabscopes-fix scopes))
    (vl-caseexprs->svex-test x
                             test size casetype casekey ss scopes)))

Theorem: vl-caseexprs->svex-test-vl-elabscopes-equiv-congruence-on-scopes

(defthm
   vl-caseexprs->svex-test-vl-elabscopes-equiv-congruence-on-scopes
 (implies
  (vl-elabscopes-equiv scopes scopes-equiv)
  (equal
   (vl-caseexprs->svex-test x test size casetype casekey ss scopes)
   (vl-caseexprs->svex-test x test
                            size casetype casekey ss scopes-equiv)))
 :rule-classes :congruence)