(vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings) → (mv successp new-x new-warnings)
Function:
(defun vl-expr-assignpattern-extend/truncate (lhs-type x in-pattern ss ctx warnings) (declare (xargs :guard (and (vl-datatype-p lhs-type) (vl-expr-p x) (vl-scopestack-p ss) (vl-context-p ctx) (vl-warninglist-p warnings)))) (let ((__function__ 'vl-expr-assignpattern-extend/truncate)) (declare (ignorable __function__)) (b* ((warnings (vl-warninglist-fix warnings)) (x (vl-expr-fix x)) ((unless in-pattern) (mv t x warnings)) ((mv warnings1 selfsize) (vl-expr-selfsize x ss ctx nil)) ((mv warnings2 exprtype) (vl-expr-typedecide x ss ctx nil)) ((unless (and selfsize exprtype)) (mv nil x (append-without-guard warnings1 warnings2 warnings))) ((mv warning typesize) (vl-datatype-size lhs-type)) ((when warning) (mv nil x (cons warning warnings))) ((when (< selfsize typesize)) (b* ((width (- typesize selfsize)) ((when (eq exprtype :vl-signed)) (mv nil x (warn :type :vl-assignpattern-elim-fail :msg "~a0: sign-extension of assignment pattern ~ ctxents not yet implemented: ~a1" :args (list (vl-context-fix ctx) x))))) (mv t (make-vl-nonatom :op :vl-concat :args (list (make-vl-atom :guts (make-vl-constint :origwidth width :origtype :vl-unsigned :value 0)) x)) warnings))) ((when (< typesize selfsize)) (mv nil x (warn :type :vl-assignpattern-elim-fail :msg "~a0: truncation of assignment pattern ctxents not ~ yet implemented: ~a1" :args (list (vl-context-fix ctx) x))))) (mv t x warnings))))
Theorem:
(defthm booleanp-of-vl-expr-assignpattern-extend/truncate.successp (b* (((mv ?successp ?new-x ?new-warnings) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings))) (booleanp successp)) :rule-classes :type-prescription)
Theorem:
(defthm vl-expr-p-of-vl-expr-assignpattern-extend/truncate.new-x (b* (((mv ?successp ?new-x ?new-warnings) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings))) (vl-expr-p new-x)) :rule-classes :rewrite)
Theorem:
(defthm vl-warninglist-p-of-vl-expr-assignpattern-extend/truncate.new-warnings (b* (((mv ?successp ?new-x ?new-warnings) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings))) (vl-warninglist-p new-warnings)) :rule-classes :rewrite)
Theorem:
(defthm vl-expr-size-of-vl-expr-assignpattern-extend/truncate-when-in-pattern (b* (((mv ok1 x1 &) (vl-expr-assignpattern-extend/truncate lhs-type x t ss ctx warningsa)) ((mv warning size) (vl-datatype-size lhs-type)) ((mv ok2 & x2) (vl-expr-size size1 x1 ss ctxb warningsb))) (and (implies warning (not ok1)) (implies (and ok1 ok2) (equal (vl-expr->finalwidth x2) (if size1 (max (nfix size1) size) size))))))
Theorem:
(defthm vl-expr-size-of-vl-expr-assignpattern-extend/truncate-when-in-pattern-selfsize (b* (((mv ok1 x1 &) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warningsa)) ((mv warning size) (vl-datatype-size lhs-type)) ((mv & selfsize) (vl-expr-selfsize x1 ss ctxb warningsb))) (implies in-pattern (and (implies warning (not ok1)) (implies ok1 (equal selfsize size))))))
Theorem:
(defthm vl-expr-assignpattern-extend/truncate-of-vl-datatype-fix-lhs-type (equal (vl-expr-assignpattern-extend/truncate (vl-datatype-fix lhs-type) x in-pattern ss ctx warnings) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings)))
Theorem:
(defthm vl-expr-assignpattern-extend/truncate-vl-datatype-equiv-congruence-on-lhs-type (implies (vl-datatype-equiv lhs-type lhs-type-equiv) (equal (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings) (vl-expr-assignpattern-extend/truncate lhs-type-equiv x in-pattern ss ctx warnings))) :rule-classes :congruence)
Theorem:
(defthm vl-expr-assignpattern-extend/truncate-of-vl-expr-fix-x (equal (vl-expr-assignpattern-extend/truncate lhs-type (vl-expr-fix x) in-pattern ss ctx warnings) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings)))
Theorem:
(defthm vl-expr-assignpattern-extend/truncate-vl-expr-equiv-congruence-on-x (implies (vl-expr-equiv x x-equiv) (equal (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings) (vl-expr-assignpattern-extend/truncate lhs-type x-equiv in-pattern ss ctx warnings))) :rule-classes :congruence)
Theorem:
(defthm vl-expr-assignpattern-extend/truncate-of-vl-scopestack-fix-ss (equal (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern (vl-scopestack-fix ss) ctx warnings) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings)))
Theorem:
(defthm vl-expr-assignpattern-extend/truncate-vl-scopestack-equiv-congruence-on-ss (implies (vl-scopestack-equiv ss ss-equiv) (equal (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss-equiv ctx warnings))) :rule-classes :congruence)
Theorem:
(defthm vl-expr-assignpattern-extend/truncate-of-vl-context-fix-ctx (equal (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss (vl-context-fix ctx) warnings) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings)))
Theorem:
(defthm vl-expr-assignpattern-extend/truncate-vl-context-equiv-congruence-on-ctx (implies (vl-context-equiv ctx ctx-equiv) (equal (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx-equiv warnings))) :rule-classes :congruence)
Theorem:
(defthm vl-expr-assignpattern-extend/truncate-of-vl-warninglist-fix-warnings (equal (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx (vl-warninglist-fix warnings)) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings)))
Theorem:
(defthm vl-expr-assignpattern-extend/truncate-vl-warninglist-equiv-congruence-on-warnings (implies (vl-warninglist-equiv warnings warnings-equiv) (equal (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings) (vl-expr-assignpattern-extend/truncate lhs-type x in-pattern ss ctx warnings-equiv))) :rule-classes :congruence)