• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Debugging
  • Projects
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
    • Sv
      • Svex-stvs
      • Svex-decomposition-methodology
      • Sv-versus-esim
      • Svex-decomp
      • Svex-compose-dfs
      • Svex-compilation
      • Moddb
      • Svmods
      • Svstmt
      • Sv-tutorial
      • Expressions
      • Symbolic-test-vector
      • Vl-to-svex
        • Vl-to-sv
        • Vl-design->sv-design
          • Vl-simpconfig
          • Vl-hierarchy-sv-translation
          • Vl-expr-svex-translation
            • Sv::vl-expr.lisp
              • Vl-scopecontext-to-addr
              • Vl-binaryop-to-svex
              • Vl-expr-to-svex-maybe-typed
              • Vl-datatype-syscall-to-svex
              • Vl-operandinfo-to-svex-preproc
              • Vl-structmemberlist->types
              • Vl-seltrace-to-svex-select
              • Vl-portdecllist->types
              • Vl-operandinfo-to-svex-select
              • Vl-plusminus-partselect->svex
              • Vl-arrayrange->rel-lsb-and-width
              • Vl-unaryop-to-svex
              • Vl-funcall-args-to-ordered
              • Vl-expr-to-svex-lhs
              • Vl-operandinfo-to-svex
              • Vl-array-assignpat-keyval-resolve
              • Vl-err->vfatal
              • Vl-datatypelist-usertype-resolve
              • Vl-upscope-to-svex-upscope
              • Vl-err->fatal
              • Vl-streaming-concat-trunc/extend
              • Vl-operandinfo-base-svar
              • Vl-index-shift-amount
              • Vttree->constraints
              • Vl-slicesize-resolve
              • Vl-function-map-find-matching-aux
              • Vl-funname-lookup
              • Vl-datatype-size-warn
              • Svex-repeat-aux
              • Vl-$test$plusargs-to-svex
              • Svex-extend
              • Vl-structmemberlist-shift-bits
              • Vl-datatype-slot-width/range
              • Vl-datatype-index-shift-amount
              • Vl-datatype-field-shift-amount
              • 4vec-extend
              • Vl-function-pair-inputs-with-actuals
              • Vl-expr-to-svex-untyped
              • Vl-function-map-check-matching
              • Vl-datatype-syscall-remove-dims
              • Svex-concat-list-aux
              • Vttree-add-constraints
              • Vttree-add-warnings
              • Vl-check-struct-assignpat-keys
              • Vl-check-array-assignpat-keys
              • Sv::constraintlist-subst-memo
              • Vl-svex-keyval-index-lookup
              • Vl-function-map-find-matching
              • Vl-convert-dollarsign-to-expr
              • Vttree->constraints-acc
              • Vl-seltrace-type
              • Vl-seltrace-to-path
              • Vl-keyval-member-lookup
              • Svex-repeat
              • Vttree->warnings-acc
              • Vl-trunc/extend-type-err
              • Constraintlist-add-ctx
              • Vl-hidtrace-add-to-path
              • Svex-multiconcat
              • Vttree-join
              • Vl-value-to-string-aux
              • Vl-seltrace-add-to-path
              • Vl-value-to-4vec
              • Vl-expr-to-svex-selfdet
              • Vl-svex-keyval-default-lookup
              • Vl-$test$plusargs-p
              • Vl-value-to-svex
              • Vl-value-in-range
              • Vl-keyval-default-lookup
              • Sv::svexlist-args-extract-constants
              • Vl-string->bits
              • Vl-size-to-unsigned-logic
              • Vl-hidtrace-to-path
              • Svex-concat-list
              • Vttree->warnings
              • Vl-seltrace-unres-count
              • Vl-datatype-index-is-bitselect
              • Vl-bitlist->4vec
              • Vl-svex-keyvallist-vars
              • Vl-hidstep->svex-index
              • Vl-selstep->svex-name
              • Vl-datatypelist-resolved-p
              • Vl-datatype-$unpacked_dimensions
              • Vl-datatype-$dimensions
              • Vl-bitlist->offset
              • Vl-bitlist->onset
              • Vl-streamexprlist-has-with
              • Vl-hidstep-resolved-p
              • Vl-expr-needs-type-context
              • Vl-streamexprlist->exprs
              • Vl-integer-to-string
              • Vl-hidtrace-resolved-p
              • Vl-selstep-resolved-p
              • Vl-select-resolved-p
              • Vl-svex-keyvallist
              • Vl-datatypelist
              • Svex-x
            • Vttree
          • Vl-design->svex-modalist
          • Vl-svstmt
        • Vl-to-sv-main
        • Vl-simplify-sv
        • Vl-user-paramsettings->unparam-names
        • Vl-user-paramsettings->modnames
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Sv::vl-expr.lisp

Sv::constraintlist-subst-memo

Signature

(sv::constraintlist-subst-memo acl2::x subst) → sv::new-x

Arguments

acl2::x — Guard (sv::constraintlist-p acl2::x).

subst — Guard (sv::svex-alist-p subst).

Returns

sv::new-x — Type (sv::constraintlist-p sv::new-x).

Definitions and Theorems

Function: constraintlist-subst-memo

(defun sv::constraintlist-subst-memo (acl2::x subst)
 (declare (xargs :guard (and (sv::constraintlist-p acl2::x)
                             (sv::svex-alist-p subst))))
 (let ((__function__ 'sv::constraintlist-subst-memo))
  (declare (ignorable __function__))
  (if (atom acl2::x)
      nil
   (cons
    (sv::change-constraint
     (car acl2::x)
     :cond (sv::svex-subst-memo (sv::constraint->cond (car acl2::x))
                                subst))
    (sv::constraintlist-subst-memo (cdr acl2::x)
                                   subst)))))

Theorem: constraintlist-p-of-constraintlist-subst-memo

(defthm sv::constraintlist-p-of-constraintlist-subst-memo
  (b* ((sv::new-x (sv::constraintlist-subst-memo acl2::x subst)))
    (sv::constraintlist-p sv::new-x))
  :rule-classes :rewrite)

Theorem: vars-of-constraintlist-subst-memo

(defthm sv::vars-of-constraintlist-subst-memo
  (b* ((sv::?new-x (sv::constraintlist-subst-memo acl2::x subst)))
    (implies (not (member sv::v (sv::svex-alist-vars subst)))
             (not (member sv::v
                          (sv::constraintlist-vars sv::new-x))))))

Theorem: constraintlist-subst-memo-of-constraintlist-fix-x

(defthm sv::constraintlist-subst-memo-of-constraintlist-fix-x
 (equal
     (sv::constraintlist-subst-memo (sv::constraintlist-fix acl2::x)
                                    subst)
     (sv::constraintlist-subst-memo acl2::x subst)))

Theorem: constraintlist-subst-memo-constraintlist-equiv-congruence-on-x

(defthm
 sv::constraintlist-subst-memo-constraintlist-equiv-congruence-on-x
 (implies (sv::constraintlist-equiv acl2::x sv::x-equiv)
          (equal (sv::constraintlist-subst-memo acl2::x subst)
                 (sv::constraintlist-subst-memo sv::x-equiv subst)))
 :rule-classes :congruence)

Theorem: constraintlist-subst-memo-of-svex-alist-fix-subst

(defthm sv::constraintlist-subst-memo-of-svex-alist-fix-subst
 (equal
  (sv::constraintlist-subst-memo acl2::x (sv::svex-alist-fix subst))
  (sv::constraintlist-subst-memo acl2::x subst)))

Theorem: constraintlist-subst-memo-svex-alist-equiv-congruence-on-subst

(defthm
 sv::constraintlist-subst-memo-svex-alist-equiv-congruence-on-subst
 (implies
    (sv::svex-alist-equiv subst sv::subst-equiv)
    (equal (sv::constraintlist-subst-memo acl2::x subst)
           (sv::constraintlist-subst-memo acl2::x sv::subst-equiv)))
 :rule-classes :congruence)