• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
      • Warnings
      • Primitives
      • Use-set
      • Syntax
      • Getting-started
      • Utilities
      • Loader
      • Transforms
      • Lint
      • Mlib
        • Scopestack
        • Filtering-by-name
        • Vl-namefactory
        • Substitution
          • Vl-packeddimensionlist-subst
          • Vl-namedparamvaluelist-subst
          • Vl-paramvaluelist-subst
          • Vl-paramdecllist-subst
          • Vl-portdecllist-subst
          • Vl-plainarglist-subst
          • Vl-namedarglist-subst
          • Vl-gateinstlist-subst
          • Vl-enumitemlist-subst
          • Vl-vardecllist-subst
          • Vl-modinstlist-subst
          • Vl-initiallist-subst
          • Vl-fundecllist-subst
          • Vl-expr-subst
          • Vl-modulelist-subst
          • Vl-evatomlist-subst
          • Vl-assignlist-subst
          • Vl-alwayslist-subst
          • Vl-rangelist-subst
          • Vl-portlist-subst
          • Vl-stmt-subst
          • Vl-maybe-delayoreventcontrol-subst
          • Vl-repeateventcontrol-subst
          • Vl-maybe-packeddimension-subst
          • Vl-delayoreventcontrol-subst
          • Vl-packeddimension-subst
          • Vl-namedparamvalue-subst
          • Vl-module-subst
          • Vl-maybe-paramvalue-subst
          • Vl-paramvalue-subst
          • Vl-paramtype-subst
          • Vl-modinst-subst
          • Vl-maybe-gatedelay-subst
          • Vl-maybe-datatype-subst
          • Vl-interfaceport-subst
          • Vl-gateinst-subst
          • Vl-fundecl-subst
          • Vl-eventcontrol-subst
          • Vl-enumbasetype-subst
          • Vl-delaycontrol-subst
          • Vl-vardecl-subst
          • Vl-regularport-subst
          • Vl-portdecl-subst
          • Vl-plainarg-subst
          • Vl-paramdecl-subst
          • Vl-paramargs-subst
          • Vl-namedarg-subst
          • Vl-maybe-range-subst
          • Vl-gatedelay-subst
          • Vl-enumitem-subst
          • Vl-assign-subst
          • Vl-arguments-subst
          • Vl-range-subst
          • Vl-maybe-expr-subst
          • Vl-initial-subst
          • Vl-evatom-subst
          • Vl-always-subst
          • Vl-port-subst
          • Vl-sigma-count
          • Vl-sigma
        • Allexprs
        • Hid-tools
        • Vl-consteval
        • Range-tools
        • Lvalexprs
        • Hierarchy
        • Finding-by-name
        • Expr-tools
        • Expr-slicing
        • Stripping-functions
        • Stmt-tools
        • Modnamespace
        • Vl-parse-expr-from-str
        • Welltyped
        • Reordering-by-name
        • Flat-warnings
        • Genblob
        • Expr-building
        • Datatype-tools
        • Syscalls
        • Relocate
        • Expr-cleaning
        • Namemangle
        • Caremask
        • Port-tools
        • Lvalues
      • Server
      • Kit
      • Printer
      • Esim-vl
      • Well-formedness
    • Sv
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Substitution

Vl-gatedelay-subst

Substitute into a vl-gatedelay-p.

Signature

(vl-gatedelay-subst x sigma) → new-x

Arguments

x — Guard (vl-gatedelay-p x).

sigma — Guard (vl-sigma-p sigma).

Returns

new-x — Type (vl-gatedelay-p new-x).

Definitions and Theorems

Function: vl-gatedelay-subst

(defun vl-gatedelay-subst (x sigma)
  (declare (xargs :guard (and (vl-gatedelay-p x)
                              (vl-sigma-p sigma))))
  (declare (ignorable x sigma))
  (let ((__function__ 'vl-gatedelay-subst))
    (declare (ignorable __function__))
    (change-vl-gatedelay
         x
         :rise (vl-expr-subst (vl-gatedelay->rise x)
                              sigma)
         :fall (vl-expr-subst (vl-gatedelay->fall x)
                              sigma)
         :high (vl-maybe-expr-subst (vl-gatedelay->high x)
                                    sigma))))

Theorem: vl-gatedelay-p-of-vl-gatedelay-subst

(defthm vl-gatedelay-p-of-vl-gatedelay-subst
  (b* ((new-x (vl-gatedelay-subst x sigma)))
    (vl-gatedelay-p new-x))
  :rule-classes :rewrite)

Theorem: vl-gatedelay-subst-of-vl-gatedelay-fix-x

(defthm vl-gatedelay-subst-of-vl-gatedelay-fix-x
  (equal (vl-gatedelay-subst (vl-gatedelay-fix x)
                             sigma)
         (vl-gatedelay-subst x sigma)))

Theorem: vl-gatedelay-subst-vl-gatedelay-equiv-congruence-on-x

(defthm vl-gatedelay-subst-vl-gatedelay-equiv-congruence-on-x
  (implies (vl-gatedelay-equiv x x-equiv)
           (equal (vl-gatedelay-subst x sigma)
                  (vl-gatedelay-subst x-equiv sigma)))
  :rule-classes :congruence)

Theorem: vl-gatedelay-subst-of-vl-sigma-fix-sigma

(defthm vl-gatedelay-subst-of-vl-sigma-fix-sigma
  (equal (vl-gatedelay-subst x (vl-sigma-fix sigma))
         (vl-gatedelay-subst x sigma)))

Theorem: vl-gatedelay-subst-vl-sigma-equiv-congruence-on-sigma

(defthm vl-gatedelay-subst-vl-sigma-equiv-congruence-on-sigma
  (implies (vl-sigma-equiv sigma sigma-equiv)
           (equal (vl-gatedelay-subst x sigma)
                  (vl-gatedelay-subst x sigma-equiv)))
  :rule-classes :congruence)