• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
    • Sv
      • Svex-stvs
        • Svtv-data
        • Defsvtv$
        • Svtv-run
        • Defsvtv-phasewise
        • Svtv
        • Svtv-spec
        • Defsvtv
        • Process.lisp
        • Svtv-doc
        • Svtv-chase$
        • Svtv-versus-stv
        • Svtv-debug-fsm
        • Structure.lisp
        • Svtv-debug
          • Vcd.lisp
            • Elab-mod->vcd-wires
            • Vcd-scope
            • Vcd-wire
            • Vcd-print-4vec-aux
            • Vcd-dump-delta
            • Vcd-wirelist-add-to-wiremap
            • Vcd-print-header
            • Vcd-dump-first-snapshot-aux
            • Vcd-dump-delta-aux
            • Vcd-wiremap
            • 4vecarr
            • Vcd-print-wiredecls
            • Vcd-4vec-bitstr
            • Vcd-index->codechars
            • Vcd-wire->width
            • Vcd-index->codestr
            • Vcd-dump-first-snapshot
            • Vcd-wirelist
              • Vcd-wirelist-fix
              • Vcd-wirelist-equiv
              • Vcd-wirelist-p
          • Debug.lisp
        • Def-pipeline-thm
        • Expand.lisp
        • Def-cycle-thm
        • Svtv-utilities
        • Svtv-debug$
        • Defsvtv$-phasewise
      • 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
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Vcd-wirelist

Vcd-wirelist-equiv

Basic equivalence relation for vcd-wirelist structures.

Definitions and Theorems

Function: vcd-wirelist-equiv$inline

(defun vcd-wirelist-equiv$inline (x y)
  (declare (xargs :guard (and (vcd-wirelist-p x)
                              (vcd-wirelist-p y))))
  (equal (vcd-wirelist-fix x)
         (vcd-wirelist-fix y)))

Theorem: vcd-wirelist-equiv-is-an-equivalence

(defthm vcd-wirelist-equiv-is-an-equivalence
  (and (booleanp (vcd-wirelist-equiv x y))
       (vcd-wirelist-equiv x x)
       (implies (vcd-wirelist-equiv x y)
                (vcd-wirelist-equiv y x))
       (implies (and (vcd-wirelist-equiv x y)
                     (vcd-wirelist-equiv y z))
                (vcd-wirelist-equiv x z)))
  :rule-classes (:equivalence))

Theorem: vcd-wirelist-equiv-implies-equal-vcd-wirelist-fix-1

(defthm vcd-wirelist-equiv-implies-equal-vcd-wirelist-fix-1
  (implies (vcd-wirelist-equiv x x-equiv)
           (equal (vcd-wirelist-fix x)
                  (vcd-wirelist-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: vcd-wirelist-fix-under-vcd-wirelist-equiv

(defthm vcd-wirelist-fix-under-vcd-wirelist-equiv
  (vcd-wirelist-equiv (vcd-wirelist-fix x)
                      x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-vcd-wirelist-fix-1-forward-to-vcd-wirelist-equiv

(defthm equal-of-vcd-wirelist-fix-1-forward-to-vcd-wirelist-equiv
  (implies (equal (vcd-wirelist-fix x) y)
           (vcd-wirelist-equiv x y))
  :rule-classes :forward-chaining)

Theorem: equal-of-vcd-wirelist-fix-2-forward-to-vcd-wirelist-equiv

(defthm equal-of-vcd-wirelist-fix-2-forward-to-vcd-wirelist-equiv
  (implies (equal x (vcd-wirelist-fix y))
           (vcd-wirelist-equiv x y))
  :rule-classes :forward-chaining)

Theorem: vcd-wirelist-equiv-of-vcd-wirelist-fix-1-forward

(defthm vcd-wirelist-equiv-of-vcd-wirelist-fix-1-forward
  (implies (vcd-wirelist-equiv (vcd-wirelist-fix x)
                               y)
           (vcd-wirelist-equiv x y))
  :rule-classes :forward-chaining)

Theorem: vcd-wirelist-equiv-of-vcd-wirelist-fix-2-forward

(defthm vcd-wirelist-equiv-of-vcd-wirelist-fix-2-forward
  (implies (vcd-wirelist-equiv x (vcd-wirelist-fix y))
           (vcd-wirelist-equiv x y))
  :rule-classes :forward-chaining)