• 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-baseentry-p
          • Svtv-entry-p
          • Svtv-outentry-p
          • Svtv-outentry-fix
          • Svtv-baseentry-fix
          • Svtv-entry-fix
          • Svtv-overrideline
            • Svtv-overrideline-fix
            • Svtv-overrideline-equiv
            • Make-svtv-overrideline
            • Svtv-overrideline->entries
            • Change-svtv-overrideline
            • Svtv-overrideline->val
            • Svtv-overrideline->test
            • Svtv-overrideline->lhs
            • Svtv-overrideline-p
          • Svtv-outputline
          • Svtv-condoverride
          • Svtv-line
          • Svtv-inputmap
          • Svtv-outentrylist
          • Svtv-lines
          • Svtv-entrylist
          • Svtv-overridelines
          • Svtv-outputs
          • Svtv-inputtype-p
          • Svtv-dontcare-p
        • Svtv-debug
        • 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
    • Fgl
    • Vwsim
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Svtv-overrideline

Svtv-overrideline-fix

Fixing function for svtv-overrideline structures.

Signature

(svtv-overrideline-fix x) → new-x

Arguments

x — Guard (svtv-overrideline-p x).

Returns

new-x — Type (svtv-overrideline-p new-x).

Definitions and Theorems

Function: svtv-overrideline-fix$inline

(defun svtv-overrideline-fix$inline (x)
 (declare (xargs :guard (svtv-overrideline-p x)))
 (let ((__function__ 'svtv-overrideline-fix))
  (declare (ignorable __function__))
  (mbe
    :logic
    (b*
      ((lhs (lhs-fix (std::prod-car (std::prod-car x))))
       (test (svar-fix (std::prod-cdr (std::prod-car x))))
       (val (svar-fix (std::prod-car (std::prod-cdr x))))
       (entries
            (svtv-entrylist-fix (std::prod-cdr (std::prod-cdr x)))))
      (std::prod-cons (std::prod-cons lhs test)
                      (std::prod-cons val entries)))
    :exec x)))

Theorem: svtv-overrideline-p-of-svtv-overrideline-fix

(defthm svtv-overrideline-p-of-svtv-overrideline-fix
  (b* ((new-x (svtv-overrideline-fix$inline x)))
    (svtv-overrideline-p new-x))
  :rule-classes :rewrite)

Theorem: svtv-overrideline-fix-when-svtv-overrideline-p

(defthm svtv-overrideline-fix-when-svtv-overrideline-p
  (implies (svtv-overrideline-p x)
           (equal (svtv-overrideline-fix x) x)))

Function: svtv-overrideline-equiv$inline

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

Theorem: svtv-overrideline-equiv-is-an-equivalence

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

Theorem: svtv-overrideline-equiv-implies-equal-svtv-overrideline-fix-1

(defthm
      svtv-overrideline-equiv-implies-equal-svtv-overrideline-fix-1
  (implies (svtv-overrideline-equiv x x-equiv)
           (equal (svtv-overrideline-fix x)
                  (svtv-overrideline-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: svtv-overrideline-fix-under-svtv-overrideline-equiv

(defthm svtv-overrideline-fix-under-svtv-overrideline-equiv
  (svtv-overrideline-equiv (svtv-overrideline-fix x)
                           x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-svtv-overrideline-fix-1-forward-to-svtv-overrideline-equiv

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

Theorem: equal-of-svtv-overrideline-fix-2-forward-to-svtv-overrideline-equiv

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

Theorem: svtv-overrideline-equiv-of-svtv-overrideline-fix-1-forward

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

Theorem: svtv-overrideline-equiv-of-svtv-overrideline-fix-2-forward

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