• 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-outputline
          • Svtv-condoverride
          • Svtv-line
          • Svtv-inputmap
            • Svtv-inputmap-fix
            • Svtv-inputmap-p
            • Svtv-inputmap-equiv
          • 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-inputmap

Svtv-inputmap-p

Recognizer for svtv-inputmap.

Signature

(svtv-inputmap-p x) → *

Definitions and Theorems

Function: svtv-inputmap-p

(defun svtv-inputmap-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'svtv-inputmap-p))
    (declare (ignorable __function__))
    (if (atom x)
        (eq x nil)
      (and (consp (car x))
           (svar-p (caar x))
           (svtv-inputtype-p (cdar x))
           (svtv-inputmap-p (cdr x))))))

Theorem: svtv-inputmap-p-of-append

(defthm svtv-inputmap-p-of-append
  (equal (svtv-inputmap-p (append acl2::a acl2::b))
         (and (svtv-inputmap-p (list-fix acl2::a))
              (svtv-inputmap-p acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: svtv-inputmap-p-of-repeat

(defthm svtv-inputmap-p-of-repeat
  (iff (svtv-inputmap-p (repeat acl2::n x))
       (or (and (consp x)
                (svar-p (car x))
                (svtv-inputtype-p (cdr x)))
           (zp acl2::n)))
  :rule-classes ((:rewrite)))

Theorem: svtv-inputmap-p-of-rev

(defthm svtv-inputmap-p-of-rev
  (equal (svtv-inputmap-p (rev x))
         (svtv-inputmap-p (list-fix x)))
  :rule-classes ((:rewrite)))

Theorem: svtv-inputmap-p-of-list-fix

(defthm svtv-inputmap-p-of-list-fix
  (implies (svtv-inputmap-p x)
           (svtv-inputmap-p (list-fix x)))
  :rule-classes ((:rewrite)))

Theorem: true-listp-when-svtv-inputmap-p-compound-recognizer

(defthm true-listp-when-svtv-inputmap-p-compound-recognizer
  (implies (svtv-inputmap-p x)
           (true-listp x))
  :rule-classes :compound-recognizer)

Theorem: svtv-inputmap-p-when-not-consp

(defthm svtv-inputmap-p-when-not-consp
  (implies (not (consp x))
           (equal (svtv-inputmap-p x) (not x)))
  :rule-classes ((:rewrite)))

Theorem: svtv-inputmap-p-of-cdr-when-svtv-inputmap-p

(defthm svtv-inputmap-p-of-cdr-when-svtv-inputmap-p
  (implies (svtv-inputmap-p (double-rewrite x))
           (svtv-inputmap-p (cdr x)))
  :rule-classes ((:rewrite)))

Theorem: svtv-inputmap-p-of-cons

(defthm svtv-inputmap-p-of-cons
  (equal (svtv-inputmap-p (cons acl2::a x))
         (and (and (consp acl2::a)
                   (svar-p (car acl2::a))
                   (svtv-inputtype-p (cdr acl2::a)))
              (svtv-inputmap-p x)))
  :rule-classes ((:rewrite)))

Theorem: svtv-inputmap-p-of-remove-assoc

(defthm svtv-inputmap-p-of-remove-assoc
  (implies (svtv-inputmap-p x)
           (svtv-inputmap-p (remove-assoc-equal acl2::name x)))
  :rule-classes ((:rewrite)))

Theorem: svtv-inputmap-p-of-put-assoc

(defthm svtv-inputmap-p-of-put-assoc
 (implies
     (and (svtv-inputmap-p x))
     (iff (svtv-inputmap-p (put-assoc-equal acl2::name acl2::val x))
          (and (svar-p acl2::name)
               (svtv-inputtype-p acl2::val))))
 :rule-classes ((:rewrite)))

Theorem: svtv-inputmap-p-of-fast-alist-clean

(defthm svtv-inputmap-p-of-fast-alist-clean
  (implies (svtv-inputmap-p x)
           (svtv-inputmap-p (fast-alist-clean x)))
  :rule-classes ((:rewrite)))

Theorem: svtv-inputmap-p-of-hons-shrink-alist

(defthm svtv-inputmap-p-of-hons-shrink-alist
  (implies (and (svtv-inputmap-p x)
                (svtv-inputmap-p y))
           (svtv-inputmap-p (hons-shrink-alist x y)))
  :rule-classes ((:rewrite)))

Theorem: svtv-inputmap-p-of-hons-acons

(defthm svtv-inputmap-p-of-hons-acons
  (equal (svtv-inputmap-p (hons-acons acl2::a acl2::n x))
         (and (svar-p acl2::a)
              (svtv-inputtype-p acl2::n)
              (svtv-inputmap-p x)))
  :rule-classes ((:rewrite)))

Theorem: svtv-inputtype-p-of-cdr-of-hons-assoc-equal-when-svtv-inputmap-p

(defthm
   svtv-inputtype-p-of-cdr-of-hons-assoc-equal-when-svtv-inputmap-p
 (implies (svtv-inputmap-p x)
          (iff (svtv-inputtype-p (cdr (hons-assoc-equal acl2::k x)))
               (or (hons-assoc-equal acl2::k x)
                   (svtv-inputtype-p nil))))
 :rule-classes ((:rewrite)))

Theorem: alistp-when-svtv-inputmap-p-rewrite

(defthm alistp-when-svtv-inputmap-p-rewrite
  (implies (svtv-inputmap-p x) (alistp x))
  :rule-classes ((:rewrite)))

Theorem: alistp-when-svtv-inputmap-p

(defthm alistp-when-svtv-inputmap-p
  (implies (svtv-inputmap-p x) (alistp x))
  :rule-classes :tau-system)

Theorem: svtv-inputtype-p-of-cdar-when-svtv-inputmap-p

(defthm svtv-inputtype-p-of-cdar-when-svtv-inputmap-p
  (implies (svtv-inputmap-p x)
           (iff (svtv-inputtype-p (cdar x))
                (or (consp x) (svtv-inputtype-p nil))))
  :rule-classes ((:rewrite)))

Theorem: svar-p-of-caar-when-svtv-inputmap-p

(defthm svar-p-of-caar-when-svtv-inputmap-p
  (implies (svtv-inputmap-p x)
           (iff (svar-p (caar x))
                (or (consp x) (svar-p nil))))
  :rule-classes ((:rewrite)))