• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
    • Debugging
    • Community
    • Std
    • Proof-automation
    • Macro-libraries
      • B*
      • Defunc
      • Fty
      • Apt
        • Isodata
        • Simplify-defun
        • Tailrec
        • Schemalg
        • Restrict
        • Expdata
          • Expdata-implementation
            • Expdata-event-generation
              • Expdata-gen-everything
              • Expdata-gen-thm-instances-to-terms-back
              • Expdata-gen-new-fn-body-nonpred
              • Expdata-gen-new-fn
              • Expdata-gen-new-fn-verify-guards
              • Expdata-gen-new-fn-verify-guards-hints-nonpred-rec-1res/mres
              • Expdata-gen-back-of-forth-instances-to-terms-back
              • Expdata-gen-new-fn-verify-guards-hints-nonpred-nonrec-1res/mres
              • Expdata-gen-forth-image-instances-to-terms-back
              • Expdata-gen-forth-guard-instances-to-terms-back
              • Expdata-gen-new-to-old-thm-hints-rec-1res
              • Expdata-gen-defsurj
                • Expdata-gen-new-to-old-thm-hints-rec-mres
                • Expdata-gen-lemma-instances-var-to-new-forth-rec-call-args-back
                • Expdata-gen-new-fn-verify-guards-hints-pred-rec
                • Expdata-gen-lemma-instances-x1...xn-to-forth-rec-call-args-back
                • Expdata-gen-thm-instances-to-x1...xn
                • Expdata-gen-newp-of-new-thm-hints
                • Expdata-gen-all-back-guard-instances-to-mv-nth
                • Expdata-gen-result-vars
                • Expdata-gen-lemma-instances-x1...xn-to-rec-call-args-back
                • Expdata-gen-new-to-old-thm-hints-rec-0res
                • Expdata-gen-new-fn-verify-guards-hints-nonpred-rec-0res
                • Expdata-gen-newp-of-new-thm
                • Expdata-gen-new-to-old-thm
                • Expdata-gen-lemma-instances-var-to-rec-calls-back
                • Expdata-gen-new-fn-body-pred
                • Expdata-gen-old-to-new-thm-hints-1res
                • Expdata-gen-new-fn-verify-guards-hints-nonpred
                • Expdata-gen-new-fn-verify-guards-hints
                • Expdata-gen-all-back-of-forth-instances-to-terms-back
                • Expdata-gen-old-to-new-thm
                • Expdata-gen-new-to-old-thm-hints
                • Expdata-gen-new-fn-verify-guards-hints-pred-nonrec
                • Expdata-gen-all-forth-image-instances-to-terms-back
                • Expdata-gen-all-forth-guard-instances-to-terms-back
                • Expdata-gen-old-to-new-thm-hints-mres
                • Expdata-gen-appconds
                • Expdata-xform-rec-calls
                • Expdata-gen-back-of-forth-instances-to-mv-nth
                • Expdata-gen-lemma-instance-x1...xn-to-forth-of-x1...xn
                • Expdata-gen-forth-image-instances-to-mv-nth
                • Expdata-gen-forth-guard-instances-to-mv-nth
                • Expdata-gen-back-guard-instances-to-mv-nth
                • Expdata-gen-all-back-of-forth-instances-to-mv-nth
                • Expdata-gen-old-to-new-thm-formula
                • Expdata-gen-newp-guard-instances-to-x1...xn
                • Expdata-gen-new-to-old-thm-formula
                • Expdata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res
                • Expdata-gen-lemma-instance-x1...xn-to-back-of-x1...xn
                • Expdata-gen-forth-image-instances-to-x1...xn
                • Expdata-gen-forth-image-instances-to-terms-back-aux
                • Expdata-gen-forth-guard-instances-to-x1...xn
                • Expdata-gen-forth-guard-instances-to-terms-back-aux
                • Expdata-gen-back-of-forth-instances-to-x1...xn
                • Expdata-gen-back-of-forth-instances-to-terms-back-aux
                • Expdata-gen-back-image-instances-to-x1...xn
                • Expdata-gen-back-guard-instances-to-x1...xn
                • Expdata-gen-newp-of-new-thm-formula
                • Expdata-gen-fn-of-terms
                • Expdata-gen-oldp-of-rec-call-args-under-contexts
                • Expdata-gen-new-fn-termination-hints
                • Expdata-gen-old-to-new-thm-hints
                • Expdata-gen-lemma-instance-x1...xn-to-fn-of-x1...xn
                • Expdata-gen-old-to-new-thm-hints-0res
                • Expdata-gen-new-fn-verify-guards-hints-pred
                • Expdata-gen-new-to-old-thm-hints-nonrec
                • Expdata-gen-subst-x1...xn-with-back-of-x1...xn
                • Expdata-gen-oldp-of-terms
                • Expdata-gen-newp-of-terms
                • Expdata-gen-new-fn-body
                • Expdata-gen-forth-of-terms
                • Expdata-gen-defsurjs
                • Expdata-gen-back-of-terms
                • Expdata-gen-new-fn-guard
                • Expdata-gen-result-vars-aux
                • Expdata-gen-new-fn-measure
                • Expdata-formal-of-newp
                • Expdata-formal-of-forth
                • Expdata-formal-of-back
                • Expdata-formal-of-unary
              • Expdata-fn
              • Expdata-input-processing
              • Expdata-macro-definition
          • Casesplit
          • Simplify-term
          • Simplify-defun-sk
          • Parteval
          • Solve
          • Wrap-output
          • Propagate-iso
          • Simplify
          • Finite-difference
          • Drop-irrelevant-params
          • Copy-function
          • Lift-iso
          • Rename-params
          • Utilities
          • Simplify-term-programmatic
          • Simplify-defun-sk-programmatic
          • Simplify-defun-programmatic
          • Simplify-defun+
          • Common-options
          • Common-concepts
        • Std/util
        • Defdata
        • Defrstobj
        • Seq
        • Match-tree
        • Defrstobj
        • With-supporters
        • Def-partial-measure
        • Template-subst
        • Soft
        • Defthm-domain
        • Event-macros
        • Def-universal-equiv
        • Def-saved-obligs
        • With-supporters-after
        • Definec
        • Sig
        • Outer-local
        • Data-structures
      • ACL2
        • Theories
        • Rule-classes
        • Proof-builder
        • Recursion-and-induction
        • Hons-and-memoization
        • Events
        • Parallelism
        • History
        • Programming
        • Operational-semantics
        • Real
        • Start-here
        • Miscellaneous
        • Output-controls
        • Bdd
        • Macros
          • Make-event
          • Defmacro
          • Untranslate-patterns
          • Tc
          • Trans*
          • Macro-aliases-table
          • Macro-args
          • Defabbrev
          • User-defined-functions-table
          • Trans
          • Untranslate-for-execution
          • Macro-libraries
            • B*
            • Defunc
            • Fty
            • Apt
              • Isodata
              • Simplify-defun
              • Tailrec
              • Schemalg
              • Restrict
              • Expdata
                • Expdata-implementation
                  • Expdata-event-generation
                    • Expdata-gen-everything
                    • Expdata-gen-thm-instances-to-terms-back
                    • Expdata-gen-new-fn-body-nonpred
                    • Expdata-gen-new-fn
                    • Expdata-gen-new-fn-verify-guards
                    • Expdata-gen-new-fn-verify-guards-hints-nonpred-rec-1res/mres
                    • Expdata-gen-back-of-forth-instances-to-terms-back
                    • Expdata-gen-new-fn-verify-guards-hints-nonpred-nonrec-1res/mres
                    • Expdata-gen-forth-image-instances-to-terms-back
                    • Expdata-gen-forth-guard-instances-to-terms-back
                    • Expdata-gen-new-to-old-thm-hints-rec-1res
                    • Expdata-gen-defsurj
                      • Expdata-gen-new-to-old-thm-hints-rec-mres
                      • Expdata-gen-lemma-instances-var-to-new-forth-rec-call-args-back
                      • Expdata-gen-new-fn-verify-guards-hints-pred-rec
                      • Expdata-gen-lemma-instances-x1...xn-to-forth-rec-call-args-back
                      • Expdata-gen-thm-instances-to-x1...xn
                      • Expdata-gen-newp-of-new-thm-hints
                      • Expdata-gen-all-back-guard-instances-to-mv-nth
                      • Expdata-gen-result-vars
                      • Expdata-gen-lemma-instances-x1...xn-to-rec-call-args-back
                      • Expdata-gen-new-to-old-thm-hints-rec-0res
                      • Expdata-gen-new-fn-verify-guards-hints-nonpred-rec-0res
                      • Expdata-gen-newp-of-new-thm
                      • Expdata-gen-new-to-old-thm
                      • Expdata-gen-lemma-instances-var-to-rec-calls-back
                      • Expdata-gen-new-fn-body-pred
                      • Expdata-gen-old-to-new-thm-hints-1res
                      • Expdata-gen-new-fn-verify-guards-hints-nonpred
                      • Expdata-gen-new-fn-verify-guards-hints
                      • Expdata-gen-all-back-of-forth-instances-to-terms-back
                      • Expdata-gen-old-to-new-thm
                      • Expdata-gen-new-to-old-thm-hints
                      • Expdata-gen-new-fn-verify-guards-hints-pred-nonrec
                      • Expdata-gen-all-forth-image-instances-to-terms-back
                      • Expdata-gen-all-forth-guard-instances-to-terms-back
                      • Expdata-gen-old-to-new-thm-hints-mres
                      • Expdata-gen-appconds
                      • Expdata-xform-rec-calls
                      • Expdata-gen-back-of-forth-instances-to-mv-nth
                      • Expdata-gen-lemma-instance-x1...xn-to-forth-of-x1...xn
                      • Expdata-gen-forth-image-instances-to-mv-nth
                      • Expdata-gen-forth-guard-instances-to-mv-nth
                      • Expdata-gen-back-guard-instances-to-mv-nth
                      • Expdata-gen-all-back-of-forth-instances-to-mv-nth
                      • Expdata-gen-old-to-new-thm-formula
                      • Expdata-gen-newp-guard-instances-to-x1...xn
                      • Expdata-gen-new-to-old-thm-formula
                      • Expdata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res
                      • Expdata-gen-lemma-instance-x1...xn-to-back-of-x1...xn
                      • Expdata-gen-forth-image-instances-to-x1...xn
                      • Expdata-gen-forth-image-instances-to-terms-back-aux
                      • Expdata-gen-forth-guard-instances-to-x1...xn
                      • Expdata-gen-forth-guard-instances-to-terms-back-aux
                      • Expdata-gen-back-of-forth-instances-to-x1...xn
                      • Expdata-gen-back-of-forth-instances-to-terms-back-aux
                      • Expdata-gen-back-image-instances-to-x1...xn
                      • Expdata-gen-back-guard-instances-to-x1...xn
                      • Expdata-gen-newp-of-new-thm-formula
                      • Expdata-gen-fn-of-terms
                      • Expdata-gen-oldp-of-rec-call-args-under-contexts
                      • Expdata-gen-new-fn-termination-hints
                      • Expdata-gen-old-to-new-thm-hints
                      • Expdata-gen-lemma-instance-x1...xn-to-fn-of-x1...xn
                      • Expdata-gen-old-to-new-thm-hints-0res
                      • Expdata-gen-new-fn-verify-guards-hints-pred
                      • Expdata-gen-new-to-old-thm-hints-nonrec
                      • Expdata-gen-subst-x1...xn-with-back-of-x1...xn
                      • Expdata-gen-oldp-of-terms
                      • Expdata-gen-newp-of-terms
                      • Expdata-gen-new-fn-body
                      • Expdata-gen-forth-of-terms
                      • Expdata-gen-defsurjs
                      • Expdata-gen-back-of-terms
                      • Expdata-gen-new-fn-guard
                      • Expdata-gen-result-vars-aux
                      • Expdata-gen-new-fn-measure
                      • Expdata-formal-of-newp
                      • Expdata-formal-of-forth
                      • Expdata-formal-of-back
                      • Expdata-formal-of-unary
                    • Expdata-fn
                    • Expdata-input-processing
                    • Expdata-macro-definition
                • Casesplit
                • Simplify-term
                • Simplify-defun-sk
                • Parteval
                • Solve
                • Wrap-output
                • Propagate-iso
                • Simplify
                • Finite-difference
                • Drop-irrelevant-params
                • Copy-function
                • Lift-iso
                • Rename-params
                • Utilities
                • Simplify-term-programmatic
                • Simplify-defun-sk-programmatic
                • Simplify-defun-programmatic
                • Simplify-defun+
                • Common-options
                • Common-concepts
              • Std/util
              • Defdata
              • Defrstobj
              • Seq
              • Match-tree
              • Defrstobj
              • With-supporters
              • Def-partial-measure
              • Template-subst
              • Soft
              • Defthm-domain
              • Event-macros
              • Def-universal-equiv
              • Def-saved-obligs
              • With-supporters-after
              • Definec
              • Sig
              • Outer-local
              • Data-structures
            • Add-macro-fn
            • Check-vars-not-free
            • Safe-mode
            • Trans1
            • Defmacro-untouchable
            • Set-duplicate-keys-action
            • Add-macro-alias
            • Magic-macroexpand
            • Defmacroq
            • Trans!
            • Remove-macro-fn
            • Remove-macro-alias
            • Add-binop
            • Untrans-table
            • Trans*-
            • Remove-binop
            • Tcp
            • Tca
          • Installation
          • Mailing-lists
        • Interfacing-tools
        • Hardware-verification
        • Software-verification
        • Math
        • Testing-utilities
      • Expdata-event-generation

      Expdata-gen-defsurj

      Generate a local defsurj.

      Signature
      (expdata-gen-defsurj surjmap verify-guards$ print$) → event
      Arguments
      surjmap — Guard (expdata-surjmapp surjmap).
      verify-guards$ — Guard (booleanp verify-guards$).
      print$ — Guard (evmac-input-print-p print$).
      Returns
      event — Type (pseudo-event-formp event).

      When the surj input is not a name, expdata internally generates and uses a defsurj, so that the rest of the generated events can uniformly rely on a defsurj that has established the surjective mapping.

      This event is local to the encapsulate generated by expdata.

      Since the defsurj is local, we normally do not want to print its result or info output. But we want to print errors. So we pass :error as the :print input. However, if expdata's :print input is :all, the we use :all for defsurj's :print input as well.

      This is also used for the identity surjective mapping, which is also locally generated.

      Definitions and Theorems

      Function: expdata-gen-defsurj

      (defun expdata-gen-defsurj (surjmap verify-guards$ print$)
       (declare (xargs :guard (and (expdata-surjmapp surjmap)
                                   (booleanp verify-guards$)
                                   (evmac-input-print-p print$))))
       (declare (xargs :guard (expdata-surjmap->localp surjmap)))
       (let ((__function__ 'expdata-gen-defsurj))
        (declare (ignorable __function__))
        (b*
         (((expdata-surjmap surjmap) surjmap)
          (name surjmap.surjname)
          (doma surjmap.newp)
          (domb surjmap.oldp)
          (alpha surjmap.back)
          (beta surjmap.forth)
          (unconditional nil)
          (guard-thms verify-guards$)
          (nonguard-thm-names
               (list :alpha-image surjmap.back-image
                     :beta-image surjmap.forth-image
                     :alpha-of-beta surjmap.back-of-forth
                     :beta-injective surjmap.forth-injective))
          (guard-thm-names? (and guard-thms
                                 (list :doma-guard surjmap.newp-guard
                                       :domb-guard surjmap.oldp-guard
                                       :alpha-guard surjmap.back-guard
                                       :beta-guard surjmap.forth-guard)))
          (thm-names (append nonguard-thm-names guard-thm-names?))
          (hints surjmap.hints)
          (print (if (eq print$ :all) :all :error)))
         (cons
          'local
          (cons
           (cons
            'defsurj
            (cons
             name
             (cons
              doma
              (cons
               domb
               (cons
                alpha
                (cons
                 beta
                 (cons
                  ':unconditional
                  (cons
                   unconditional
                   (cons
                    ':guard-thms
                    (cons
                     guard-thms
                     (cons
                      ':thm-names
                      (cons
                        thm-names
                        (cons ':hints
                              (cons hints
                                    (cons ':print
                                          (cons print 'nil))))))))))))))))
           'nil)))))

      Theorem: pseudo-event-formp-of-expdata-gen-defsurj

      (defthm pseudo-event-formp-of-expdata-gen-defsurj
        (b* ((event (expdata-gen-defsurj surjmap verify-guards$ print$)))
          (pseudo-event-formp event))
        :rule-classes :rewrite)