• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
    • Debugging
    • Community
    • Std
    • Proof-automation
    • Macro-libraries
    • ACL2
    • Interfacing-tools
    • Hardware-verification
    • Software-verification
      • Kestrel-books
        • Crypto-hdwallet
        • Apt
          • Isodata
            • Isodata-implementation
              • Isodata-event-generation
                • Isodata-gen-everything
                • Isodata-gen-thm-instances-to-terms-back
                • Isodata-gen-new-fn
                • Isodata-gen-new-fn-body-nonpred
                • Isodata-gen-new-fn-verify-guards
                • Isodata-gen-new-fn-verify-guards-hints-nonpred-rec-1res/mres
                • Isodata-gen-new-to-list-of-mv-nth
                • Isodata-gen-new-to-old-lemma
                • Isodata-gen-forth-image-instances-to-terms-back
                • Isodata-gen-forth-guard-instances-to-terms-back
                • Isodata-gen-back-of-forth-instances-to-terms-back
                • Isodata-gen-new-fn-verify-guards-hints-nonpred-nonrec-1res/mres
                • Isodata-gen-defiso
                • Isodata-gen-new-to-old-lemma-hints
                • Isodata-gen-old-to-new-lemma
                • Isodata-gen-new-to-old-thm-hints-1res
                • Isodata-gen-lemma-instances-var-to-new-forth-rec-call-args-back
                • Isodata-gen-new-to-old-thm
                • Isodata-gen-lemma-instances-x1...xn-to-forth-rec-call-args-back
                • Isodata-gen-thm-instances-to-x1...xn
                • Isodata-gen-old-to-new-thm
                • Isodata-gen-new-fn-verify-guards-hints-pred-rec
                • Isodata-gen-all-back-guard-instances-to-mv-nth
                • Isodata-gen-newp-of-new-thm-hints
                • Isodata-gen-lemma-instances-x1...xn-to-rec-call-args-back
                • Isodata-gen-result-vars
                • Isodata-gen-old-to-new-lemma-hints
                • Isodata-gen-newp-of-new-thm
                • Isodata-gen-new-to-old-thm-hints-0res
                • Isodata-gen-new-to-old-thm-hints
                • Isodata-gen-new-fn-verify-guards-hints-nonpred-rec-0res
                • Isodata-gen-lemma-instances-var-to-rec-calls-back
                • Isodata-gen-new-fn-body-pred
                • Isodata-gen-all-back-of-forth-instances-to-mv-nth
                • Isodata-gen-new-fn-verify-guards-hints-nonpred
                • Isodata-gen-new-fn-verify-guards-hints
                • Isodata-gen-all-back-of-forth-instances-to-terms-back
                • Isodata-gen-old-to-new-thm-hints-1res
                • Isodata-gen-all-forth-image-instances-to-terms-back
                • Isodata-gen-all-forth-guard-instances-to-terms-back
                • Isodata-gen-old-to-new-thm-hints
                • Isodata-gen-old-to-list-of-mv-nth
                • Isodata-gen-new-fn-verify-guards-hints-pred-nonrec
                • Isodata-gen-appconds
                • Isodata-gen-forth-image-instances-to-mv-nth
                • Isodata-gen-forth-guard-instances-to-mv-nth
                • Isodata-gen-back-of-forth-instances-to-mv-nth
                • Isodata-gen-back-guard-instances-to-mv-nth
                • Isodata-xform-rec-calls
                • Isodata-gen-old-to-new-thm-formula
                • Isodata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res
                  • Isodata-gen-lemma-instance-x1...xn-to-forth-of-x1...xn
                  • Isodata-gen-lemma-instance-x1...xn-to-back-of-x1...xn
                  • Isodata-gen-forth-image-instances-to-x1...xn
                  • Isodata-gen-forth-guard-instances-to-x1...xn
                  • Isodata-gen-back-of-forth-instances-to-x1...xn
                  • Isodata-gen-old-to-new-lemma-formula
                  • Isodata-gen-newp-of-new-thm-formula
                  • Isodata-gen-newp-guard-instances-to-x1...xn
                  • Isodata-gen-new-to-old-lemma-formula
                  • Isodata-gen-fn-of-terms
                  • Isodata-gen-back-image-instances-to-x1...xn
                  • Isodata-gen-back-guard-instances-to-x1...xn
                  • Isodata-gen-oldp-of-rec-call-args-under-contexts
                  • Isodata-gen-new-to-old-thm-formula
                  • Isodata-gen-new-fn-termination-hints
                  • Isodata-gen-new-fn-body
                  • Isodata-gen-lemma-instance-x1...xn-to-fn-of-x1...xn
                  • Isodata-gen-old-to-new-thm-hints-0res
                  • Isodata-gen-new-fn-verify-guards-hints-pred
                  • Isodata-gen-new-fn-guard
                  • Isodata-gen-subst-x1...xn-with-back-of-x1...xn
                  • Isodata-gen-oldp-of-terms
                  • Isodata-gen-newp-of-terms
                  • Isodata-gen-forth-of-terms
                  • Isodata-gen-defisos
                  • Isodata-gen-back-of-terms
                  • Isodata-gen-old-to-new-thm-hints-mres
                  • Isodata-gen-new-to-old-thm-hints-mres
                  • Isodata-gen-new-fn-measure
                  • Isodata-formal-of-newp
                  • Isodata-formal-of-forth
                  • Isodata-formal-of-back
                  • Isodata-formal-of-unary
                • Isodata-fn
                • Isodata-input-processing
                • Isodata-macro-definition
            • Simplify-defun
            • Tailrec
            • Schemalg
            • Restrict
            • Expdata
            • 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
          • Error-checking
          • Fty-extensions
          • Isar
          • Kestrel-utilities
          • Set
          • C
          • Soft
          • Bv
          • Imp-language
          • Ethereum
          • Event-macros
          • Java
          • Riscv
          • Bitcoin
          • Zcash
          • Yul
          • ACL2-programming-language
          • Prime-fields
          • Json
          • Syntheto
          • File-io-light
          • Cryptography
          • Number-theory
          • Axe
          • Lists-light
          • Builtins
          • Solidity
          • Helpers
          • Htclient
          • Typed-lists-light
          • Arithmetic-light
        • X86isa
        • Axe
        • Execloader
      • Math
      • Testing-utilities
    • Isodata-event-generation

    Isodata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res

    Generate the hints to verify the guards of the new function, when the function is not recursive, when :predicate is nil, and no result is being transformed.

    Signature
    (isodata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res 
         old$ arg-isomaps wrld) 
     
      → 
    hints
    Arguments
    old$ — Guard (symbolp old$).
    arg-isomaps — Guard (isodata-symbol-isomap-alistp arg-isomaps).
    wrld — Guard (plist-worldp wrld).
    Returns
    hints — Type (true-listp hints).

    Definitions and Theorems

    Function: isodata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res

    (defun isodata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res
           (old$ arg-isomaps wrld)
     (declare
          (xargs :guard (and (symbolp old$)
                             (isodata-symbol-isomap-alistp arg-isomaps)
                             (plist-worldp wrld))))
     (let
      ((__function__
           'isodata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res))
      (declare (ignorable __function__))
      (b*
       ((instance-guard-thm-old
             (isodata-gen-lemma-instance-x1...xn-to-back-of-x1...xn
                  (cons ':guard-theorem (cons old$ 'nil))
                  old$ arg-isomaps wrld))
        (instances-newp-guard
         (isodata-gen-newp-guard-instances-to-x1...xn arg-isomaps wrld))
        (instances-back-guard (isodata-gen-back-guard-instances-to-x1...xn
                                   arg-isomaps wrld)))
       (cons
        (cons
            '"Goal"
            (cons ':in-theory
                  (cons 'nil
                        (cons ':use
                              (cons (cons instance-guard-thm-old
                                          (append instances-newp-guard
                                                  instances-back-guard))
                                    'nil)))))
        'nil))))

    Theorem: true-listp-of-isodata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res

    (defthm
     true-listp-of-isodata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res
     (b* ((hints (isodata-gen-new-fn-verify-guards-hints-nonpred-nonrec-0res
                      old$ arg-isomaps wrld)))
       (true-listp hints))
     :rule-classes :rewrite)