• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
      • Apt
      • Zfc
      • Acre
      • Milawa
      • Smtlink
      • Abnf
      • Vwsim
      • Isar
      • Pfcs
      • Wp-gen
      • Dimacs-reader
      • Legacy-defrstobj
      • Proof-checker-array
      • Soft
      • C
      • Farray
      • Rp-rewriter
      • Instant-runoff-voting
      • Imp-language
      • Sidekick
      • Leftist-trees
      • Java
      • Taspi
      • Riscv
      • Bitcoin
      • Des
      • Ethereum
      • X86isa
      • Sha-2
      • Yul
        • Transformations
          • Renaming-variables
          • Dead-code-eliminator
          • Renamings
            • Renaming
              • Renamingp
                • Renaming-fix
                • Renaming-equiv
                • Make-renaming
                • Renaming->list
                • Change-renaming
              • Renaming-result
              • Renaming-old
              • Renaming-new
              • Renaming-pair-equality
            • Disambiguator
            • Unique-variables
            • Dead-code-eliminator-static-safety
            • No-function-definitions
            • Unique-functions
            • Renaming-functions
            • Dead-code-eliminator-no-loop-initializers
            • Dead-code-eliminator-no-function-definitions
            • No-loop-initializers
            • For-loop-init-rewriter
          • Language
          • Yul-json
        • Zcash
        • Proof-checker-itp13
        • Regex
        • ACL2-programming-language
        • Json
        • Jfkr
        • Equational
        • Cryptography
        • Poseidon
        • Where-do-i-place-my-book
        • Axe
        • Aleo
        • Bigmems
        • Builtins
        • Execloader
        • Solidity
        • Paco
        • Concurrent-programs
        • Bls12-377-curves
      • Debugging
      • Std
      • Community
      • Proof-automation
      • ACL2
      • Macro-libraries
      • Interfacing-tools
      • Hardware-verification
      • Software-verification
      • Math
      • Testing-utilities
    • Renaming

    Renamingp

    Recognizer for renaming structures.

    Signature
    (renamingp x) → *

    Definitions and Theorems

    Function: renamingp

    (defun renamingp (x)
      (declare (xargs :guard t))
      (let ((__function__ 'renamingp))
        (declare (ignorable __function__))
        (and (mbe :logic (and (alistp x)
                              (equal (strip-cars x) '(list)))
                  :exec (fty::alist-with-carsp x '(list)))
             (b* ((list (cdr (std::da-nth 0 x))))
               (and (identifier-identifier-alistp list)
                    (no-duplicatesp-equal (strip-cars list))
                    (no-duplicatesp-equal (strip-cdrs list)))))))

    Theorem: consp-when-renamingp

    (defthm consp-when-renamingp
      (implies (renamingp x) (consp x))
      :rule-classes :compound-recognizer)