• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
      • Apt
      • Zfc
      • Acre
      • Milawa
      • Smtlink
      • Abnf
      • Vwsim
      • Isar
      • Wp-gen
      • Dimacs-reader
      • Pfcs
        • Proof-support
        • Abstract-syntax
          • Syntax-abstraction
          • Expression
          • Definition
            • Definition-fix
            • Definitionp
              • Definition-equiv
              • Make-definition
              • Definition->para
              • Definition->body
              • Change-definition
              • Definition->name
            • Constraint
            • Definition-option
            • Abstract-syntax-operations
            • System
            • Convenience-constructors
            • System-result
            • Expression-result
            • Expression-list-result
            • Definition-result
            • Definition-list-result
            • Constraint-result
            • Constraint-list-result
            • Expression-list
            • Definition-list
            • Constraint-list
          • R1cs-subset
          • Semantics
          • Abstract-syntax-operations
          • Indexed-names
          • Well-formedness
          • Concrete-syntax
          • R1cs-bridge
          • Parser-interface
        • Legacy-defrstobj
        • Proof-checker-array
        • Soft
        • C
        • Farray
        • Rp-rewriter
        • Instant-runoff-voting
        • Imp-language
        • Sidekick
        • Leftist-trees
        • Java
        • Taspi
        • Bitcoin
        • Riscv
        • Des
        • Ethereum
        • X86isa
        • Sha-2
        • Yul
        • Zcash
        • Proof-checker-itp13
        • Regex
        • ACL2-programming-language
        • Json
        • Jfkr
        • Equational
        • Cryptography
        • Poseidon
        • Where-do-i-place-my-book
        • Axe
        • Bigmems
        • Builtins
        • Execloader
        • Aleo
        • Solidity
        • Paco
        • Concurrent-programs
        • Bls12-377-curves
      • Debugging
      • Std
      • Proof-automation
      • Macro-libraries
      • ACL2
      • Interfacing-tools
      • Hardware-verification
      • Software-verification
      • Math
      • Testing-utilities
    • Definition

    Definitionp

    Recognizer for definition structures.

    Signature
    (definitionp x) → *

    Definitions and Theorems

    Function: definitionp

    (defun definitionp (x)
      (declare (xargs :guard t))
      (let ((__function__ 'definitionp))
        (declare (ignorable __function__))
        (and (consp x)
             (eq (car x) :definition)
             (mbe :logic (and (alistp (cdr x))
                              (equal (strip-cars (cdr x))
                                     '(name para body)))
                  :exec (fty::alist-with-carsp (cdr x)
                                               '(name para body)))
             (b* ((name (cdr (std::da-nth 0 (cdr x))))
                  (para (cdr (std::da-nth 1 (cdr x))))
                  (body (cdr (std::da-nth 2 (cdr x)))))
               (and (stringp name)
                    (string-listp para)
                    (constraint-listp body))))))

    Theorem: consp-when-definitionp

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