• 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
        • 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
          • Process-syntheto-toplevel-fn
          • Translation
          • Language
            • Static-semantics
            • Abstract-syntax
              • Expression
              • Expression-sum-field-list
              • Type
                • Typep
                • Type-case
                • Type-fix
                • Type-count
                • Type-equiv
                • Type-map
                • Type-set
                • Type-sequence
                • Type-defined
                • Type-option
                • Type-kind
                  • Type-string
                  • Type-integer
                  • Type-character
                  • Type-boolean
                • Binary-op
                • Expression-product-field-list
                • Abstract-syntax-operations
                • Function-definition-list->header-list
                • Type-definition-list->name-list
                • Initializer-list->value-list
                • Function-header-list->name-list
                • Typed-variable-list->type-list
                • Typed-variable-list->name-list
                • Branch-list->condition-list
                • Alternative-list->name-list
                • Function-specifier
                • Expression-variable-list
                • Type-subset
                • Field-list->type-list
                • Field-list->name-list
                • Function-specification
                • Identifier
                • Toplevel
                • Function-definer
                • Function-header
                • Type-definer
                • Literal
                • Type-product
                • Function-definition
                • Type-sum
                • Maybe-expression
                • Transform-argument-value
                • Transform
                • Theorem
                • Quantifier
                • Maybe-function-specification
                • Maybe-typed-variable
                • Maybe-type-definition
                • Maybe-function-header
                • Maybe-function-definition
                • Maybe-type-sum
                • Maybe-type-subset
                • Maybe-type-product
                • Maybe-type-definer
                • Maybe-theorem
                • Maybe-type
                • Initializer
                • Type-definition
                • Alternative
                • Unary-op
                • Typed-variable
                • Branch
                • Field
                • Transform-argument
                • Type-recursion
                • Program
                • Function-recursion
                • Typed-variable-list
                • Toplevel-name
                • Toplevel-list
                • Initializer-list
                • Expression-fixtypes
                • Toplevel-fn-names
                • Lookup-transform-argument
                • Function-definition-names
                • Type-definition-list
                • Transform-argument-list
                • Function-header-list
                • Function-definition-list
                • Alternative-list
                • Type-list
                • Identifier-set
                • Identifier-list
                • Field-list
                • Expression-list
                • Branch-list
                • Extract-default-param-alist
                • Create-arg-defaults-table
              • Outcome
              • Abstract-syntax-operations
              • Outcome-list
              • Outcomes
            • Process-syntheto-toplevel
            • Shallow-embedding
          • File-io-light
          • Cryptography
          • Number-theory
          • Axe
          • Lists-light
          • Builtins
          • Solidity
          • Helpers
          • Htclient
          • Typed-lists-light
          • Arithmetic-light
        • X86isa
        • Axe
        • Execloader
      • Math
      • Testing-utilities
    • Type

    Type-kind

    Get the kind (tag) of a type structure.

    Signature
    (type-kind x) → kind
    Arguments
    x — Guard (typep x).

    Definitions and Theorems

    Function: type-kind$inline

    (defun type-kind$inline (x)
      (declare (xargs :guard (typep x)))
      (let ((__function__ 'type-kind))
        (declare (ignorable __function__))
        (mbe :logic (cond ((or (atom x) (eq (car x) :boolean))
                           :boolean)
                          ((eq (car x) :character) :character)
                          ((eq (car x) :string) :string)
                          ((eq (car x) :integer) :integer)
                          ((eq (car x) :set) :set)
                          ((eq (car x) :sequence) :sequence)
                          ((eq (car x) :map) :map)
                          ((eq (car x) :option) :option)
                          (t :defined))
             :exec (car x))))

    Theorem: type-kind-possibilities

    (defthm type-kind-possibilities
     (or (equal (type-kind x) :boolean)
         (equal (type-kind x) :character)
         (equal (type-kind x) :string)
         (equal (type-kind x) :integer)
         (equal (type-kind x) :set)
         (equal (type-kind x) :sequence)
         (equal (type-kind x) :map)
         (equal (type-kind x) :option)
         (equal (type-kind x) :defined))
     :rule-classes ((:forward-chaining :trigger-terms ((type-kind x)))))