• 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
        • Syntax-for-tools
          • Formalized-subset
          • Mapping-to-language-definition
          • Input-files
          • Compilation-database
            • Comp-db-entry
            • Comp-db-arg
              • Comp-db-arg-fix
              • Comp-db-arg-equiv
              • Make-comp-db-arg
              • Comp-db-arg->value
              • Comp-db-arg->separator
              • Change-comp-db-arg
              • Comp-db-argp
              • Comp-db-arg->name
            • Json-to-comp-db-entry
            • Json-to-comp-db-entry-list
            • To-preprocess-db
            • To-preprocess-map
            • Comp-db-arguments-absolute-dirs
            • Comp-db-keep-only-preprocessor-args
            • Json-to-comp-db
            • Json-to-comp-db-arguments
            • Comp-db-relativize-keys
            • Json-to-comp-db-get-exec-and-arguments
            • Relativize-path
            • Preprocess-map-from-comp-file
            • Json-to-comp-db-exec-and-arguments
            • Comp-db-arguments-keep-only-preprocessor-args
            • Comp-db-arguments-escape-for-shell
            • Parse-comp-db
            • Json-to-comp-db-get-directory
            • Json-to-comp-db-get-output
            • Json-to-comp-db-get-file
            • Comp-db-drop-shared
            • Comp-db-drop-non-c
            • Comp-db-arg-list-to-string-list
            • Comp-db-absolute-dirs
            • Comp-db-escape-for-shell
            • Json-to-comp-db-try-parse-short-option
            • Preprocess-db-to-map
            • Comp-db-arg-to-string
            • Comp-db
            • Json-to-comp-db-try-parse-equal-arg
            • Defpreprocess-map-fn
            • String-escape-for-shell
            • Comp-db-arg-list
            • Irr-comp-db-arg
            • Show-warnings
            • *cc-options-space-sep*
            • *cc-options-equal-sep*
            • *cc-options-dir*
          • Printer
          • Output-files
          • Abstract-syntax-operations
          • Implementation-environments
          • Abstract-syntax
          • Concrete-syntax
          • Disambiguation
          • Validation
          • Gcc-builtins
          • Preprocessing
          • Parsing
        • Atc
        • Transformation-tools
        • Language
        • Representation
        • Insertion-sort
        • Pack
      • 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

• Comp-db-arg

Comp-db-arg-fix

Fixing function for comp-db-arg structures.

Signature

(comp-db-arg-fix x) → new-x

Arguments

x — Guard (comp-db-argp x).

Returns

new-x — Type (comp-db-argp new-x).

Definitions and Theorems

Function: comp-db-arg-fix$inline

(defun comp-db-arg-fix$inline (x)
 (declare (xargs :guard (comp-db-argp x)))
 (mbe
     :logic
     (b* ((name (acl2::str-fix (cdr (std::da-nth 0 x))))
          (separator (acl2::str-fix (cdr (std::da-nth 1 x))))
          (value (acl2::string-option-fix (cdr (std::da-nth 2 x)))))
       (list (cons 'name name)
             (cons 'separator separator)
             (cons 'value value)))
     :exec x))

Theorem: comp-db-argp-of-comp-db-arg-fix

(defthm comp-db-argp-of-comp-db-arg-fix
  (b* ((new-x (comp-db-arg-fix$inline x)))
    (comp-db-argp new-x))
  :rule-classes :rewrite)

Theorem: comp-db-arg-fix-when-comp-db-argp

(defthm comp-db-arg-fix-when-comp-db-argp
  (implies (comp-db-argp x)
           (equal (comp-db-arg-fix x) x)))

Function: comp-db-arg-equiv$inline

(defun comp-db-arg-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (comp-db-argp acl2::x)
                              (comp-db-argp acl2::y))))
  (equal (comp-db-arg-fix acl2::x)
         (comp-db-arg-fix acl2::y)))

Theorem: comp-db-arg-equiv-is-an-equivalence

(defthm comp-db-arg-equiv-is-an-equivalence
  (and (booleanp (comp-db-arg-equiv x y))
       (comp-db-arg-equiv x x)
       (implies (comp-db-arg-equiv x y)
                (comp-db-arg-equiv y x))
       (implies (and (comp-db-arg-equiv x y)
                     (comp-db-arg-equiv y z))
                (comp-db-arg-equiv x z)))
  :rule-classes (:equivalence))

Theorem: comp-db-arg-equiv-implies-equal-comp-db-arg-fix-1

(defthm comp-db-arg-equiv-implies-equal-comp-db-arg-fix-1
  (implies (comp-db-arg-equiv acl2::x x-equiv)
           (equal (comp-db-arg-fix acl2::x)
                  (comp-db-arg-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: comp-db-arg-fix-under-comp-db-arg-equiv

(defthm comp-db-arg-fix-under-comp-db-arg-equiv
  (comp-db-arg-equiv (comp-db-arg-fix acl2::x)
                     acl2::x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-comp-db-arg-fix-1-forward-to-comp-db-arg-equiv

(defthm equal-of-comp-db-arg-fix-1-forward-to-comp-db-arg-equiv
  (implies (equal (comp-db-arg-fix acl2::x)
                  acl2::y)
           (comp-db-arg-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: equal-of-comp-db-arg-fix-2-forward-to-comp-db-arg-equiv

(defthm equal-of-comp-db-arg-fix-2-forward-to-comp-db-arg-equiv
  (implies (equal acl2::x (comp-db-arg-fix acl2::y))
           (comp-db-arg-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: comp-db-arg-equiv-of-comp-db-arg-fix-1-forward

(defthm comp-db-arg-equiv-of-comp-db-arg-fix-1-forward
  (implies (comp-db-arg-equiv (comp-db-arg-fix acl2::x)
                              acl2::y)
           (comp-db-arg-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: comp-db-arg-equiv-of-comp-db-arg-fix-2-forward

(defthm comp-db-arg-equiv-of-comp-db-arg-fix-2-forward
  (implies (comp-db-arg-equiv acl2::x (comp-db-arg-fix acl2::y))
           (comp-db-arg-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)