• 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
        • Atc
        • Transformation-tools
          • Simpadd0
          • Proof-generation
          • Split-gso
          • Wrap-fn
          • Constant-propagation
          • Specialize
          • Split-fn
          • Split-fn-when
          • Split-all-gso
          • Copy-fn
          • Variables-in-computation-states
          • Rename
            • Abstract-syntax-rename
              • Exprs/decls/stmts-rename
              • Ext-declon-list-rename
              • Filepath-transunit-map-rename
              • Ident-list-rename
              • Typequal/attribspec-list-list-rename
              • Typequal/attribspec-list-rename
              • Struct-declon-list-rename
              • Struct-declor-list-rename
              • Param-declon-list-rename
              • Transunit-ensemble-rename
              • Init-declor-list-rename
              • Block-item-list-rename
              • Attrib-spec-list-rename
              • Asm-output-list-rename
              • Spec/qual-list-rename
              • Iconst-option-rename
              • Genassoc-list-rename
              • Desiniter-list-rename
              • Designor-list-rename
              • Decl-spec-list-rename
              • Asm-input-list-rename
              • Ident-option-rename
              • Const-option-rename
              • Attrib-list-rename
              • Ext-declon-rename
              • Enumer-list-rename
              • Declon-list-rename
              • Expr-list-rename
              • Attrib-name-rename
              • Fundef-rename
              • Transunit-rename
              • Const-rename
              • Iconst-rename
              • Ident-rename
              • Dirabsdeclor-option-rename
              • Const-expr-option-rename
              • Absdeclor-option-rename
              • Initer-option-rename
              • Expr-option-rename
              • Declor-option-rename
              • Amb-declor/absdeclor-rename
              • Typequal/attribspec-rename
              • Struct-declon-rename
              • Member-designor-rename
              • Amb-expr/tyname-rename
              • Amb-declon/stmt-rename
              • Type-spec-rename
              • Tyname-rename
              • Struni-spec-rename
              • Struct-declor-rename
              • Stmt-rename
              • Statassert-rename
              • Spec/qual-rename
              • Param-declor-rename
              • Param-declon-rename
              • Label-rename
              • Initer-rename
              • Init-declor-rename
              • Genassoc-rename
              • Expr-rename
              • Enumer-rename
              • Enum-spec-rename
              • Dirdeclor-rename
              • Dirabsdeclor-rename
              • Desiniter-rename
              • Designor-rename
              • Declor-rename
              • Declon-rename
              • Decl-spec-rename
              • Const-expr-rename
              • Comp-stmt-rename
              • Block-item-rename
              • Attrib-spec-rename
              • Attrib-rename
              • Asm-stmt-rename
              • Asm-output-rename
              • Asm-input-rename
              • Align-spec-rename
              • Absdeclor-rename
            • Ident-ident-subst
            • Code-ensemble-rename
            • Ident-ident-alist
          • Utilities
          • Proof-generation-theorems
          • Input-processing
        • 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

• Abstract-syntax-rename

Designor-list-rename

Signature

(designor-list-rename c$::designor-list subst) → fty::result

Arguments

c$::designor-list — Guard (designor-listp c$::designor-list).

subst — Guard (ident-ident-alistp subst).

Returns

fty::result — Type (designor-listp fty::result).

Definitions and Theorems

Theorem: designor-list-rename-type-prescription

(defthm designor-list-rename-type-prescription
  (true-listp (designor-list-rename c$::designor-list subst))
  :rule-classes :type-prescription)

Theorem: designor-list-rename-when-atom

(defthm designor-list-rename-when-atom
  (implies (atom c$::designor-list)
           (equal (designor-list-rename c$::designor-list subst)
                  nil)))

Theorem: designor-list-rename-of-cons

(defthm designor-list-rename-of-cons
  (equal (designor-list-rename (cons c$::designor c$::designor-list)
                               subst)
         (cons (designor-rename c$::designor subst)
               (designor-list-rename c$::designor-list subst))))

Theorem: designor-list-rename-of-append

(defthm designor-list-rename-of-append
  (equal (designor-list-rename (append acl2::x acl2::y)
                               subst)
         (append (designor-list-rename acl2::x subst)
                 (designor-list-rename acl2::y subst))))

Theorem: consp-of-designor-list-rename

(defthm consp-of-designor-list-rename
  (equal (consp (designor-list-rename c$::designor-list subst))
         (consp c$::designor-list)))

Theorem: len-of-designor-list-rename

(defthm len-of-designor-list-rename
  (equal (len (designor-list-rename c$::designor-list subst))
         (len c$::designor-list)))

Theorem: nth-of-designor-list-rename

(defthm nth-of-designor-list-rename
  (equal (nth acl2::n
              (designor-list-rename c$::designor-list subst))
         (if (< (nfix acl2::n)
                (len c$::designor-list))
             (designor-rename (nth acl2::n c$::designor-list)
                              subst)
           nil)))

Theorem: designor-list-rename-of-revappend

(defthm designor-list-rename-of-revappend
  (equal (designor-list-rename (revappend acl2::x acl2::y)
                               subst)
         (revappend (designor-list-rename acl2::x subst)
                    (designor-list-rename acl2::y subst))))

Theorem: designor-list-rename-of-reverse

(defthm designor-list-rename-of-reverse
  (equal (designor-list-rename (reverse c$::designor-list)
                               subst)
         (reverse (designor-list-rename c$::designor-list subst))))