• 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
            • Split-gso-implementation
              • Abstract-syntax-replace-field-access
                • Filepath-transunit-map-replace-field-access
                • Ext-declon-list-replace-field-access
                • Exprs/decls/stmts-replace-field-access
                • Ext-declon-replace-field-access
                • Transunit-replace-field-access
                • Fundef-replace-field-access
                • Typequal/attribspec-list-list-replace-field-access
                • Typequal/attribspec-list-replace-field-access
                • Struct-declor-list-replace-field-access
                • Struct-declon-list-replace-field-access
                • Param-declon-list-replace-field-access
                • Init-declor-list-replace-field-access
                • Attrib-spec-list-replace-field-access
                • Spec/qual-list-replace-field-access
                • Desiniter-list-replace-field-access
                • Decl-spec-list-replace-field-access
                • Block-item-list-replace-field-access
                • Asm-output-list-replace-field-access
                • Asm-input-list-replace-field-access
                • Genassoc-list-replace-field-access
                • Designor-list-replace-field-access
                • Enumer-list-replace-field-access
                • Declon-list-replace-field-access
                • Attrib-list-replace-field-access
                • Expr-list-replace-field-access
                • Dirabsdeclor-option-replace-field-access
                • Initer-option-replace-field-access
                • Expr-option-replace-field-access
                • Declor-option-replace-field-access
                • Const-expr-option-replace-field-access
                • Absdeclor-option-replace-field-access
                • Typequal/attribspec-replace-field-access
                • Amb-expr/tyname-replace-field-access
                • Amb-declor/absdeclor-replace-field-access
                • Amb-declon/stmt-replace-field-access
                • Type-spec-replace-field-access
                • Struni-spec-replace-field-access
                • Struct-declor-replace-field-access
                • Struct-declon-replace-field-access
                • Statassert-replace-field-access
                • Spec/qual-replace-field-access
                • Param-declor-replace-field-access
                • Param-declon-replace-field-access
                • Member-designor-replace-field-access
                • Initer-replace-field-access
                • Init-declor-replace-field-access
                • Genassoc-replace-field-access
                • Enum-spec-replace-field-access
                • Dirdeclor-replace-field-access
                • Dirabsdeclor-replace-field-access
                • Desiniter-replace-field-access
                • Designor-replace-field-access
                • Decl-spec-replace-field-access
                • Const-expr-replace-field-access
                • Comp-stmt-replace-field-access
                • Block-item-replace-field-access
                • Attrib-spec-replace-field-access
                • Attrib-replace-field-access
                • Asm-stmt-replace-field-access
                • Asm-output-replace-field-access
                • Asm-input-replace-field-access
                • Align-spec-replace-field-access
                • Absdeclor-replace-field-access
                • Tyname-replace-field-access
                • Stmt-replace-field-access
                • Label-replace-field-access
                • Expr-replace-field-access
                • Enumer-replace-field-access
                • Declor-replace-field-access
                • Declon-replace-field-access
              • Split-gso-process-inputs-and-gen-everything
              • Split-gso-fn
              • Match-simple-declor-ident
              • Split-gso-input-processing
              • Split-gso-event-generation
              • Split-gso-macro-definition
          • Wrap-fn
          • Constant-propagation
          • Specialize
          • Split-fn
          • Split-fn-when
          • Split-all-gso
          • Copy-fn
          • Variables-in-computation-states
          • Rename
          • 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-replace-field-access

Expr-list-replace-field-access

Signature

(expr-list-replace-field-access c$::expr-list original 
                                linkage new1 new2 split-members) 
 
  → 
fty::result

Arguments

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

original — Guard (identp original).

linkage — Guard (c$::linkagep linkage).

new1 — Guard (identp new1).

new2 — Guard (identp new2).

split-members — Guard (ident-listp split-members).

Returns

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

Definitions and Theorems

Theorem: expr-list-replace-field-access-type-prescription

(defthm expr-list-replace-field-access-type-prescription
 (true-listp
   (expr-list-replace-field-access c$::expr-list original
                                   linkage new1 new2 split-members))
 :rule-classes :type-prescription)

Theorem: expr-list-replace-field-access-when-atom

(defthm expr-list-replace-field-access-when-atom
 (implies
  (atom c$::expr-list)
  (equal
    (expr-list-replace-field-access c$::expr-list original
                                    linkage new1 new2 split-members)
    nil)))

Theorem: expr-list-replace-field-access-of-cons

(defthm expr-list-replace-field-access-of-cons
 (equal
   (expr-list-replace-field-access (cons c$::expr c$::expr-list)
                                   original
                                   linkage new1 new2 split-members)
   (cons (expr-replace-field-access c$::expr original
                                    linkage new1 new2 split-members)
         (expr-list-replace-field-access
              c$::expr-list original
              linkage new1 new2 split-members))))

Theorem: expr-list-replace-field-access-of-append

(defthm expr-list-replace-field-access-of-append
 (equal
  (expr-list-replace-field-access (append acl2::x acl2::y)
                                  original
                                  linkage new1 new2 split-members)
  (append
    (expr-list-replace-field-access acl2::x original
                                    linkage new1 new2 split-members)
    (expr-list-replace-field-access
         acl2::y original
         linkage new1 new2 split-members))))

Theorem: consp-of-expr-list-replace-field-access

(defthm consp-of-expr-list-replace-field-access
 (equal
  (consp
   (expr-list-replace-field-access c$::expr-list original
                                   linkage new1 new2 split-members))
  (consp c$::expr-list)))

Theorem: len-of-expr-list-replace-field-access

(defthm len-of-expr-list-replace-field-access
 (equal
  (len
   (expr-list-replace-field-access c$::expr-list original
                                   linkage new1 new2 split-members))
  (len c$::expr-list)))

Theorem: nth-of-expr-list-replace-field-access

(defthm nth-of-expr-list-replace-field-access
 (equal
  (nth
   acl2::n
   (expr-list-replace-field-access c$::expr-list original
                                   linkage new1 new2 split-members))
  (if (< (nfix acl2::n) (len c$::expr-list))
      (expr-replace-field-access (nth acl2::n c$::expr-list)
                                 original
                                 linkage new1 new2 split-members)
    nil)))

Theorem: expr-list-replace-field-access-of-revappend

(defthm expr-list-replace-field-access-of-revappend
 (equal
  (expr-list-replace-field-access (revappend acl2::x acl2::y)
                                  original
                                  linkage new1 new2 split-members)
  (revappend
    (expr-list-replace-field-access acl2::x original
                                    linkage new1 new2 split-members)
    (expr-list-replace-field-access
         acl2::y original
         linkage new1 new2 split-members))))

Theorem: expr-list-replace-field-access-of-reverse

(defthm expr-list-replace-field-access-of-reverse
 (equal
    (expr-list-replace-field-access (reverse c$::expr-list)
                                    original
                                    linkage new1 new2 split-members)
    (reverse (expr-list-replace-field-access
                  c$::expr-list original
                  linkage new1 new2 split-members))))