• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
      • Apt
      • Zfc
      • Acre
      • Milawa
      • Smtlink
      • Abnf
      • Vwsim
      • Isar
      • Wp-gen
      • Dimacs-reader
      • Pfcs
      • Legacy-defrstobj
      • 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
          • Utilities
            • Free-vars
            • Abstract-syntax-rename-fn
              • Exprs/decls/stmts-rename-fn
              • Ext-declon-list-rename-fn
              • Typequal/attribspec-list-list-rename-fn
              • Typequal/attribspec-list-rename-fn
              • Fundef-option-rename-fn
              • Struct-declor-list-rename-fn
              • Struct-declon-list-rename-fn
              • Param-declon-list-rename-fn
              • Ext-declon-rename-fn
              • Init-declor-list-rename-fn
              • Block-item-list-rename-fn
              • Attrib-spec-list-rename-fn
              • Asm-output-list-rename-fn
              • Spec/qual-list-rename-fn
              • Genassoc-list-rename-fn
              • Fundef-rename-fn
                • Desiniter-list-rename-fn
                • Designor-list-rename-fn
                • Decl-spec-list-rename-fn
                • Asm-input-list-rename-fn
                • Enumer-list-rename-fn
                • Declon-list-rename-fn
                • Attrib-list-rename-fn
                • Expr-list-rename-fn
                • Dirabsdeclor-option-rename-fn
                • Const-expr-option-rename-fn
                • Absdeclor-option-rename-fn
                • Initer-option-rename-fn
                • Expr-option-rename-fn
                • Declor-option-rename-fn
                • Typequal/attribspec-rename-fn
                • Amb-expr/tyname-rename-fn
                • Amb-declor/absdeclor-rename-fn
                • Amb-declon/stmt-rename-fn
                • Type-spec-rename-fn
                • Struni-spec-rename-fn
                • Struct-declor-rename-fn
                • Struct-declon-rename-fn
                • Statassert-rename-fn
                • Spec/qual-rename-fn
                • Param-declor-rename-fn
                • Param-declon-rename-fn
                • Member-designor-rename-fn
                • Init-declor-rename-fn
                • Genassoc-rename-fn
                • Enum-spec-rename-fn
                • Dirdeclor-rename-fn
                • Dirabsdeclor-rename-fn
                • Desiniter-rename-fn
                • Designor-rename-fn
                • Decl-spec-rename-fn
                • Const-expr-rename-fn
                • Comp-stmt-rename-fn
                • Block-item-rename-fn
                • Attrib-spec-rename-fn
                • Attrib-rename-fn
                • Asm-stmt-rename-fn
                • Asm-output-rename-fn
                • Asm-input-rename-fn
                • Align-spec-rename-fn
                • Absdeclor-rename-fn
                • Tyname-rename-fn
                • Stmt-rename-fn
                • Label-rename-fn
                • Initer-rename-fn
                • Expr-rename-fn
                • Enumer-rename-fn
                • Declor-rename-fn
                • Declon-rename-fn
              • Call-graphs
              • Fresh-ident-utility
              • Collect-idents
              • Subst-free
            • Proof-generation-theorems
            • Input-processing
          • Language
          • Representation
          • Insertion-sort
          • Pack
        • Proof-checker-array
        • Soft
        • Farray
        • Rp-rewriter
        • Instant-runoff-voting
        • Imp-language
        • Sidekick
        • Ethereum
        • Leftist-trees
        • Java
        • Riscv
        • Taspi
        • Bitcoin
        • Zcash
        • Des
        • X86isa
        • Sha-2
        • Yul
        • Proof-checker-itp13
        • Regex
        • ACL2-programming-language
        • Json
        • Jfkr
        • Equational
        • Cryptography
        • Axe
        • Poseidon
        • Where-do-i-place-my-book
        • Aleo
        • Bigmems
        • Builtins
        • Execloader
        • Solidity
        • Paco
        • Concurrent-programs
        • Bls12-377-curves
      • Debugging
      • Community
      • Std
      • Proof-automation
      • Macro-libraries
      • ACL2
      • Interfacing-tools
      • Hardware-verification
      • Software-verification
      • Math
      • Testing-utilities
    • Abstract-syntax-rename-fn

    Fundef-rename-fn

    Signature
    (fundef-rename-fn fundef uid new-fn) → fty::result
    Arguments
    fundef — Guard (fundefp fundef).
    uid — Guard (c$::uidp uid).
    new-fn — Guard (identp new-fn).
    Returns
    fty::result — Type (fundefp fty::result).

    Definitions and Theorems

    Function: fundef-rename-fn

    (defun fundef-rename-fn (fundef uid new-fn)
      (declare (xargs :guard (and (fundefp fundef)
                                  (c$::uidp uid)
                                  (identp new-fn))))
      (declare (ignorable fundef uid new-fn))
      (fundef (c$::fundef->extension fundef)
              (decl-spec-list-rename-fn (c$::fundef->specs fundef)
                                        uid new-fn)
              (declor-rename-fn (fundef->declor fundef)
                                uid new-fn)
              (c$::fundef->asm? fundef)
              (attrib-spec-list-rename-fn (c$::fundef->attribs fundef)
                                          uid new-fn)
              (declon-list-rename-fn (c$::fundef->declons fundef)
                                     uid new-fn)
              (comp-stmt-rename-fn (c$::fundef->body fundef)
                                   uid new-fn)
              (c$::fundef->info fundef)))

    Theorem: fundefp-of-fundef-rename-fn

    (defthm fundefp-of-fundef-rename-fn
      (b* ((fty::result (fundef-rename-fn fundef uid new-fn)))
        (fundefp fty::result))
      :rule-classes :rewrite)

    Theorem: fundef-rename-fn-of-fundef-fix-fundef

    (defthm fundef-rename-fn-of-fundef-fix-fundef
      (equal (fundef-rename-fn (fundef-fix fundef)
                               uid new-fn)
             (fundef-rename-fn fundef uid new-fn)))

    Theorem: fundef-rename-fn-fundef-equiv-congruence-on-fundef

    (defthm fundef-rename-fn-fundef-equiv-congruence-on-fundef
      (implies (c$::fundef-equiv fundef fundef-equiv)
               (equal (fundef-rename-fn fundef uid new-fn)
                      (fundef-rename-fn fundef-equiv uid new-fn)))
      :rule-classes :congruence)

    Theorem: fundef-rename-fn-of-uid-fix-uid

    (defthm fundef-rename-fn-of-uid-fix-uid
      (equal (fundef-rename-fn fundef (c$::uid-fix uid)
                               new-fn)
             (fundef-rename-fn fundef uid new-fn)))

    Theorem: fundef-rename-fn-uid-equiv-congruence-on-uid

    (defthm fundef-rename-fn-uid-equiv-congruence-on-uid
      (implies (c$::uid-equiv uid uid-equiv)
               (equal (fundef-rename-fn fundef uid new-fn)
                      (fundef-rename-fn fundef uid-equiv new-fn)))
      :rule-classes :congruence)

    Theorem: fundef-rename-fn-of-ident-fix-new-fn

    (defthm fundef-rename-fn-of-ident-fix-new-fn
      (equal (fundef-rename-fn fundef uid (ident-fix new-fn))
             (fundef-rename-fn fundef uid new-fn)))

    Theorem: fundef-rename-fn-ident-equiv-congruence-on-new-fn

    (defthm fundef-rename-fn-ident-equiv-congruence-on-new-fn
      (implies (c$::ident-equiv new-fn new-fn-equiv)
               (equal (fundef-rename-fn fundef uid new-fn)
                      (fundef-rename-fn fundef uid new-fn-equiv)))
      :rule-classes :congruence)