• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
    • Debugging
    • Std
    • Proof-automation
    • Macro-libraries
    • ACL2
    • Interfacing-tools
    • Hardware-verification
    • Software-verification
      • Kestrel-books
        • Crypto-hdwallet
        • Apt
          • Simplify-defun
          • Isodata
          • Tailrec
          • Schemalg
          • Restrict
          • Expdata
          • Casesplit
          • Simplify-term
          • Simplify-defun-sk
          • Parteval
          • Solve
          • Wrap-output
          • Propagate-iso
          • Simplify
          • Finite-difference
          • Drop-irrelevant-params
          • Copy-function
          • Lift-iso
            • Rename-params
            • Utilities
            • Simplify-term-programmatic
            • Simplify-defun-sk-programmatic
            • Simplify-defun-programmatic
            • Simplify-defun+
            • Common-options
            • Common-concepts
          • Error-checking
          • Fty-extensions
          • Isar
          • Kestrel-utilities
          • Set
          • Soft
          • C
          • Bv
          • Imp-language
          • Event-macros
          • Java
          • Bitcoin
          • Ethereum
          • Yul
          • Zcash
          • ACL2-programming-language
          • Prime-fields
          • Json
          • Syntheto
          • File-io-light
          • Cryptography
          • Number-theory
          • Lists-light
          • Axe
          • Builtins
          • Solidity
          • Helpers
          • Htclient
          • Typed-lists-light
          • Arithmetic-light
        • X86isa
        • Axe
        • Execloader
      • Math
      • Testing-utilities
    • Apt

    Lift-iso

    Lift an isomorphism to an isomorphism on a structure containing the original isoporphism predicate.

    Introduction

    lift-iso takes a predicate and one or more isomorphisms where the domain predicates of the isomorphisms are referenced by the predicate, and lifts them to create an isomorphism from the predicate to a newly created predicate. It is useful for cases where the predicate specifies a structure that includes components for which isomorphisms exist. It is also useful for extending an isomorphism to a subdomain. Examples are in lift-iso-tests.lisp. lift-iso is used by propagate-iso to lift isomorphisms, and it is more general as it also lifts theorems and functions involving the lifted isomorphism and new predicate.

    General Form

    (lift-iso pred isomorphism-name-or-names
                   fn-iso-specs
                   &key
                   :iso-name          ; Name of new isomorphism
                   :iso-pred-name     ; Name of new predicate
                   )

    isomorphism-name-or-names

    A single name or a list of names of isomorphisms defined using defiso.

    iso-name

    The name to be used for the generated isomorphism. If not provided, lift-iso generates a name from the provided predicate and the isomorphism names.

    iso-pred-name

    The name to be used for the generated predicate. If not providd,e lift-iso generates a name from the provided predicate and the isomorphism names.