• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
      • 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
        • Zfc
        • Acre
        • Milawa
        • Smtlink
        • Abnf
        • Vwsim
        • Isar
        • Wp-gen
        • Dimacs-reader
        • Pfcs
        • Legacy-defrstobj
        • Proof-checker-array
        • Soft
        • C
        • Farray
        • Rp-rewriter
        • Instant-runoff-voting
        • Imp-language
        • Sidekick
        • Leftist-trees
        • Java
        • Taspi
        • Bitcoin
        • Riscv
        • Des
        • Ethereum
        • X86isa
        • Sha-2
        • Yul
        • Zcash
        • Proof-checker-itp13
        • Regex
        • ACL2-programming-language
        • Json
        • Jfkr
        • Equational
        • Cryptography
        • Poseidon
        • Where-do-i-place-my-book
        • Axe
        • Bigmems
        • Builtins
        • Execloader
        • Aleo
        • Solidity
        • Paco
        • Concurrent-programs
        • Bls12-377-curves
      • Debugging
      • Std
      • Proof-automation
      • Macro-libraries
      • ACL2
      • Interfacing-tools
      • Hardware-verification
      • Software-verification
      • 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.