File:Commutative diagram of bisimulations used in coinduction.svg

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    Summary

    Description
    English: Commutative diagram showing that πᵢ ≫ get = f ≫ F(πᵢ); for coinduction
    Date
    Source Own work
    Author Kestrer

    Typst source code

    #import "@preview/commute:0.3.0": commutative-diagram, node, arr
    #set page(width: auto, height: auto, margin: 0pt)
    #align(center, commutative-diagram(
      node((0, 1), [$R$]),
      node((0, 0), [$A$]),
      node((0, 2), [$A$]),
      node((1, 0), [$F(A)$]),
      node((1, 2), [$F(A)$]),
      node((1, 1), [$F(R)$]),
      arr((0, 1), (0, 0), [$π_1$], label-pos: right),
      arr((0, 1), (0, 2), [$π_2$], label-pos: left),
      arr((0, 2), (1, 2), [$"get"$]),
      arr((1, 1), (1, 2), [$F(π_2)$], label-pos: right),
      arr((0, 1), (1, 1), [$f$]),
      arr((1, 1), (1, 0), [$F(π_1)$]),
      arr((0, 0), (1, 0), [$"get"$], label-pos: right),
    ))
    

    Licensing

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    Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
    The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

    Captions

    Commutative diagram showing that πᵢ ≫ get = f ≫ F(πᵢ)

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    14 March 2026

    34,971 byte

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    6f4942010c8ac418037f78bf48cb59cf02b7c3fe

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    Date/TimeThumbnailDimensionsUserComment
    current05:57, 14 March 2026Thumbnail for version as of 05:57, 14 March 2026333 × 157 (34 KB)wikimediacommons>KestrerUploaded own work with UploadWizard

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