Lax Lean Archive

Series-parallel graphs are planar

Lax68.SeriesParallelPlanar · concepts/Lax68/SeriesParallelPlanar.lean · lax-68

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    Natural Language Statement

    Opn

    Every series-parallel graph is planar.

    Open in this formalization: no proof is supplied yet.

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    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A
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    Lean source view on GitHub

    1import Lax68.SeriesParallel
    2import Lax68.Planar
    3
    4/-!
    5---
    6title: Series-parallel graphs are planar
    7type: opn
    8---
    9Every series-parallel graph is planar.
    10
    11Open in this formalization: no proof is supplied yet.
    12-/
    13
    14set_option autoImplicit false
    15
    16namespace Lax68.SeriesParallelPlanar
    17
    18/-- Every series-parallel graph is planar.
    19
    20Open in this formalization: no proof is supplied yet. -/
    21axiom seriesParallel_planar {V : Type*} {G : SimpleGraph V} :
    22 Lax68.SeriesParallel.IsSeriesParallel G →
    23 Lax68.Planar.IsPlanar G
    24
    25end Lax68.SeriesParallelPlanar
    26
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