Lax Lean Archive

Maximal outerplanar graphs are planar

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

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    Natural Language Statement

    Theorem

    Every maximal outerplanar graph is planar.

    Concept map
    6 concepts
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    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A
    Evidence

    Each proof establishes this claim relative to its assumptions.

    Lean source view on GitHub

    1import Lax68.MaximalOuterplanar
    2import Lax68.Planar
    3
    4/-!
    5---
    6title: Maximal outerplanar graphs are planar
    7type: theorem
    8---
    9Every maximal outerplanar graph is planar.
    10-/
    11
    12set_option autoImplicit false
    13
    14namespace Lax68.MaximalOuterplanarPlanar
    15
    16/-- Every maximal outerplanar graph is planar. -/
    17axiom maximalOuterplanar_planar {V : Type*} {G : SimpleGraph V} :
    18 Lax68.MaximalOuterplanar.IsMaximalOuterplanar G →
    19 Lax68.Planar.IsPlanar G
    20
    21end Lax68.MaximalOuterplanarPlanar
    22
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