Lax Lean Archive

Induced grid exclusion in row and column graphs

Lax762056.ColumnGridExclusion · concepts/Lax762056/ColumnGridExclusion.lean · lax-762056

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    Natural Language Statement

    Lemma

    Every row and column graph excludes the 5×55\times5 grid as an induced minor.

    Concept map
    4 concepts
    100%
    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A
    Evidence

    Each proof establishes this claim relative to its assumptions.

    In the paper

    • page 4 of this submission's paper

    Lean source view on GitHub

    1import Lax762056.ColumnGraph
    2import Lax762056.Grid
    3
    4/-!
    5---
    6title: Induced grid exclusion in row and column graphs
    7type: lemma
    8---
    9Every row and column graph excludes the 5×55\times5 grid as an induced minor.
    10-/
    11
    12namespace Lax762056.ColumnGridExclusion
    13
    14open ColumnGraph Grid
    15
    16axiom columnGraph_excludes_inducedGrid (R : Type*) (c : ℕ) :
    17 ExcludesInducedGrid 5 (columnGraph R c)
    18
    19end Lax762056.ColumnGridExclusion
    20
    Show Proof
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    From Mathlib

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