OAI/RingTheory/DirectFiniteness/DiagramReduction.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.KaplanskyCounterexample.Planar.OpenDiagram.related_iff line 14

    Source documentation

    Insertions and deletions preserve the existence of the anchored lifetime drawing.

    theorem OpenDiagram.related_iff (token : X × Bool → F × A)
        (Allowed : List (X × Bool) → Prop)
        (hA : ∀ r, Allowed r → ∃ v, (∀ t ∈ r.map token, Inc v t.1) ∧
          ((r.map token).map (fun t => ι v t.1 t.2)).sum = 0)
        {u w : List (X × Bool)} (h : WordReduction.Related Allowed u w) :
        Nonempty (OpenDiagram Inc ι f₀ (u.map token)) ↔
          Nonempty (OpenDiagram Inc ι f₀ (w.map token)) := by
    …

    Mentions: OAI.KaplanskyCounterexample.WordReduction.Related, OAI.KaplanskyCounterexample.Planar.OpenDiagram