OAI/CategoryTheory/Thomason/Transfer/FiveInputMainTheorem.lean

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All dimensions after discharging the canonical-extension input

  1. theorem OAI.Thomason.Construction.main_with_five_published_inputs line 15

    Source documentation

    The all-dimensions theorem with five published-input hypotheses. The canonical-extension weak equivalence follows from the subdivision homotopy and its realization comparison.

    theorem main_with_five_published_inputs
        (G : RightGrayInput normalizedSimplexIdentities) (t : GrayTruncationInput G)
        (hk : PublishedAcyclicKanLifting)
        (transfer : PublishedThomasonReduction normalizedSimplexIdentities)
        (loc : PublishedStreetLocalizationInput normalizedSimplexIdentities) :
        let kq := kanQuillenInput_of_acyclic_kan_lifting hk
    …

    Mentions: OAI.Thomason.Construction.RightGrayInput, OAI.Thomason.Construction.normalizedSimplexIdentities, OAI.Thomason.Construction.GrayTruncationInput, OAI.Thomason.Construction.PublishedAcyclicKanLifting, OAI.Thomason.Construction.PublishedThomasonReduction, OAI.Thomason.Construction.PublishedStreetLocalizationInput, OAI.Thomason.Construction.kanQuillenInput_of_acyclic_kan_lifting