OAI/Algebra/DepthFive/ExtendedLocalMoment.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Problem335.LocalMoments.sourcePathAmplitude line 15

    Source documentation

    The explicit path amplitude on the canonical fixed-bidegree source indices.

    def sourcePathAmplitude {ι σ : Type*} [Fintype ι]
        {side : ι → Bool} {a b : ℕ} (M : BidegreeSource (σ := σ) side a b)
    …
  2. lemma OAI.Problem335.LocalMoments.sourceIndex_shiftRelation line 20
  3. theorem OAI.Problem335.LocalMoments.extended_four_path_product_eq line 36

    Source documentation

    The complete zero-extension bridge required by the eliminated-source second trace. Valid shifts remain in the fixed bidegree domain; invalid shifts give zero on both sides.

    theorem extended_four_path_product_eq {ι σ : Type*} [Fintype ι] [Fintype σ]
        [DecidableEq σ] {side : ι → Bool} {a b : ℕ}
        (M : BidegreeSource (σ := σ) side a b) (p q r s : ι → σ)
    …