The Lean 4 theorem `triple_swap` in the `ChapterQg3DGaugeEsa` chapter of the timepiece formalization
ProvedBookProof.Qg3DGaugeEsa.triple_swaptimepiece
The Lean 4 theorem triple_swap in the ChapterQg3DGaugeEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterQg3DGaugeEsa.lean — theorem BookProof.Qg3DGaugeEsa.triple_swap import Mathlib import Definitions.Def_ChapterQg3DGaugeEsa open BookProof.Qg3DGaugeEsa open Finset MvPolynomial open BookProof.HermiteProductCore BookProof.YangMillsHermite open BookProof.FarisLavine open BookProof.NavierStokesFlow.DifferentialL2 open BookProof.HermiteRelative open BookProof.FullQuadratic open BookProof.QuantumGravity3DGauge open BookProof.StoneBridge BookProof.EsaClosure BookProof.ChapterStoneResolvent noncomputable section
Formal statement
theorem BookProof.Qg3DGaugeEsa.triple_swap {α : Type*} [AddCommMonoid α] (F : Fin 64 → Fin 84 → Fin 84 → α) :
∑ i : Fin 84, ∑ j : Fin 84, ∑ m : Fin 64, F m i j
= ∑ m : Fin 64, ∑ i : Fin 84, ∑ j : Fin 84, F m i j := by sorrySource