`BookProof.CoreBounds.tendsto_trunc_inc` [DecidableEq ι] (c : ι → ℝ) (x : maxDom c) : Tendsto (fun S : Finset ι => ((trunc c x S : lpFiniteModes ι) : L2I ι)) atTop (𝓝 ((x : L2I ι)))

Proved

BookProof.CoreBounds.tendsto_trunc_inc

by leonardopedro · Oct 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoreBoundsEsa.

BookProof.CoreBounds.tendsto_trunc_inc [DecidableEq ι] (c : ι → ℝ) (x : maxDom c) : Tendsto (fun S : Finset ι => ((trunc c x S : lpFiniteModes ι) : L2I ι)) atTop (𝓝 ((x : L2I ι)))

Formalization note: Lean 4 identifier BookProof.CoreBounds.tendsto_trunc_inc.

Replaces the unuploadable node BookProof_CoreBounds_tendsto_trunc, whose statement name is already declared inside its published definition bundle; the _inc suffix publishes the same statement as its own node.

Preamble

-- Generated from ChapterCoreBoundsEsa.lean — theorem BookProof.CoreBounds.tendsto_trunc_inc
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Definitions.Def_ChapterOperatorSeriesEsa
import Mathlib
import Definitions.Def_ChapterCoreBoundsEsa
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
open BookProof.NavierStokesFlow.IkebeKato
open BookProof.CoreBounds



open BookProof.FarisLavine BookProof.NavierStokesFlow BookProof.NavierStokesFlow.IkebeKato
open BookProof.OperatorSeries
open Filter Topology

noncomputable section

variable {ι : Type*} {c : ι → ℝ}

Formal statement

theorem BookProof.CoreBounds.tendsto_trunc_inc [DecidableEq ι] (c : ι → ℝ) (x : maxDom c) :
    Tendsto (fun S : Finset ι => ((trunc c x S : lpFiniteModes ι) : L2I ι)) atTop
      (𝓝 ((x : L2I ι))) := by sorry

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