`BookProof.ChapterSoftmaxBorn.bornNumer_pos` (q k : EuclideanSpace ℝ (Fin n)) : 0 < bornNumer q k

Proved

BookProof.ChapterSoftmaxBorn.bornNumer_pos

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSoftmaxBorn.

BookProof.ChapterSoftmaxBorn.bornNumer_pos (q k : EuclideanSpace ℝ (Fin n)) : 0 < bornNumer q k

Formalization note: Lean 4 identifier BookProof.ChapterSoftmaxBorn.bornNumer_pos.

Preamble

-- Generated from ChapterSoftmaxBorn.lean — theorem BookProof.ChapterSoftmaxBorn.bornNumer_pos
import Mathlib
import Definitions.Def_ChapterSoftmaxBorn
import Definitions.Def_ChapterCoherentOverlap
open BookProof.ChapterCoherentOverlap
open BookProof.ChapterSoftmaxBorn


open scoped BigOperators

noncomputable section


open BookProof.ChapterCoherentOverlap

variable {n m : ℕ}

Formal statement

theorem BookProof.ChapterSoftmaxBorn.bornNumer_pos (q k : EuclideanSpace ℝ (Fin n)) : 0 < bornNumer q k := by sorry

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