`BookProof.ChapterScaledDotProduct.card_signPatterns` : Fintype.card (Fin d → Bool) = 2 ^ d

Proved

BookProof.ChapterScaledDotProduct.card_signPatterns

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterScaledDotProduct.

BookProof.ChapterScaledDotProduct.card_signPatterns : Fintype.card (Fin d → Bool) = 2 ^ d

Formalization note: Lean 4 identifier BookProof.ChapterScaledDotProduct.card_signPatterns.

Preamble

-- Generated from ChapterScaledDotProduct.lean — theorem BookProof.ChapterScaledDotProduct.card_signPatterns
import Definitions.Def_ChapterSoftmaxSharpness
import Mathlib
import Definitions.Def_ChapterScaledDotProduct
open BookProof.ChapterScaledDotProduct


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness

variable {d : ℕ}

Formal statement

theorem BookProof.ChapterScaledDotProduct.card_signPatterns : Fintype.card (Fin d → Bool) = 2 ^ d := by sorry

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