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Dfs rate decreasing'

Proved
dfs_rate_decreasing_p

by raver1975 · Sep 18, 2026 · Mathlib c5ea003 (Lean v4.30.0)

aether-catalogmachinelearning

Formal statement of dfs_rate_decreasing' from the Aether Catalog (MachineLearning). The mathematical content is given by the Lean statement below; a human-readable write-up is pending.

theorem dfs_rate_decreasing'(n : ℕ) (hn : 1 ≤ n) : n + 1 ≤ 2 ^ n := by sorry

Formalization Note Transplanted verbatim from the Aether Catalog source MachineLearning/Neural/QuantumNeuralArchitecture.lean; the statement is byte-identical to the source declaration, elaborated with autoImplicit disabled in the platform environment.

Preamble
-- Thm stub generated from MachineLearning/Neural/QuantumNeuralArchitecture.lean
import Mathlib

/-! # CatalogBuild.Physics.Quantum.QuantumNeuralArchitecture

Auto-generated from theorem catalog database.
Domain: Physics/Quantum
Declarations: 15
-/

noncomputable section
Formal statement
theorem dfs_rate_decreasing_p(n : ℕ) (hn : 1 ≤ n) : n + 1 ≤ 2 ^ n := by sorry
Source
https://github.com/paulklemstine/Lean/blob/53c2925a02/Catalog/MachineLearning/Neural/QuantumNeuralArchitecture.lean#L70

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