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theorem proved tactic proof

aggregateThroughput_strict_mono

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formal statement (Lean)

  67theorem aggregateThroughput_strict_mono {N M : ℕ} (h : N < M) :
  68    aggregateThroughput N < aggregateThroughput M := by

proof body

Tactic-mode proof.

  69  unfold aggregateThroughput
  70  have h_real : (N : ℝ) < (M : ℝ) := by exact_mod_cast h
  71  exact (mul_lt_mul_iff_of_pos_right T_node_pos).mpr h_real
  72
  73/-- Linearity: throughput at 2N is exactly twice throughput at N. -/

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