theorem
proved
term proof
faster_contraction_faster_thinking
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formal statement (Lean)
88theorem faster_contraction_faster_thinking (c₁ c₂ : ℝ)
89 (h₁ : 0 < c₁) (h₂ : 0 < c₂)
90 (h_faster : c₁ < c₂) (error : ℝ) (he : 0 < error) (n : ℕ) :
91 c₁ ^ n * error ≤ c₂ ^ n * error := by
proof body
Term-mode proof.
92 apply mul_le_mul_of_nonneg_right
93 · exact pow_le_pow_left₀ (le_of_lt h₁) (le_of_lt h_faster) n
94 · exact le_of_lt he
95
96end IndisputableMonolith.Foundation.RHatFixedPoint