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Move convergence file
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ericluap committed Dec 16, 2024
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2 changes: 1 addition & 1 deletion OrderedSemigroups/OrderedGroup/Approximate.lean
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import OrderedSemigroups.OrderedGroup.ArchimedeanGroup
import OrderedSemigroups.Convergence
import OrderedSemigroups.OrderedGroup.Convergence
import OrderedSemigroups.Basic

/-!
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import Mathlib.Analysis.Normed.Order.Lattice

/-!
# Convergence of a particular sequence
This file proves that sequences satisfying a particular condition converge.
This is used in the proof of Holder's theorem to show that the
sequence of approximations do converge.
-/


open Filter

lemma arch_nat {e C : ℝ} (C_pos : C > 0) (e_pos : e > 0) : ∃n : ℕ+, 1 / n < e/(2*C) := by
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