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Theorems · Theorem · sequences and series

SummationFilter.eq_unconditional_of_finite

∀ {β : Type u_4} [Finite β] (L : SummationFilter β) [L.LeAtTop] [L.NeBot], L = SummationFilter.unconditional β

If β is finite, then unconditional β is the only summation filter L on β satisfying L.LeAtTop and L.NeBot.

Defined in
Mathlib.Topology.Algebra.InfiniteSum.SummationFilter
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Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FiniteSummationFilter.LeAtTopSummationFilter.NeBot

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