Theorems · Theorem · sequences and series
tsum_nat_add_neg_add_one
∀ {M : Type u_1} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M] [T2Space M] {f : ℤ → M},
Summable f → ∑' (n : ℕ), (f ↑n + f (-(↑n + 1))) = ∑' (n : ℤ), f n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommMonoidstatement and proof · cited by 12,281
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- T2Spacestatement and proof · cited by 1,351
- tsumstatement · cited by 1,148
- Summablestatement and proof · cited by 778
- Summable.hasSumproof · cited by 184
- HasSum.tsum_eqproof · cited by 150
- HasSum.nat_add_neg_add_oneproof · cited by 5
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