Theorems · Theorem · sequences and series
tsum_comp_neg
∀ {α : Type u_1} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {β : Type u_4} [inst_2 : InvolutiveNeg β]
(f : β → α), ∑' (d : β), f (-d) = ∑' (d : β), f d- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 2,068
- tsumstatement · cited by 1,148
- InvolutiveNegstatement and proof · cited by 151
- Equiv.negproof · cited by 53
- Equiv.tsum_eqproof · cited by 44
Cited by2
Results whose statement or proof uses this declaration.
- EisensteinSeries.e2Summand_evenproof · cited by 1
- tsum_eisSummand_eq_tsum_sigma_mul_cexp_powproof · cited by 1