Theorems · Theorem · sequences and series
Equiv.tsum_eq
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] (e : γ ≃ β)
(f : β → α), ∑' (c : γ), f (e c) = ∑' (b : β), f b- Cited by
- 44 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement and proof · cited by 8,337
- SummationFilter.unconditionalstatement · cited by 2,068
- tsumstatement · cited by 1,148
- Function.supportproof · cited by 610
- Equiv.injectiveproof · cited by 464
- Set.subset_univproof · cited by 228
- EquivLike.range_eq_univproof · cited by 27
- Function.Injective.tsum_eqproof · cited by 6
Cited by44
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.prod_swapproof · cited by 14
- jacobiTheta₂_neg_leftproof · cited by 7
- tsum_pnat_eq_tsum_succproof · cited by 7
- jacobiTheta₂'_neg_leftproof · cited by 5
- PeriodPair.derivWeierstrassP_add_coeproof · cited by 3
- Summable.tsum_mul_tsum_eq_tsum_sum_antidiagonalproof · cited by 3
- tsum_imageproof · cited by 3
- Summable.tsum_comm'proof · cited by 2
- MeasureTheory.IsFundamentalDomain.setLIntegral_eq_tsum'proof · cited by 2
- tsum_primes_pow_eqproof · cited by 2
- tsum_prod_pow_eq_tsum_sigmaproof · cited by 2
- ContinuousMap.periodic_tsum_comp_add_zsmulproof · cited by 2