Theorems · Theorem · sequences and series
Multipliable.tprod_eq_zero_mul
∀ {G : Type u_2} [inst : CommGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G] [T2Space G] {f : ℕ → G},
Multipliable f → ∏' (b : ℕ), f b = f 0 * ∏' (b : ℕ), f (b + 1)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- T2Spacestatement and proof · cited by 1,351
- CommGroupstatement and proof · cited by 990
- IsTopologicalGroupstatement and proof · cited by 469
- tprodstatement · cited by 230
- Multipliablestatement and proof · cited by 213
- multipliable_nat_add_iffproof · cited by 5
- tprod_eq_zero_mul'proof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- tprod_zero_pnat_eq_tprod_natproof · cited by 1
- tprod_eq_tprod_primes_mul_tprod_primes_of_mulSupport_subset_prime_powersproof · cited by 0