Theorems · Theorem · sequences and series
Multipliable.prod
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : CommGroup α] [inst_1 : UniformSpace α] [IsUniformGroup α]
[CompleteSpace α] {f : β × γ → α}, Multipliable f → Multipliable fun b => ∏' (c : γ), f (b, c)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CompleteSpacestatement and proof · cited by 2,532
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- UniformSpacestatement and proof · cited by 2,040
- CommGroupstatement and proof · cited by 990
- tprodstatement · cited by 230
- Multipliablestatement and proof · cited by 213
- IsUniformGroupstatement and proof · cited by 145
- Equiv.sigmaEquivProdproof · cited by 47
- Equiv.multipliable_iffproof · cited by 3
- Multipliable.sigmaproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- tprod_eq_tprod_primes_mul_tprod_primes_of_mulSupport_subset_prime_powersproof · cited by 0