Theorems · Theorem · sequences and series
Multipliable.comp_injective
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : UniformSpace α] [inst_1 : CommGroup α] [IsUniformGroup α]
{f : β → α} [CompleteSpace α] {i : γ → β}, Multipliable f → Function.Injective i → Multipliable (f ∘ i)- Cited by
- 7 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.rangeproof · cited by 4,705
- 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
- Multipliablestatement and proof · cited by 213
- IsUniformGroupstatement and proof · cited by 145
- Set.mulIndicator_of_notMemproof · cited by 27
- Set.mulIndicator_range_compproof · cited by 2
- Multipliable.mulIndicatorproof · cited by 1
- Function.Injective.multipliable_iffproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- Multipliable.subtypeproof · cited by 6
- Multipliable.prod_factorproof · cited by 2
- Multipliable.sigma_factorproof · cited by 2
- tprod_primes_pow_eqproof · cited by 1
- multipliable_int_iff_multipliable_nat_and_negproof · cited by 1
- multipliable_int_iff_multipliable_nat_and_neg_add_oneproof · cited by 0
- tprod_eq_tprod_primes_mul_tprod_primes_of_mulSupport_subset_prime_powersproof · cited by 0