Theorems · Theorem · sequences and series
Real.multipliable_one_add_of_summable
∀ {ι : Type u_1} {f : ι → ℝ}, Summable f → Multipliable fun i => 1 + f i- Cited by
- 1 results in Mathlib
- Foundations
- Depth 278 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Nat.cast_zeroproof · cited by 1,870
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- Summablestatement and proof · cited by 778
- lt_of_not_geproof · cited by 374
- Multipliablestatement · cited by 213
- Summable.tendsto_cofinite_zeroproof · cited by 16
- neg_one_lt_zeroproof · cited by 14
- Filter.Tendsto.eventually_const_ltproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- multipliable_norm_one_add_of_summable_normproof · cited by 1