Theorems · Theorem · sequences and series
HasProd.zero_mul
∀ {M : Type u_1} [inst : CommMonoid M] [inst_1 : TopologicalSpace M] {m : M} [ContinuousMul M] {f : ℕ → M},
HasProd (fun n => f (n + 1)) m → HasProd f (f 0 * m)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- CommMonoidstatement and proof · cited by 2,264
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- ContinuousMulstatement and proof · cited by 343
- HasProdstatement and proof · cited by 157
- Finset.prod_range_oneproof · cited by 4
- HasProd.prod_range_mulproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- HasProd.of_add_one_of_neg_add_oneproof · cited by 2