Theorems · Theorem · group theory
Finset.eq_prod_range_div
∀ {G : Type u_3} [inst : CommGroup G] (f : ℕ → G) (n : ℕ), f n = f 0 * ∏ i ∈ Finset.range n, f (i + 1) / f iExpress f n as f 0 multiplied by the telescoping product of consecutive ratios from
0 to n - 1.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.prodstatement · cited by 2,356
- Finset.rangestatement · cited by 1,341
- CommGroupstatement and proof · cited by 990
- mul_div_cancelproof · cited by 9
- Finset.prod_range_divproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Finset.eq_prod_range_div'proof · cited by 0