Theorems · Theorem · group theory
Finset.prod_Ico_succ_div_top
∀ {M : Type u_4} (f : ℕ → M) {m n : ℕ} [inst : CommGroup M],
m ≤ n → (∏ i ∈ Finset.Ico m (n + 1), f i) / f n = ∏ i ∈ Finset.Ico m n, f i- Defined in
- Mathlib.Algebra.BigOperators.Intervals
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroup
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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
- CommGroupstatement and proof · cited by 990
- Finset.Icostatement · cited by 450
- div_eq_iff_eq_mulproof · cited by 7
- Finset.prod_Ico_succ_topproof · cited by 4
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