Theorems · Theorem · group theory
Finset.prod_Icc_eq_prod_Ico_mul
∀ {α : Type u_1} [inst : CommMonoid α] (f : ℤ → α) {l u : ℤ},
l ≤ u → ∏ m ∈ Finset.Icc l u, f m = (∏ m ∈ Finset.Ico l u, f m) * f u- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- mul_commproof · cited by 2,262
- Finset.prod_congrproof · cited by 646
- Finset.Icostatement and proof · cited by 450
- Finset.Iccstatement · cited by 348
- Finset.prod_insertproof · cited by 109
- Finset.cons_eq_insertproof · cited by 59
- Finset.right_notMem_Icoproof · cited by 13
- Finset.Icc_eq_cons_Icoproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- HasProd.hasProd_symmetricIco_of_hasProd_symmetricIccproof · cited by 2