Theorems · Theorem · group theory
Finset.prod_range_add
∀ {M : Type u_4} [inst : CommMonoid M] (f : ℕ → M) (n m : ℕ),
∏ x ∈ Finset.range (n + m), f x = (∏ x ∈ Finset.range n, f x) * ∏ x ∈ Finset.range m, f (n + x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- mul_assocproof · cited by 1,667
- Finset.rangestatement and proof · cited by 1,341
- Finset.prod_congrproof · cited by 646
- Finset.prod_range_succproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- Finset.prod_range_add_div_prod_rangeproof · cited by 0