Theorems · Theorem · combinatorics
Fin.prod_univ_three
∀ {M : Type u_2} [inst : CommMonoid M] (f : Fin 3 → M), ∏ i, f i = f 0 * f 1 * f 2- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 81 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.univstatement · cited by 3,473
- Finset.prodstatement · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Fin.prod_univ_twoproof · cited by 16
- Fin.prod_univ_castSuccproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- Fin.prod_univ_fourproof · cited by 1
- Affine.Triangle.prod_dist_div_dist_eq_one_of_mem_line_of_mem_lineproof · cited by 0
- Nat.multinomial_univ_threeproof · cited by 0
- Nat.finMulAntidiag_threeproof · cited by 0