Theorems · Theorem · combinatorics
Fin.prod_cons
∀ {M : Type u_2} [inst : CommMonoid M] {n : ℕ} (x : M) (f : Fin n → M), ∏ i, Fin.cons x f i = x * ∏ i, f i- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 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.
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.prod_congrproof · cited by 646
- Fin.consstatement and proof · cited by 190
- Fin.cons_succproof · cited by 54
- Fin.cons_zeroproof · cited by 53
- Fin.prod_univ_succproof · cited by 17
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.