Theorems · Theorem · combinatorics
Fin.prod_snoc
∀ {M : Type u_2} [inst : CommMonoid M] {n : ℕ} (x : M) (f : Fin n → M), ∏ i, Fin.snoc f x i = (∏ i, f i) * x- 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
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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.snocstatement and proof · cited by 113
- Fin.snoc_castSuccproof · cited by 38
- Fin.snoc_lastproof · cited by 37
- Fin.prod_univ_castSuccproof · cited by 10
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