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Theorems · Theorem · combinatorics

Fin.prod_ofFn

∀ {M : Type u_2} [inst : CommMonoid M] {n : ℕ} (f : Fin n → M), (List.ofFn f).prod = ∏ i, f i
Defined in
Mathlib.Algebra.BigOperators.Fin
Cited by
2 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

List.prod_ofFn · cited by 3List.prod_ofFnFin.prod_univ_def · cited by 1Fin.prod_univ_defFinset.univ · cited by 3473Finset.univFinset.prod · cited by 2356Finset.prodCommMonoid · cited by 2264CommMonoidMultiset.prod · cited by 528Multiset.prodFin.univ_val_map · cited by 15Fin.univ_val_mapFin.prod_ofFnCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.