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Theorems · Theorem · combinatorics

List.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
3 results in Mathlib
Foundations
Depth 58 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.

FormalMultilinearSeries.coeff_ofScalars · cited by 23FormalMultilinearSeries.c…LinearMap.IsSymmetric.det_eq_prod_eigenvalues · cited by 1IsSymmetric.det_eq_prod_e…ContinuousMultilinearMap.mkPiAlgebra_eq_mkPiAlgebraFin · cited by 0ContinuousMultilinearMap.…Finset.univ · cited by 3473Finset.univFinset.prod · cited by 2356Finset.prodCommMonoid · cited by 2264CommMonoidFin.prod_ofFn · cited by 2Fin.prod_ofFnList.prod_ofFnCITED BYCITES

Cites4

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Cited by3

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