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Theorems · Theorem · combinatorics

Fintype.prod_eq_one

∀ {α : Type u_1} {M : Type u_4} [inst : Fintype α] [inst_1 : CommMonoid M] (f : α → M),
  (∀ (a : α), f a = 1) → ∏ a, f a = 1
Defined in
Mathlib.Data.Fintype.BigOperators
Cited by
2 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeCommMonoid
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Around this declaration

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

Polynomial.det_taylorLinearEquiv_toLinearMap · cited by 1Polynomial.det_taylorLine…Fin.prod_trunc · cited by 0Fin.prod_truncFintype · cited by 7736FintypeFinset.univ · cited by 3473Finset.univFinset.prod · cited by 2356Finset.prodCommMonoid · cited by 2264CommMonoidFinset.prod_eq_one · cited by 22Finset.prod_eq_oneFintype.prod_eq_oneCITED BYCITES

Cites5

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Cited by2

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