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Theorems · Theorem · group theory

Monoid.exponent_pi_eq_zero

∀ {ι : Type u_1} {M : ι → Type u_2} [inst : (i : ι) → Monoid (M i)] {j : ι},
  Monoid.exponent (M j) = 0 → Monoid.exponent ((i : ι) → M i) = 0
Defined in
Mathlib.GroupTheory.Exponent
Cited by
0 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Monoid
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Monoid · cited by 3887MonoidMonoid.exponent · cited by 128Monoid.exponentPi.mulSingle · cited by 111Pi.mulSinglePi.mulSingle_eq_same · cited by 18Pi.mulSingle_eq_sameMonoid.exponent_eq_zero_iff · cited by 5Monoid.exponent_eq_zero_i…Monoid.exponent_pi_eq_zeroCITED BYCITES

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