Subgroup.exists_pow_mem_of_index_ne_zero

∀ {G : Type u_1} [inst : Group G] {H : Subgroup G}, H.index ≠ 0 → ∀ (a : G), ∃ n, 0 < n ∧ n ≤ H.index ∧ a ^ n ∈ H

Defined in: Mathlib.GroupTheory.Index
Cited by: 2 results in Mathlib
Foundations: Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group

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