Theorems · Theorem · group theory
card_zmultiples_le
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : Fintype G] (a : G) {k : ℕ},
k ≠ 0 → k • a = 0 → Fintype.card ↥(AddSubgroup.zmultiples a) ≤ k- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- Fintype.cardstatement · cited by 1,386
- AddSubgroup.zmultiplesstatement · cited by 493
- Ne.bot_ltproof · cited by 116
- Fintype.card_zmultiplesproof · cited by 3
- addOrderOf_le_of_nsmul_eq_zeroproof · cited by 2
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