Theorems · Theorem · group theory
mod_card_zsmul
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : Fintype G] (a : G) (n : ℤ), (n % ↑(Fintype.card G)) • a = n • a- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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
- Fintype.cardstatement and proof · cited by 1,386
- addOrderOf_dvd_cardproof · cited by 5
- mod_addOrderOf_zsmulproof · cited by 3
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