Theorems · Theorem · group theory
IsAddCyclic.unique_zsmul_zmod
∀ {α : Type u_1} {a : α} [inst : AddGroup α] [inst_1 : Fintype α],
(∀ (x : α), x ∈ AddSubgroup.zmultiples a) → ∀ (x : α), ∃! n, x = n.val • a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites20
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 and proof · cited by 1,386
- ZModstatement and proof · cited by 1,024
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- ExistsUniquestatement · cited by 268
- Nat.card_eq_fintype_cardproof · cited by 200
- ZMod.valstatement and proof · cited by 159
- Int.ModEqproof · cited by 147
- natCast_zsmulproof · cited by 118
- ZMod.natCast_valproof · cited by 27
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