Theorems · Theorem · group theory
AddMonoid.exponent_eq_sInf
∀ {G : Type u} [inst : AddMonoid G], AddMonoid.exponent G = sInf {d | 0 < d ∧ ∀ (x : G), d • x = 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
- AddMonoid
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.ofPredstatement and proof · cited by 6,101
- AddMonoidstatement and proof · cited by 2,864
- Set.Nonemptyproof · cited by 2,627
- InfSet.sInfstatement and proof · cited by 935
- Nat.findproof · cited by 139
- AddMonoid.exponentstatement · cited by 70
- Set.eq_empty_of_forall_notMemproof · cited by 21
- AddMonoid.ExponentExistsproof · cited by 17
- Nat.sInf_defproof · cited by 13
- Nat.sInf_emptyproof · cited by 9
- AddMonoid.exponent_eq_zero_iffproof · cited by 5
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