Theorems · Definition · group theory
AddGroup.divisibleByIntOfDivisibleByNat
(A : Type u_1) → [inst : AddGroup A] → [DivisibleBy A ℕ] → DivisibleBy A ℤ
An additive group is ℤ-divisible if it is ℕ-divisible.
- Defined in
- Mathlib.GroupTheory.Divisible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext
- Assumes
- AddGroupDivisibleBy
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- AddGroupstatement and proof · cited by 4,410
- DivisibleBystatement and proof · cited by 8
- DivisibleBy.divproof · cited by 6
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