Theorems · Definition · group theory
intCyclicAddEquiv
{G : Type u_2} → [Infinite G] → [inst : AddGroup G] → [IsAddCyclic G] → ℤ ≃+ GAn infinite cyclic additive group is isomorphic to ℤ.
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- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- InfiniteAddGroupIsAddCyclic
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddEquivstatement · cited by 1,087
- Infinitestatement and proof · cited by 352
- IsAddCyclicstatement and proof · cited by 55
- intEquivOfZMultiplesEqTopproof · cited by 4
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