Theorems · Definition · group theory
intCyclicMulEquiv
{G : Type u_2} → [Infinite G] → [inst : Group G] → [IsCyclic G] → Multiplicative ℤ ≃* GAn infinite cyclic group is isomorphic to Multiplicative ℤ.
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- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MulEquivstatement · cited by 1,142
- Multiplicativestatement · cited by 875
- Infinitestatement and proof · cited by 352
- IsCyclicstatement and proof · cited by 122
- intEquivOfZPowersEqTopproof · cited by 11
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