Theorems · Theorem · group theory
intEquivOfZMultiplesEqTop_symm_apply_zsmul
∀ {G : Type u_2} [inst : Infinite G] [inst_1 : AddGroup G] {g : G} (hg : AddSubgroup.zmultiples g = ⊤) (k : ℤ),
(intEquivOfZMultiplesEqTop g hg).symm (k • g) = k- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement · cited by 62,936
- Top.topstatement and proof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- mul_oneproof · cited by 3,885
- AddSubgroupstatement · cited by 3,232
- AddEquivstatement · cited by 1,087
- AddEquiv.symmstatement and proof · cited by 530
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- Infinitestatement and proof · cited by 352
- map_zsmulproof · cited by 18
- intEquivOfZMultiplesEqTopstatement and proof · cited by 4
- intEquivOfZMultiplesEqTop_symm_selfproof · cited by 1
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