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Theorems · Theorem · group theory

intEquivOfZMultiplesEqTop_apply

∀ {G : Type u_2} [inst : Infinite G] [inst_1 : AddGroup G] (g : G) (hg : AddSubgroup.zmultiples g = ⊤) (a : ℤ),
  (intEquivOfZMultiplesEqTop g hg) a = a • g
Defined in
Mathlib.GroupTheory.SpecificGroups.Cyclic
Cited by
1 results in Mathlib
Foundations
Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
InfiniteAddGroup
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Around this declaration

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intEquivOfZMultiplesEqTop_symm_self · cited by 1intEquivOfZMultiplesEqTop…DFunLike.coe · cited by 62936DFunLike.coeTop.top · cited by 9680Top.topAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddEquiv · cited by 1087AddEquivAddSubgroup.zmultiples · cited by 493AddSubgroup.zmultiplesInfinite · cited by 352InfiniteintEquivOfZMultiplesEqTop · cited by 4intEquivOfZMultiplesEqTopintEquivOfZMultiplesEqTop_app…CITED BYCITES

Cites8

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Cited by1

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