Theorems · Theorem · group theory
intEquivOfZMultiplesEqTop_symm_self
∀ {G : Type u_2} [inst : Infinite G] [inst_1 : AddGroup G] (g : G) (hg : AddSubgroup.zmultiples g = ⊤),
(intEquivOfZMultiplesEqTop g hg).symm g = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- AddSubgroupstatement · cited by 3,232
- one_smulproof · cited by 1,374
- AddEquivstatement · cited by 1,087
- AddEquiv.symmstatement · cited by 530
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- Infinitestatement and proof · cited by 352
- intEquivOfZMultiplesEqTopstatement and proof · cited by 4
- intEquivOfZMultiplesEqTop_applyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- intEquivOfZMultiplesEqTop_symm_apply_zsmulproof · cited by 0