Theorems · Theorem · group theory
zmultiplesHom_bijective
∀ {G : Type u_2} [Infinite G] [inst : AddGroup G] {g : G},
AddSubgroup.zmultiples g = ⊤ → Function.Bijective ⇑((zmultiplesHom G) g)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Top.topstatement and proof · cited by 9,680
- Equivstatement · cited by 8,337
- SetLike.coeproof · cited by 8,199
- Bot.botproof · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- Function.Bijectivestatement · cited by 863
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- Infinitestatement and proof · cited by 352
- Set.Infiniteproof · cited by 263
Cited by1
Results whose statement or proof uses this declaration.
- intEquivOfZMultiplesEqTopproof · cited by 4