Theorems · Definition · group theory
AddSubgroup.zmultiples
{G : Type u_1} → [inst : AddGroup G] → G → AddSubgroup GThe additive subgroup generated by an element.
- Cited by
- 493 results in Mathlib
- Foundations
- Depth 32 from the axioms, rests on 233 definitions · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.rangeproof · cited by 4,705
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
Cited by531
Results whose statement or proof uses this declaration.
- AddCircleproof · cited by 189
- fourierstatement · cited by 62
- ZMod.toAddCirclestatement · cited by 32
- AddCircle.haarAddCirclestatement · cited by 28
- Orientation.oangle_selfproof · cited by 17
- UnitAddTorus.mFourierstatement · cited by 15
- Nat.card_zmultiplesstatement and proof · cited by 11
- AddSubgroup.mem_zmultiples_iffstatement · cited by 11
- AddSubgroup.mem_zmultiplesstatement · cited by 10
- fourierLpstatement · cited by 9
- Polynomial.toAddCirclestatement · cited by 9
- AddSubgroup.zmultiples_eq_closurestatement · cited by 9
Showing the 200 most cited of 531.