Theorems · Theorem · general topology
AddCircle.finite_torsion_of_isSMulRegular_int
∀ {𝕜 : Type u_1} [inst : AddCommGroup 𝕜] (p : 𝕜) (n : ℤ), IsSMulRegular 𝕜 n → {x | n • x = 0}.Finite- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- Set.ofPredstatement and proof · cited by 6,101
- Nontrivialproof · cited by 2,416
- Set.Finitestatement and proof · cited by 1,814
- eq_or_neproof · cited by 1,117
- LE.le.trans_ltproof · cited by 795
- AddSubgroup.zmultiplesstatement · cited by 493
- AddCirclestatement and proof · cited by 189
- IsSMulRegularstatement and proof · cited by 128
- ENat.natCast_lt_topproof · cited by 9
- ENat.card_lt_topproof · cited by 4
- IsSMulRegular.not_zeroproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AddCircle.isAddQuotientCoveringMap_zsmulproof · cited by 2
- Circle.isQuotientCoveringMap_zpowproof · cited by 1