Theorems · Definition · group theory
Subgroup.LeftTransversal
{G : Type u_1} → [inst : Group G] → Subgroup G → Type (max 0 u_1)The collection of left transversals of a subgroup
- Defined in
- Mathlib.GroupTheory.Complement
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Subgroup.IsComplementproof · cited by 94
Cited by17
Results whose statement or proof uses this declaration.
- Subgroup.leftTransversals.diffstatement and proof · cited by 8
- MonoidHom.transferproof · cited by 6
- Subgroup.smul_apply_eq_smul_apply_inv_smulstatement and proof · cited by 4
- Subgroup.transferTransversalstatement · cited by 4
- Subgroup.QuotientDiffproof · cited by 3
- Subgroup.leftTransversals.diff_mul_diffstatement and proof · cited by 3
- Subgroup.smul_diff'statement and proof · cited by 2
- Subgroup.leftTransversals.diff_invstatement and proof · cited by 2
- Subgroup.leftTransversals.diff_selfstatement and proof · cited by 2
- Subgroup.exists_smul_eqproof · cited by 1
- Subgroup.smul_leftQuotientEquivstatement and proof · cited by 1
- Subgroup.leftTransversals.smul_diff_smulstatement and proof · cited by 1