Theorems · Definition · group theory
AddSubgroup.LeftTransversal
{G : Type u_1} → [inst : AddGroup G] → AddSubgroup G → Type (max 0 u_1)The collection of left transversals of a subgroup.
- Defined in
- Mathlib.GroupTheory.Complement
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- AddGroup
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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.IsComplementproof · cited by 57
Cited by10
Results whose statement or proof uses this declaration.
- AddSubgroup.leftTransversals.diffstatement and proof · cited by 5
- AddSubgroup.leftTransversals.diff_add_diffstatement and proof · cited by 3
- AddMonoidHom.transferproof · cited by 1
- AddSubgroup.leftTransversals.diff_selfstatement and proof · cited by 1
- AddSubgroup.leftTransversals.vadd_diff_vaddstatement and proof · cited by 1
- AddSubgroup.vadd_leftQuotientEquivstatement and proof · cited by 1
- AddSubgroup.vadd_apply_eq_vadd_apply_neg_vaddstatement and proof · cited by 1
- AddSubgroup.vadd_toLeftFunstatement and proof · cited by 1
- AddMonoidHom.transfer_defstatement and proof · cited by 0
- AddSubgroup.leftTransversals.diff_negstatement and proof · cited by 0