Theorems · Definition · group theory
Subgroup.leftTransversals.diff
{G : Type u_1} →
[inst : Group G] →
{H : Subgroup G} →
{A : Type u_2} → [inst_1 : CommGroup A] → (↥H →* A) → H.LeftTransversal → H.LeftTransversal → [H.FiniteIndex] → AThe difference of two left transversals
- Defined in
- Mathlib.GroupTheory.Transfer
- Cited by
- 8 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivproof · cited by 8,337
- Fintypeproof · cited by 7,736
- Set.Elemproof · cited by 7,166
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- Finset.univproof · cited by 3,473
- Finset.prodproof · cited by 2,356
- HasQuotient.Quotientproof · cited by 2,301
- CommGroupstatement and proof · cited by 990
- Subgroup.FiniteIndexstatement and proof · cited by 113
Cited by10
Results whose statement or proof uses this declaration.
- MonoidHom.transferproof · cited by 6
- Subgroup.QuotientDiffproof · cited by 3
- Subgroup.leftTransversals.diff_mul_diffstatement · cited by 3
- Subgroup.smul_diff'statement and proof · cited by 2
- Subgroup.leftTransversals.diff_invstatement · cited by 2
- Subgroup.leftTransversals.diff_selfstatement · cited by 2
- Subgroup.exists_smul_eqproof · cited by 1
- Subgroup.leftTransversals.smul_diff_smulstatement · cited by 1
- MonoidHom.transfer_defstatement and proof · cited by 1
- Subgroup.smul_diff_smul'statement · cited by 0