Theorems · Theorem · group theory
Subgroup.leftTransversals.diff_self
∀ {G : Type u_1} [inst : Group G] {H : Subgroup G} {A : Type u_2} [inst_1 : CommGroup A] (ϕ : ↥H →* A)
(T : H.LeftTransversal) [inst_2 : H.FiniteIndex], Subgroup.leftTransversals.diff ϕ T T = 1- Defined in
- Mathlib.GroupTheory.Transfer
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- CommGroupstatement and proof · cited by 990
- Subgroup.FiniteIndexstatement and proof · cited by 113
- Subgroup.LeftTransversalstatement and proof · cited by 13
- Subgroup.leftTransversals.diffstatement · cited by 8
- mul_eq_leftproof · cited by 7
- Subgroup.leftTransversals.diff_mul_diffproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.leftTransversals.diff_invproof · cited by 2
- Subgroup.eq_one_of_smul_eq_oneproof · cited by 1