Theorems · Theorem · group theory
AddSubgroup.leftTransversals.vadd_diff_vadd
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G} {A : Type u_2} [inst_1 : AddCommGroup A] (ϕ : ↥H →+ A)
(S T : H.LeftTransversal) [inst_2 : H.FiniteIndex] (g : G),
AddSubgroup.leftTransversals.diff ϕ (g +ᵥ S) (g +ᵥ T) = AddSubgroup.leftTransversals.diff ϕ S T- Defined in
- Mathlib.GroupTheory.Transfer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- Fintypeproof · cited by 7,736
- AddGroupstatement and proof · cited by 4,410
- Equiv.symmproof · cited by 3,681
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- HasQuotient.Quotientproof · cited by 2,301
- HVAdd.hVAddstatement and proof · cited by 1,820
- add_assocproof · cited by 746
- neg_add_revproof · cited by 236
- neg_add_cancel_leftproof · cited by 84
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidHom.transfer_defproof · cited by 0