Theorems · Theorem · group theory
AddMonoidHom.transfer_def
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G} {A : Type u_2} [inst_1 : AddCommGroup A] (ϕ : ↥H →+ A)
(T : H.LeftTransversal) [inst_2 : H.FiniteIndex] (g : G),
ϕ.transfer g = AddSubgroup.leftTransversals.diff ϕ T (g +ᵥ T)- Defined in
- Mathlib.GroupTheory.Transfer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- HVAdd.hVAddstatement and proof · cited by 1,820
- add_commproof · cited by 1,535
- AddSubgroup.FiniteIndexstatement and proof · cited by 66
- AddSubgroup.LeftTransversalstatement and proof · cited by 8
- AddSubgroup.leftTransversals.diffstatement and proof · cited by 5
- AddSubgroup.leftTransversals.diff_add_diffproof · cited by 3
- AddMonoidHom.transferstatement · cited by 1
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