Theorems · Definition
Equiv.addGroup
{α : Type u_2} → {β : Type u_3} → α ≃ β → [AddGroup β] → AddGroup αTransfer AddGroup across an Equiv
- Defined in
- Mathlib.Algebra.Group.TransferInstance
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- Equiv.injectiveproof · cited by 464
- Equiv.addproof · cited by 8
- Equiv.smulproof · cited by 7
- Equiv.zeroproof · cited by 2
- Equiv.subproof · cited by 1
- Equiv.Negproof · cited by 1
- Function.Injective.addGroupproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- Equiv.addGroupWithOneproof · cited by 0
- AddRightCancelMonoid.addGroupOfFiniteproof · cited by 0
- Finite.exists_type_univ_nonempty_addEquivproof · cited by 0