Theorems · Definition
Equiv.addCommGroup
{α : Type u_2} → {β : Type u_3} → α ≃ β → [AddCommGroup β] → AddCommGroup αTransfer AddCommGroup across an Equiv
- Defined in
- Mathlib.Algebra.Group.TransferInstance
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses Quot.sound
- Assumes
- AddCommGroup
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
- AddCommGroupstatement and proof · cited by 12,871
- Equivstatement and proof · cited by 8,337
- 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.addCommGroupproof · cited by 0
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.Preadditive.addCommGroupproof · cited by 2
- CategoryTheory.Preadditive.ofFullyFaithfulproof · cited by 2