Theorems · Definition
Equiv.addCommMonoid
{α : Type u_2} → {β : Type u_3} → α ≃ β → [AddCommMonoid β] → AddCommMonoid αTransfer AddCommMonoid across an Equiv
- Defined in
- Mathlib.Algebra.Group.TransferInstance
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- 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
- Function.Injective.addCommMonoidproof · cited by 0
Cited by13
Results whose statement or proof uses this declaration.
- Equiv.linearEquivstatement · cited by 9
- Equiv.modulestatement · cited by 8
- OrzechProperty.injective_of_surjective_of_injectiveproof · cited by 5
- Equiv.coalgebrastatement · cited by 1
- Equiv.continuousLinearEquivstatement · cited by 1
- Equiv.coalgebraIsCocommstatement · cited by 0
- Equiv.coalgebraStructstatement · cited by 0
- Equiv.moduleIsTorsionFreestatement and proof · cited by 0
- Equiv.linearEquiv_applystatement · cited by 0
- Equiv.linearEquiv_symm_applystatement · cited by 0
- Equiv.tensorProductAssoc_defstatement · cited by 0
- Equiv.tensorProductComm_defstatement · cited by 0