Mathlib Map

Theorems · Definition

Equiv.group

{α : Type u_2} → {β : Type u_3} → α ≃ β → [Group β] → Group α

Transfer Group 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
Group
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HomotopyGroup.auxGroup · cited by 2HomotopyGroup.auxGroupFinite.exists_type_univ_nonempty_mulEquiv · cited by 0Finite.exists_type_univ_n…RightCancelMonoid.groupOfFinite · cited by 0RightCancelMonoid.groupOf…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivGroup · cited by 6238GroupEquiv.injective · cited by 464Equiv.injectiveEquiv.mul · cited by 8Equiv.mulEquiv.div · cited by 1Equiv.divEquiv.one · cited by 1Equiv.oneEquiv.pow · cited by 1Equiv.powEquiv.Inv · cited by 1Equiv.InvFunction.Injective.group · cited by 0Injective.groupEquiv.groupCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.