Mathlib Map

Theorems · Definition · group theory

AddEquiv.refl

(M : Type u_9) → [inst : Add M] → M ≃+ M

The identity map is an additive isomorphism.

Defined in
Mathlib.Algebra.Group.Equiv.Defs
Cited by
34 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
Add
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Around this declaration

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

RingEquiv.refl · cited by 72RingEquiv.reflAlgebra.Extension.cotangentComplex · cited by 48Extension.cotangentComplexstarL' · cited by 15starL'ModuleCat.restrictScalarsComp'App · cited by 11ModuleCat.restrictScalars…ModuleCat.restrictScalarsId'App · cited by 10ModuleCat.restrictScalars…RestrictScalars.addEquiv · cited by 9RestrictScalars.addEquivSubmodule.restrictScalarsEquiv · cited by 6Submodule.restrictScalars…ContinuousAddEquiv.refl · cited by 5ContinuousAddEquiv.reflOrderAddMonoidIso.refl · cited by 5OrderAddMonoidIso.reflRep.toAdditive · cited by 4Rep.toAdditiveModuleCat.restrictScalarsCongr · cited by 3ModuleCat.restrictScalars…AddCon.comapQuotientEquivOfSurj · cited by 3AddCon.comapQuotientEquiv…AddCommGroup.equiv_free_prod_directSum_zmod · cited by 2AddCommGroup.equiv_free_p…AlgebraicGeometry.tilde.modulesSpecToSheafIso · cited by 2tilde.modulesSpecToSheafI…AddGroupExtension.Equiv.refl · cited by 2Equiv.reflEquiv · cited by 8337EquivAddEquiv · cited by 1087AddEquivEquiv.refl · cited by 274Equiv.reflAddEquiv.reflCITED BYCITES

Cites3

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Cited by54

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