Mathlib Map

Theorems · Definition · group theory

AddEquiv.toAddHom

{A : Type u_9} → {B : Type u_10} → [inst : Add A] → [inst_1 : Add B] → A ≃+ B → A →ₙ+ B

The AddHom underlying an AddEquiv.

Defined in
Mathlib.Algebra.Group.Equiv.Defs
Cited by
10 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
AddAdd
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AddEquiv.withZeroCongr · cited by 4AddEquiv.withZeroCongrAddEquiv.toAddMagmaCatIso · cited by 2AddEquiv.toAddMagmaCatIsoAddEquiv.toAddSemigrpIso · cited by 2AddEquiv.toAddSemigrpIsoAddEquiv.symm_map_add · cited by 2AddEquiv.symm_map_addAddEquiv.toAddHom_eq_coe · cited by 0AddEquiv.toAddHom_eq_coeAddEquiv.toAddMagmaCatIso_hom · cited by 0AddEquiv.toAddMagmaCatIso…AddEquiv.toAddMagmaCatIso_inv · cited by 0AddEquiv.toAddMagmaCatIso…AddEquiv.toAddSemigrpIso_hom · cited by 0AddEquiv.toAddSemigrpIso_…AddEquiv.toAddSemigrpIso_inv · cited by 0AddEquiv.toAddSemigrpIso_…AddEquiv.coe_toAddHom · cited by 0AddEquiv.coe_toAddHomAddEquiv.withZeroCongr_apply · cited by 0AddEquiv.withZeroCongr_ap…OrderIso.map_tsub · cited by 0OrderIso.map_tsubAddEquiv.withZeroCongr_trans · cited by 0AddEquiv.withZeroCongr_tr…GradedModule.linearEquiv · cited by 0GradedModule.linearEquivAddEquiv · cited by 1087AddEquivAddHom · cited by 294AddHomEquiv.toFun · cited by 279Equiv.toFunAddEquiv.toEquiv · cited by 174AddEquiv.toEquivAddEquiv.map_add' · cited by 5AddEquiv.map_add'AddEquiv.toAddHomCITED BYCITES

Cites5

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

Cited by14

Results whose statement or proof uses this declaration.