Mathlib Map

Theorems · Inductive type · group theory

AddZero

Type u_2 → Type u_2

Bundling an Add and Zero structure together without any axioms about their compatibility. See AddZeroClass for the additional assumption that 0 is an identity.

Defined in
Mathlib.Algebra.Group.Defs
Cited by
87 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AddMonoidHom · cited by 3230AddMonoidHomAddMonoidHom.comp · cited by 339AddMonoidHom.compAddMonoidHomClass · cited by 252AddMonoidHomClassAddMonoidHomClass.toAddMonoidHom · cited by 232AddMonoidHomClass.toAddMo…AddMonoidHom.ext · cited by 149AddMonoidHom.extAddMonoidHom.id · cited by 107AddMonoidHom.idAddMonoid.End · cited by 64AddMonoid.EndAddMonoidHom.toZeroHom · cited by 61AddMonoidHom.toZeroHomAddMonoidHom.map_add · cited by 48AddMonoidHom.map_addAddMonoidHom.map_zero · cited by 47AddMonoidHom.map_zeroFlow · cited by 46FlowFlow.toFun · cited by 34Flow.toFunAddMonoidHom.id_apply · cited by 29AddMonoidHom.id_applyFunLike.coeAddMonoidHom · cited by 19FunLike.coeAddMonoidHomIsDedekindFiniteAddMonoid · cited by 18IsDedekindFiniteAddMonoidAddZeroCITED BYCITES

Cites0

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

Nothing in Mathlib beyond the foundations.

Cited by138

Results whose statement or proof uses this declaration.