Mathlib Map

Theorems · Definition · group theory

AddMonoidHom.mrangeRestrict

{M : Type u_1} →
  [inst : AddZeroClass M] → {N : Type u_5} → [inst_1 : AddZeroClass N] → (f : M →+ N) → M →+ ↥(AddMonoidHom.mrange f)

Restriction of an AddMonoidHom to its range interpreted as an AddSubmonoid.

Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
4 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddZeroClassAddZeroClass

Around this declaration

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

Cites5

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

Cited by6

Results whose statement or proof uses this declaration.