Mathlib Map

Theorems · Inductive type · group theory

AddSubmonoid.LocalizationMap

{M : Type u_1} → [inst : AddCommMonoid M] → AddSubmonoid M → (N : Type u_2) → [AddCommMonoid N] → Type (max u_1 u_2)

The type of AddMonoid homomorphisms satisfying the characteristic predicate: if f : M →+ N satisfies this predicate, then N is isomorphic to the localization of M at S.

Defined in
Mathlib.GroupTheory.MonoidLocalization.Basic
Cited by
119 results in Mathlib
Foundations
Depth 6 from the axioms, rests on 27 definitions · uses no axioms
Assumes
AddCommMonoidAddCommMonoid

Around this declaration

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

Cites2

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

Cited by141

Results whose statement or proof uses this declaration.