Theorems · Theorem · commutative algebra

AddCommGroup.DirectLimit.map_id

∀ {ι : Type u_2} [inst : Preorder ι] {G : ι → Type u_3} [inst_1 : (i : ι) → AddCommMonoid (G i)]
  {f : (i j : ι) → i ≤ j → G i →+ G j} [inst_2 : DecidableEq ι],
  AddCommGroup.DirectLimit.map (fun x => AddMonoidHom.id (G x)) ⋯ = AddMonoidHom.id (AddCommGroup.DirectLimit G f)

Defined in

Mathlib.Algebra.Colimit.Module

Cited by

0 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderAddCommMonoidDecidableEq