Theorems · Theorem · commutative algebra

Ring.DirectLimit.lift_comp_of

∀ {ι : Type u_1} [inst : Preorder ι] {G : ι → Type u_2} [inst_1 : (i : ι) → CommRing (G i)]
  {f : (i j : ι) → i ≤ j → G i → G j} (P : Type u_3) [inst_2 : CommRing P] (F : Ring.DirectLimit G f →+* P),
  Ring.DirectLimit.lift G f P (fun i => F.comp (Ring.DirectLimit.of G f i)) ⋯ = F

Defined in

Mathlib.Algebra.Colimit.Ring

Cited by

0 results in Mathlib

Foundations

Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderCommRingCommRing