Theorems · Theorem · commutative algebra

Algebra.FormallySmooth.comp_surjective

∀ (R : Type u) (A : Type v) [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A] {B : Type u_1}
  [inst_3 : CommRing B] [inst_4 : Algebra R B] [Algebra.FormallySmooth R A] (I : Ideal B),
  I ^ 2 = ⊥ → Function.Surjective (Ideal.Quotient.mkₐ R I).comp

Defined in

Mathlib.RingTheory.Smooth.Basic

Cited by

6 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebraAlgebra.FormallySmooth