Theorems · Definition · commutative algebra

Algebra.SubmersivePresentation.aevalDifferentialEquiv

{R : Type u} →
  {S : Type v} →
    {ι : Type w} →
      {σ : Type t} →
        [inst : CommRing R] →
          [inst_1 : CommRing S] →
            [inst_2 : Algebra R S] → [inst_3 : Finite σ] → Algebra.SubmersivePresentation R S ι σ → (σ → S) ≃ₗ[S] σ → S

If P is submersive, PreSubmersivePresentation.aevalDifferential is an isomorphism.

Defined in

Mathlib.RingTheory.Extension.Presentation.Submersive

Cited by

2 results in Mathlib

Foundations

Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraFinite