Theorems · Definition · commutative algebra

Algebra.FormallySmooth.casesOn

{R : Type u} →
  {A : Type v} →
    [inst : CommRing R] →
      [inst_1 : CommRing A] →
        [inst_2 : Algebra R A] →
          {motive : Algebra.FormallySmooth R A → Sort u_1} →
            (t : Algebra.FormallySmooth R A) →
              ((projective_kaehlerDifferential : Module.Projective A Ω[A⁄R]) →
                  (subsingleton_h1Cotangent : Subsingleton (Algebra.H1Cotangent R A)) → motive ⋯) →
                motive t

Defined in

Mathlib.RingTheory.Smooth.Basic

Cited by

1 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra