Theorems · Definition · commutative algebra

Algebra.IsStandardSmoothOfRelativeDimension.casesOn

{n : ℕ} →
  {R : Type u} →
    {S : Type v} →
      [inst : CommRing R] →
        [inst_1 : CommRing S] →
          [inst_2 : Algebra R S] →
            {motive : Algebra.IsStandardSmoothOfRelativeDimension n R S → Sort u_1} →
              (t : Algebra.IsStandardSmoothOfRelativeDimension n R S) →
                ((out : ∃ ι σ, ∃ (x : Finite σ) (_ : Finite ι), ∃ P, P.dimension = n) → motive ⋯) → motive t

Defined in

Mathlib.RingTheory.Smooth.StandardSmooth

Cited by

3 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra