Theorems · Definition · commutative algebra

Algebra.SubmersivePresentation.reindex

{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 →
                  {ι' : Type u_1} →
                    {σ' : Type u_2} → [inst_4 : Finite σ'] → ι' ≃ ι → σ' ≃ σ → Algebra.SubmersivePresentation R S ι' σ'

Given a submersive presentation P and equivalences ι' ≃ ι and σ' ≃ σ, this is the induced submersive presentation with variables indexed by ι' and relations indexed by σ'

Defined in

Mathlib.RingTheory.Extension.Presentation.Submersive

Cited by

3 results in Mathlib

Foundations

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

Assumes

CommRingCommRingAlgebraFiniteFinite