Theorems · Definition · ring theory

IsAzumaya.casesOn

{R : Type u_1} →
  {A : Type u_2} →
    [inst : CommSemiring R] →
      [inst_1 : Semiring A] →
        [inst_2 : Algebra R A] →
          {motive : IsAzumaya R A → Sort u} →
            (t : IsAzumaya R A) →
              ([toProjective : Module.Projective R A] →
                  [toFaithfulSMul : FaithfulSMul R A] →
                    [toFinite : Module.Finite R A] → (bij : Function.Bijective ⇑(AlgHom.mulLeftRight R A)) → motive ⋯) →
                motive t

Defined in

Mathlib.Algebra.Azumaya.Defs

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebra