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Theorems · Theorem · ring theory

IsAzumaya.bij

∀ {R : Type u_1} {A : Type u_2} {inst : CommSemiring R} {inst_1 : Semiring A} {inst_2 : Algebra R A}
  [self : IsAzumaya R A], Function.Bijective ⇑(AlgHom.mulLeftRight R A)
Defined in
Mathlib.Algebra.Azumaya.Defs
Cited by
1 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Quot.sound
Assumes
IsAzumaya
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsAzumaya.AlgHom.mulLeftRight_bij · cited by 0AlgHom.mulLeftRight_bijDFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringAlgHom · cited by 3236AlgHomTensorProduct · cited by 2545TensorProductMulOpposite · cited by 1135MulOppositeFunction.Bijective · cited by 863Function.BijectiveModule.End · cited by 774Module.EndAlgHom.mulLeftRight · cited by 8AlgHom.mulLeftRightIsAzumaya · cited by 4IsAzumayaIsAzumaya.bijCITED BYCITES

Cites11

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Cited by1

Results whose statement or proof uses this declaration.