Theorems · Theorem · ring theory
IsAzumaya.of_AlgEquiv
∀ (R : Type u_1) (A : Type u_2) (B : Type u_3) [inst : CommSemiring R] [inst_1 : Ring A] [inst_2 : Ring B] [inst_3 : Algebra R A] [inst_4 : Algebra R B] (e : A ≃ₐ[R] B) [IsAzumaya R A], IsAzumaya R B
- Defined in
- Mathlib.Algebra.Azumaya.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Ringstatement and proof · cited by 7,463
- AlgHomproof · cited by 3,236
- TensorProductproof · cited by 2,545
- AlgEquivstatement and proof · cited by 1,681
- MulOppositeproof · cited by 1,135
- Module.Finiteproof · cited by 1,032
- Function.Bijectiveproof · cited by 863
- Module.Endproof · cited by 774
- FaithfulSMulproof · cited by 340
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