Theorems · Theorem · ring theory
IsBrauerEquivalent.trans
∀ {K : Type u} [inst : Field K] {A : CSA K} {B : CSA K} {C : CSA K},
IsBrauerEquivalent A B → IsBrauerEquivalent B C → IsBrauerEquivalent A C- Defined in
- Mathlib.Algebra.BrauerGroup.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Matrixproof · cited by 4,303
- AlgEquivproof · cited by 1,681
- AlgEquiv.symmproof · cited by 615
- AlgEquiv.transproof · cited by 108
- AlgCat.carrierproof · cited by 61
- Equiv.prodCommproof · cited by 55
- Matrix.reindexAlgEquivproof · cited by 19
- AlgEquiv.mapMatrixproof · cited by 9
- CSAstatement and proof · cited by 7
- Matrix.compAlgEquivproof · cited by 5
- IsBrauerEquivalentstatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- IsBrauerEquivalent.is_eqvproof · cited by 0