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fix again
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Whysoserioushah committed Aug 15, 2024
1 parent 51b0c14 commit 54f0d1e
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15 changes: 0 additions & 15 deletions BrauerGroup/SkolemNoether.lean
Original file line number Diff line number Diff line change
@@ -1,11 +1,5 @@
import BrauerGroup.BrauerGroup
import BrauerGroup.«074E»

import Mathlib.RingTheory.TensorProduct.Basic
import Mathlib.Algebra.Opposites
import Mathlib.RingTheory.SimpleModule
import Mathlib.LinearAlgebra.TensorProduct.Opposite
import BrauerGroup.«074E»
import BrauerGroup.MatrixCenterEquiv
import BrauerGroup.Lemmas

Expand Down Expand Up @@ -218,15 +212,6 @@ instance tensor_is_simple (K A B M : Type u)
[IsSimpleOrder (RingCon B)][AddCommGroup M] [Module K M] [Module A M] [IsScalarTower K A M]
[IsSimpleModule A M] [csa_A : IsCentralSimple K A]: IsSimpleOrder
(RingCon (B ⊗[K] (Module.End A M))) := by
haveI : IsCentralSimple K (Module.End A M) := by
have := csa_A.2
obtain ⟨n, hn, D, inst1, inst2, ⟨wdb⟩⟩ := Wedderburn_Artin_algebra_version K A
have : NeZero n := ⟨hn⟩
obtain ⟨h⟩ := end_simple_mod_of_wedderburn' K A n D wdb M
haveI : IsCentralSimple K D := by
apply CSA_implies_CSA _ _ _ _ _ _ wdb inferInstance
omega
exact h.symm.isCentralSimple
haveI := csa_A.2
obtain ⟨n, hn, D, hD1, hD2, ⟨iso⟩⟩ := Wedderburn_Artin_algebra_version K A
have : NeZero n := { out := hn }
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