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remove bad simps
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Mathlib/RingTheory/Etale/Finite.lean

Lines changed: 4 additions & 4 deletions
Original file line numberDiff line numberDiff line change
@@ -107,7 +107,7 @@ def FiniteEtale.baseChange : FiniteEtale.{v} R ⥤ FiniteEtale.{max w v} S where
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map {A B} f := FiniteEtale.ofHom (Algebra.TensorProduct.map (.id _ _) f.hom.hom)
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/-- Base change from `R` to `R` is isomorphic to the identity. -/
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@[expose, simps!]
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@[expose]
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def FiniteEtale.baseChangeSelfIso : baseChange R R ≅ 𝟭 (FiniteEtale R) :=
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NatIso.ofComponents (fun A ↦ isoMk (Algebra.TensorProduct.lid _ _)) <| fun {A B} f ↦ by
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dsimp [baseChange]
@@ -131,7 +131,7 @@ def FiniteEtale.finiteSpec (k : Type u) [Field k] : (FiniteEtale.{v} k)ᵒᵖ
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/-- If the geometric point `Ω` factors through `S`, the fiber can be computed after base change
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to `S`. -/
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@[expose, simps!]
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@[expose]
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def FiniteEtale.fiberIsoBaseChangeFiber :
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FiniteEtale.fiber.{v} R Ω ≅
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(FiniteEtale.baseChange.{v} R S).op ⋙ FiniteEtale.fiber S Ω :=
@@ -140,7 +140,7 @@ def FiniteEtale.fiberIsoBaseChangeFiber :
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/-- If `Ω` is separably closed, the fiber functor for finite étale `Ω`-algebras
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is naturally isomorphic to the (finite) `Spec` functor. -/
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@[expose, simps!]
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@[expose]
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noncomputable
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def FiniteEtale.fiberIsoFiniteSpec [IsSepClosed Ω] :
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FiniteEtale.fiber Ω Ω ≅ FiniteEtale.finiteSpec Ω :=
@@ -149,7 +149,7 @@ def FiniteEtale.fiberIsoFiniteSpec [IsSepClosed Ω] :
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/-- If `Ω` is separably closed, the fiber `S →ₐ[R] Ω`
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is isomorphic to the prime spectrum of the base change `Ω ⊗[R] S`. -/
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@[expose, simps!]
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@[expose]
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noncomputable
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def FiniteEtale.fiberIsoComp [IsSepClosed Ω] :
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FiniteEtale.fiber.{v} R Ω ≅

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