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FLT/FLT_files.lean

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import FLT.AutomorphicForm.QuaternionAlgebra
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import FLT.AutomorphicRepresentation.Example
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import FLT.Basic.Reductions
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import FLT.EllipticCurve.Torsion
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import FLT.ForMathlib.ActionTopology
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import FLT.ForMathlib.FGModuleTopology
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import FLT.ForMathlib.MiscLemmas
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import FLT.GaloisRepresentation.Cyclotomic
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import FLT.GaloisRepresentation.HardlyRamified
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import FLT.GlobalLanglandsConjectures.GLnDefs
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import FLT.GlobalLanglandsConjectures.GLzero
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import FLT.GroupScheme.FiniteFlat
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import FLT.HIMExperiments.ContinuousSMul_topology
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import FLT.HIMExperiments.dual_topology
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import FLT.HIMExperiments.flatness
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import FLT.HIMExperiments.module_topology
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import FLT.HIMExperiments.right_module_topology
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import FLT.Hard.Results
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import FLT.MathlibExperiments.Coalgebra.Monoid
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import FLT.MathlibExperiments.Coalgebra.Sweedler
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import FLT.MathlibExperiments.Coalgebra.TensorProduct
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import FLT.MathlibExperiments.Frobenius
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import FLT.MathlibExperiments.Frobenius2
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import FLT.MathlibExperiments.FrobeniusRiou
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import FLT.MathlibExperiments.HopfAlgebra.Basic
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import FLT.MathlibExperiments.IsCentralSimple
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import FLT.MathlibExperiments.IsFrobenius
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import FLT.TateCurve.TateCurve
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import FLT.AutomorphicRepresentation.Example
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import FLT.mathlibExperiments.IsCentralSimple

FLT/ForMathlib/FGModuleTopology.lean

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import Mathlib.Algebra.Module.Projective
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import Mathlib.Data.Finite.Card
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import Mathlib.LinearAlgebra.TensorProduct.RightExactness
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import Mathlib.Topology.Algebra.Module.Basic
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import FLT.ForMathlib.MiscLemmas
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-/
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set_option lang.lemmaCmd true
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section basics
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variable (R : Type*) [TopologicalSpace R] [Semiring R]

FLT/HIMExperiments/ContinuousSMul_topology.lean

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-- See FLT.ForMathlib.ActionTopology for a parallel development.
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#exit
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section continuous_smul
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variable {R : Type} [τR : TopologicalSpace R]

FLT/HIMExperiments/dual_topology.lean

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-- See FLT.ForMathlib.ActionTopology for a parallel development.
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#exit
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section basics
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variable (R : Type*) [Monoid R] [TopologicalSpace R] [ContinuousMul R]

FLT/HIMExperiments/right_module_topology.lean

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-- See FLT.ForMathlib.ActionTopology for a parallel development.
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#exit
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section defs
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class IsActionTopology (R M : Type*) [SMul R M]

FLT/MathlibExperiments/Coalgebra/Monoid.lean

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import Mathlib.RingTheory.TensorProduct.Basic
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import FLT.mathlibExperiments.Coalgebra.Sweedler
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import FLT.MathlibExperiments.Coalgebra.Sweedler
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import Mathlib.RingTheory.HopfAlgebra
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/-!

FLT/MathlibExperiments/Coalgebra/TensorProduct.lean

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import Mathlib.RingTheory.TensorProduct.Basic
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import Mathlib.RingTheory.Bialgebra.Basic
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import FLT.mathlibExperiments.Coalgebra.Sweedler
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import FLT.MathlibExperiments.Coalgebra.Sweedler
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/-!
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FLT/MathlibExperiments/HopfAlgebra/Basic.lean

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import Mathlib.RingTheory.HopfAlgebra
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import FLT.mathlibExperiments.Coalgebra.Monoid
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import FLT.mathlibExperiments.Coalgebra.TensorProduct
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import FLT.MathlibExperiments.Coalgebra.Monoid
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import FLT.MathlibExperiments.Coalgebra.TensorProduct
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import Mathlib.Tactic.Group
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/-!
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- the antipodal map is anticommutative;
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- the antipodal map is unique linear map whose convolution inverse is the identity `𝟙 A`.
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(Note that, confusingly, the identity linear map `x ↦ x` is not actually the unit in the monoid
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structure of linear maps. See `mathlibExperiments/Coalgebra/Monoid.lean`)
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structure of linear maps. See `MathlibExperiments/Coalgebra/Monoid.lean`)
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if we further assume `A` is commutative then
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- the `R`-algebra homomorphisms from `A` to `L` has a group structure where multiplication is
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convolution, and inverse of `f `is `f ∘ antipode`

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