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Update Mathlib/RingTheory/HopfAlgebra/Basic.lean
Co-authored-by: Monica Omar <23701951+themathqueen@users.noreply.github.com>
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Mathlib/RingTheory/HopfAlgebra/Basic.lean

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@@ -242,10 +242,8 @@ open Coalgebra WithConv LinearMap
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/-- Upgrade a bialgebra to a Hopf algebra by specifying a convolution inverse of the identity. -/
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noncomputable abbrev ofConvInverse [CommSemiring R] [Semiring A] [Bialgebra R A]
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(antipode : A →ₗ[R] A)
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(mul_antipode_rTensor_comul :
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toConv antipode * toConv LinearMap.id = (1 : WithConv (A →ₗ[R] A)))
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(mul_antipode_lTensor_comul :
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toConv LinearMap.id * toConv antipode = (1 : WithConv (A →ₗ[R] A))) :
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(mul_antipode_rTensor_comul : toConv antipode * toConv LinearMap.id = 1)
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(mul_antipode_lTensor_comul : toConv LinearMap.id * toConv antipode = 1) :
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HopfAlgebra R A where
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antipode := antipode
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mul_antipode_rTensor_comul := by simpa using congr(($mul_antipode_rTensor_comul).ofConv)

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