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Mathlib/RingTheory/HopfAlgebra Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -242,10 +242,8 @@ open Coalgebra WithConv LinearMap
242242/-- Upgrade a bialgebra to a Hopf algebra by specifying a convolution inverse of the identity. -/
243243noncomputable abbrev ofConvInverse [CommSemiring R] [Semiring A] [Bialgebra R A]
244244 (antipode : A →ₗ[R] A)
245- (mul_antipode_rTensor_comul :
246- toConv antipode * toConv LinearMap.id = (1 : WithConv (A →ₗ[R] A)))
247- (mul_antipode_lTensor_comul :
248- toConv LinearMap.id * toConv antipode = (1 : WithConv (A →ₗ[R] A))) :
245+ (mul_antipode_rTensor_comul : toConv antipode * toConv LinearMap.id = 1 )
246+ (mul_antipode_lTensor_comul : toConv LinearMap.id * toConv antipode = 1 ) :
249247 HopfAlgebra R A where
250248 antipode := antipode
251249 mul_antipode_rTensor_comul := by simpa using congr(($mul_antipode_rTensor_comul).ofConv)
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