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Theorems · Theorem · ring theory

AlgHom.counitAlgHom_comp_antipodeAlgHom

∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : CommSemiring A] [inst_2 : HopfAlgebra R A],
  (Bialgebra.counitAlgHom R A).comp (HopfAlgebra.antipodeAlgHom R A) = Bialgebra.counitAlgHom R A
Defined in
Mathlib.RingTheory.HopfAlgebra.Convolution
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Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringCommSemiringHopfAlgebra
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CommSemiring · cited by 10911CommSemiringAlgHom · cited by 3236AlgHomAlgHom.comp · cited by 501AlgHom.compCoalgebraStruct.counit · cited by 108CoalgebraStruct.counitHopfAlgebra · cited by 59HopfAlgebraBialgebra.counitAlgHom · cited by 23Bialgebra.counitAlgHomAlgHom.toLinearMap_injective · cited by 17AlgHom.toLinearMap_inject…HopfAlgebra.antipodeAlgHom · cited by 5HopfAlgebra.antipodeAlgHomHopfAlgebra.counit_comp_antipode · cited by 1HopfAlgebra.counit_comp_a…AlgHom.counitAlgHom_comp_anti…CITED BYCITES

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