Theorems · Theorem · ring theory
AlgHom.antipode_id_cancel
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : CommSemiring A] [inst_2 : HopfAlgebra R A],
WithConv.toConv (HopfAlgebra.antipodeAlgHom R A) * WithConv.toConv (AlgHom.id R A) = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapproof · cited by 10,215
- AlgHomstatement · cited by 3,236
- AlgHom.toLinearMapproof · cited by 254
- AlgHom.idstatement and proof · cited by 196
- WithConvstatement and proof · cited by 138
- WithConv.ofConvproof · cited by 97
- HopfAlgebrastatement and proof · cited by 59
- AlgHom.toLinearMap_injectiveproof · cited by 17
- WithConv.toConv_injectiveproof · cited by 6
- HopfAlgebra.antipodeAlgHomstatement and proof · cited by 5
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