Theorems · Theorem · ring theory
BialgHom.toLinearMap_convPow
∀ {R : Type u_1} {A : Type u_2} {C : Type u_4} [inst : CommSemiring R] [inst_1 : CommSemiring A] [inst_2 : Semiring C]
[inst_3 : Bialgebra R A] [inst_4 : Bialgebra R C] [inst_5 : Coalgebra.IsCocomm R C] (f : WithConv (C →ₐc[R] A))
(n : ℕ), WithConv.toConv (f ^ n).ofConv.toLinearMap = WithConv.toConv f.ofConv.toLinearMap ^ n- Defined in
- Mathlib.RingTheory.Bialgebra.Convolution
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- BialgHomstatement and proof · cited by 190
- Bialgebrastatement and proof · cited by 160
- WithConvstatement and proof · cited by 138
- WithConv.ofConvstatement · cited by 97
- CoalgHom.toLinearMapstatement · cited by 36
- Coalgebra.IsCocommstatement and proof · cited by 11
- BialgHom.toCoalgHomstatement · cited by 7
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