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Theorems · Definition · ring theory

Bialgebra.unitBialgHom

(R : Type u_1) →
  (A : Type u_2) → [inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Bialgebra R A] → R →ₐc[R] A

The unit of a bialgebra as a BialgHom.

Defined in
Mathlib.RingTheory.Bialgebra.Hom
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringSemiringBialgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

BialgHom.convOne_def · cited by 0BialgHom.convOne_defSemiring · cited by 13802SemiringCommSemiring · cited by 10911CommSemiringBialgHom · cited by 190BialgHomAlgebra.ofId · cited by 166Algebra.ofIdBialgebra · cited by 160BialgebraBialgHom.ofAlgHom · cited by 9BialgHom.ofAlgHomBialgebra.unitBialgHomCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.