Theorems · Theorem · ring theory
BialgHom.id_comp
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B] [inst_5 : CoalgebraStruct R A] [inst_6 : CoalgebraStruct R B]
(φ : A →ₐc[R] B), (BialgHom.id R B).comp φ = φ- Defined in
- Mathlib.RingTheory.Bialgebra.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- CoalgebraStructstatement and proof · cited by 230
- BialgHomstatement and proof · cited by 190
- BialgHom.compstatement · cited by 26
- BialgHom.idstatement · cited by 22
- BialgHom.extproof · cited by 9
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