Theorems · Definition · ring theory
BialgHom.toMonoidHom
{R : Type u_1} →
{A : Type u_2} →
{B : Type u_3} →
[inst : CommSemiring R] →
[inst_1 : Semiring A] →
[inst_2 : Algebra R A] →
[inst_3 : Semiring B] →
[inst_4 : Algebra R B] →
[inst_5 : CoalgebraStruct R A] → [inst_6 : CoalgebraStruct R B] → (A →ₐc[R] B) → A →* BReinterpret a BialgHom as a MonoidHom
- Defined in
- Mathlib.RingTheory.Bialgebra.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
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Cites12
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
- MonoidHomstatement · cited by 3,629
- CoalgebraStructstatement and proof · cited by 230
- BialgHomstatement and proof · cited by 190
- AddHom.toFunproof · cited by 168
- LinearMap.toAddHomproof · cited by 165
- CoalgHom.toLinearMapproof · cited by 36
- BialgHom.toCoalgHomproof · cited by 7
- BialgHom.map_mul'proof · cited by 0
- BialgHom.map_one'proof · cited by 0
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