Theorems · Theorem · ring theory
BialgHom.coe_toAlgHom_injective
∀ {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],
Function.Injective BialgHom.toAlgHom- Defined in
- Mathlib.RingTheory.Bialgebra.Hom
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- CoalgebraStructstatement and proof · cited by 230
- BialgHomstatement and proof · cited by 190
- BialgHom.toAlgHomstatement and proof · cited by 38
- BialgHom.coe_fn_injectiveproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- MonoidAlgebra.bialgHom_extproof · cited by 3
- AddMonoidAlgebra.bialgHom_extproof · cited by 3
- BialgEquiv.symm_compproof · cited by 0
- MonoidAlgebra.bialgHom_ext'proof · cited by 0
- AddMonoidAlgebra.bialgHom_ext'proof · cited by 0
- BialgEquiv.comp_symmproof · cited by 0
- BialgHom.coe_algHom_injectiveproof · cited by 0