Theorems · Theorem · ring theory
BialgEquiv.toBialgHom_injective
∀ {R : Type u} {A : Type v} {B : Type w} [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 BialgEquiv.toBialgHom- Defined in
- Mathlib.RingTheory.Bialgebra.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 · cited by 190
- Equiv.extproof · cited by 102
- BialgEquivstatement and proof · cited by 88
- BialgEquiv.toBialgHomstatement and proof · cited by 3
- BialgEquiv.toEquiv_injectiveproof · cited by 2
- BialgHom.congr_funproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- BialgEquiv.toBialgHom_injproof · cited by 0