Theorems · Inductive type · ring theory
BialgEquivClass
(F : Type u_1) →
(R : outParam (Type u_2)) →
(A : outParam (Type u_3)) →
(B : outParam (Type u_4)) →
[inst : CommSemiring R] →
[inst_1 : Semiring A] →
[inst_2 : Semiring B] →
[inst_3 : Algebra R A] →
[inst_4 : Algebra R B] → [CoalgebraStruct R A] → [CoalgebraStruct R B] → [EquivLike F A B] → PropBialgEquivClass F R A B asserts F is a type of bundled bialgebra equivalences
from A to B.
- Defined in
- Mathlib.RingTheory.Bialgebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement · cited by 13,802
- Algebrastatement · cited by 11,388
- CommSemiringstatement · cited by 10,911
- CoalgebraStructstatement · cited by 230
- EquivLikestatement · cited by 165
Cited by3
Results whose statement or proof uses this declaration.
- BialgEquivClass.toBialgEquivstatement and proof · cited by 0
- BialgEquivClass.casesOnstatement and proof · cited by 0
- BialgEquivClass.recOnstatement and proof · cited by 0