Theorems · Inductive type · ring theory
CoalgebraStruct
(R : Type u) → (A : Type v) → [inst : CommSemiring R] → [inst_1 : AddCommMonoid A] → [Module R A] → Type (max u v)
Data fields for Coalgebra, to allow API to be constructed before proving Coalgebra.coassoc.
See Coalgebra for documentation.
- Defined in
- Mathlib.RingTheory.Coalgebra.Basic
- Cited by
- 230 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 6 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement · cited by 20,661
- AddCommMonoidstatement · cited by 12,281
- CommSemiringstatement · cited by 10,911
Cited by340
Results whose statement or proof uses this declaration.
- BialgHomstatement · cited by 190
- CoalgebraStruct.comulstatement and proof · cited by 118
- CoalgebraStruct.counitstatement and proof · cited by 108
- CoalgHomstatement · cited by 105
- BialgEquivstatement · cited by 88
- CoalgEquivstatement · cited by 77
- BialgHom.toAlgHomstatement and proof · cited by 38
- CoalgHom.toLinearMapstatement and proof · cited by 36
- BialgHom.compstatement and proof · cited by 26
- CoalgEquiv.symmstatement and proof · cited by 26
- Coalgebra.Reprstatement · cited by 25
- CoalgHomClass.toCoalgHomstatement and proof · cited by 23
Showing the 200 most cited of 340.