Theorems · Definition · ring theory
CoalgHom.id
(R : Type u_1) →
(A : Type u_2) →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid A] → [inst_2 : Module R A] → [inst_3 : CoalgebraStruct R A] → A →ₗc[R] AIdentity map as a CoalgHom.
- Defined in
- Mathlib.RingTheory.Coalgebra.Hom
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idproof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapproof · cited by 10,215
- LinearMap.idproof · cited by 625
- CoalgebraStructstatement and proof · cited by 230
- CoalgHomstatement · cited by 105
Cited by16
Results whose statement or proof uses this declaration.
- BialgHom.idproof · cited by 22
- CoalgEquiv.reflproof · cited by 7
- CoalgEquiv.ofCoalgHomstatement and proof · cited by 2
- CoalgHom.lTensorproof · cited by 1
- CoalgHom.rTensorproof · cited by 1
- BialgHom.id_toCoalgHomstatement · cited by 0
- CoalgEquiv.ofCoalgHom_symmstatement and proof · cited by 0
- CoalgHom.comp_idstatement · cited by 0
- CoalgEquiv.refl_toCoalgHomstatement · cited by 0
- CoalgHom.id_applystatement and proof · cited by 0
- CoalgHom.id_compstatement · cited by 0
- CoalgHom.id_toLinearMapstatement · cited by 0