Theorems · Theorem · ring theory
CoalgEquiv.toLinearEquiv_toLinearMap
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid A]
[inst_2 : AddCommMonoid B] [inst_3 : Module R A] [inst_4 : Module R B] [inst_5 : CoalgebraStruct R A]
[inst_6 : CoalgebraStruct R B] (e : A ≃ₗc[R] B), ↑e.toLinearEquiv = ↑↑e- Defined in
- Mathlib.RingTheory.Coalgebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- LinearEquiv.toLinearMapstatement · cited by 1,171
- CoalgebraStructstatement and proof · cited by 230
- CoalgHomstatement · cited by 105
- SemilinearMapClass.semilinearMapstatement · cited by 80
- CoalgEquivstatement and proof · cited by 77
- CoalgHomClass.toCoalgHomstatement · cited by 23
- CoalgEquiv.toLinearEquivstatement · cited by 13
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.