Theorems · Definition · ring theory
Equiv.coalgebraStruct
(R : Type u_1) →
{A : Type u_2} →
{B : Type u_3} →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid B] → [inst_2 : Module R B] → [CoalgebraStruct R B] → (e : A ≃ B) → CoalgebraStruct R ATransfer CoalgebraStruct across an Equiv.
- Defined in
- Mathlib.RingTheory.Coalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement and proof · cited by 8,337
- LinearMap.compproof · cited by 1,642
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- TensorProduct.mapproof · cited by 250
- CoalgebraStructstatement and proof · cited by 230
- CoalgebraStruct.comulproof · cited by 118
- CoalgebraStruct.counitproof · cited by 108
- Equiv.linearEquivproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.coalgebraproof · cited by 1