Theorems · Theorem · ring theory
Coalgebra.coassoc_symm
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A]
[inst_3 : Coalgebra R A],
↑(TensorProduct.assoc R A A A).symm ∘ₗ LinearMap.lTensor A CoalgebraStruct.comul ∘ₗ CoalgebraStruct.comul =
LinearMap.rTensor A CoalgebraStruct.comul ∘ₗ CoalgebraStruct.comul- Defined in
- Mathlib.RingTheory.Coalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites16
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
- TensorProductstatement · cited by 2,545
- LinearMap.compstatement · cited by 1,642
- LinearEquiv.symmstatement · cited by 1,461
- LinearEquiv.toLinearMapstatement · cited by 1,171
- LinearMap.extproof · cited by 844
- LinearMap.rTensorstatement · cited by 266
- LinearMap.lTensorstatement · cited by 203
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