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Theorems · Theorem · ring theory

Coalgebra.IsCocomm.comm_comp_comul

∀ {R : Type u} {A : Type v} {inst : CommSemiring R} {inst_1 : AddCommMonoid A} {inst_2 : Module R A}
  {inst_3 : Coalgebra R A} [self : Coalgebra.IsCocomm R A],
  ↑(TensorProduct.comm R A A) ∘ₗ CoalgebraStruct.comul = CoalgebraStruct.comul
Defined in
Mathlib.RingTheory.Coalgebra.Basic
Cited by
1 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Quot.sound
Assumes
Coalgebra.IsCocomm
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Coalgebra.comm_comp_comul · cited by 2Coalgebra.comm_comp_comulModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapTensorProduct · cited by 2545TensorProductLinearMap.comp · cited by 1642LinearMap.compLinearEquiv.toLinearMap · cited by 1171LinearEquiv.toLinearMapCoalgebraStruct.comul · cited by 118CoalgebraStruct.comulCoalgebra · cited by 112CoalgebraTensorProduct.comm · cited by 108TensorProduct.commCoalgebra.IsCocomm · cited by 11Coalgebra.IsCocommIsCocomm.comm_comp_comulCITED BYCITES

Cites12

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Cited by1

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