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Theorems · Definition · ring theory

GradedMonoid

{ι : Type u_1} → (ι → Type u_2) → Type (max u_1 u_2)

A type alias of sigma types for graded monoids.

Defined in
Mathlib.Algebra.GradedMonoid
Cited by
46 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

GradedMonoid.mk · cited by 27GradedMonoid.mkDirectSum.of_eq_of_gradedMonoid_eq · cited by 8DirectSum.of_eq_of_graded…GradedMonoid.mk_list_dProd · cited by 2GradedMonoid.mk_list_dProdPiTensorProduct.gradedMonoid_eq_of_reindex_cast · cited by 2PiTensorProduct.gradedMon…TensorAlgebra.mk_reindex_cast · cited by 1TensorAlgebra.mk_reindex_…TensorAlgebra.toDirectSum_tensorPower_tprod · cited by 1TensorAlgebra.toDirectSum…ModularForm.gradedMonoid_eq_of_cast · cited by 1ModularForm.gradedMonoid_…TensorPower.gradedMonoid_eq_of_cast · cited by 1TensorPower.gradedMonoid_…TensorPower.list_prod_gradedMonoid_mk_single · cited by 1TensorPower.list_prod_gra…GradedMonoid.list_prod_map_eq_dProd · cited by 1GradedMonoid.list_prod_ma…GradedMonoid.mk_mul_mk · cited by 1GradedMonoid.mk_mul_mkGradedMonoid.mk_zero_smul · cited by 1GradedMonoid.mk_zero_smulGradedMonoid.GMonoid.gnpow_succ' · cited by 1GMonoid.gnpow_succ'GradedMonoid.GMonoid.gnpow_zero' · cited by 1GMonoid.gnpow_zero'TensorAlgebra.mk_reindex_fin_cast · cited by 0TensorAlgebra.mk_reindex_…GradedMonoidCITED BYCITES

Cites0

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Cited by83

Results whose statement or proof uses this declaration.