Theorems · Inductive type · ring theory
GradedMonoid.GMonoid
{ι : Type u_1} → (ι → Type u_2) → [AddMonoid ι] → Type (max u_1 u_2)A graded version of Monoid
Like Monoid.npow, this has an optional GMonoid.gnpow field to allow definitional control of
natural powers of a graded monoid.
- Defined in
- Mathlib.Algebra.GradedMonoid
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement · cited by 2,864
Cited by61
Results whose statement or proof uses this declaration.
- List.dProdstatement and proof · cited by 10
- GradedMonoid.GMonoid.gnpowstatement and proof · cited by 10
- DirectSum.Gmodulestatement · cited by 6
- DirectSum.GdistribMulActionstatement · cited by 2
- GradedMonoid.GMulActionstatement · cited by 2
- GradedMonoid.mk_list_dProdstatement and proof · cited by 2
- DirectSum.Gmodule.smulAddMonoidHomstatement and proof · cited by 2
- DirectSum.gsmulHomstatement and proof · cited by 2
- GradedMonoid.list_prod_map_eq_dProdstatement and proof · cited by 1
- DirectSum.Gmodule.smulAddMonoidHom_apply_of_ofstatement and proof · cited by 1
- DirectSum.gsmulHom_apply_applystatement and proof · cited by 1
- GradedMonoid.GMonoid.gnpow_succ'statement and proof · cited by 1