Theorems · Inductive type · ring theory
SetLike.GradedMonoid
{ι : Type u_1} → {R : Type u_2} → {S : Type u_3} → [SetLike S R] → [Monoid R] → [AddMonoid ι] → (ι → S) → PropA version of GradedMonoid.GMonoid for internally graded objects.
- Defined in
- Mathlib.Algebra.GradedMonoid
- Cited by
- 48 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by69
Results whose statement or proof uses this declaration.
- SetLike.pow_mem_gradedstatement and proof · cited by 16
- DirectSum.coe_mul_apply_eq_dfinsuppSumstatement and proof · cited by 4
- SetLike.homogeneousSubmonoidstatement and proof · cited by 4
- SetLike.prod_pow_mem_gradedstatement and proof · cited by 4
- DirectSum.coe_mul_applystatement and proof · cited by 3
- DirectSum.coe_mul_of_apply_auxstatement and proof · cited by 3
- DirectSum.coe_of_mul_apply_auxstatement and proof · cited by 3
- listProd_apply_eq_zero'statement and proof · cited by 2
- mul_apply_eq_zerostatement and proof · cited by 2
- DirectSum.coeAlgHomstatement and proof · cited by 2
- DirectSum.coe_mul_of_apply_of_lestatement and proof · cited by 2
- DirectSum.coe_mul_of_apply_of_not_lestatement and proof · cited by 2