Theorems · Definition · ring theory
GradedMonoid.GMul.mul
{ι : Type u_1} → {A : ι → Type u_2} → {inst : Add ι} → [self : GradedMonoid.GMul A] → {i j : ι} → A i → A j → A (i + j)The homogeneous multiplication map mul
- Defined in
- Mathlib.Algebra.GradedMonoid
- Cited by
- 45 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- GradedMonoid.GMul
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.
- GradedMonoid.GMulstatement and proof · cited by 7
Cited by61
Results whose statement or proof uses this declaration.
- DirectSum.of_mul_ofstatement · cited by 11
- List.dProdproof · cited by 10
- DirectSum.toSemiringstatement and proof · cited by 6
- TensorPower.tprod_mul_tprodstatement · cited by 5
- DirectSum.coe_mul_apply_eq_dfinsuppSumproof · cited by 4
- DirectSum.mul_eq_dfinsuppSumstatement and proof · cited by 3
- TensorPower.gMul_eq_coe_linearMapstatement · cited by 3
- DirectSum.coe_mul_applyproof · cited by 3
- DirectSum.toSemiring_ofstatement and proof · cited by 3
- DirectSum.gMulHomproof · cited by 3
- TensorPower.gMul_defstatement · cited by 2
- DirectSum.gMulHom_apply_applystatement · cited by 2