Theorems · Inductive type · ring theory
GradedMonoid.GMul
{ι : Type u_1} → (ι → Type u_2) → [Add ι] → Type (max u_1 u_2)A graded version of Mul. Multiplication combines grades additively, like
AddMonoidAlgebra.
- Defined in
- Mathlib.Algebra.GradedMonoid
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 by25
Results whose statement or proof uses this declaration.
- GradedMonoid.GMul.mulstatement and proof · cited by 45
- GradedMonoid.GMonoid.gnpowRecstatement and proof · cited by 2
- GradedMonoid.mk_mul_mkstatement and proof · cited by 1
- GradedMonoid.mk_zero_smulstatement and proof · cited by 1
- GradedMonoid.GradeZero.smul_eq_mulstatement and proof · cited by 0
- DirectSum.GNonUnitalNonAssocSemiring.casesOnstatement and proof · cited by 0
- DirectSum.GNonUnitalNonAssocSemiring.noConfusionproof · cited by 0
- DirectSum.GNonUnitalNonAssocSemiring.noConfusionTypeproof · cited by 0
- DirectSum.GNonUnitalNonAssocSemiring.recOnstatement and proof · cited by 0
- GradedMonoid.fst_mulstatement and proof · cited by 0
- GradedMonoid.GMonoid.casesOnstatement and proof · cited by 0
- GradedMonoid.GMonoid.gnpowRec_succstatement and proof · cited by 0