Theorems · Theorem · ring theory
GradedMonoid.mk_zero_smul
∀ {ι : Type u_1} {A : ι → Type u_2} [inst : AddZeroClass ι] [inst_1 : GradedMonoid.GMul A] {i : ι} (a : A 0) (b : A i),
GradedMonoid.mk i (a • b) = GradedMonoid.mk 0 a * GradedMonoid.mk i b- Defined in
- Mathlib.Algebra.GradedMonoid
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_addproof · cited by 2,366
- AddZeroClassstatement and proof · cited by 1,237
- GradedMonoidstatement · cited by 46
- GradedMonoid.GMul.mulproof · cited by 45
- GradedMonoid.mkstatement and proof · cited by 27
- GradedMonoid.GMulstatement and proof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- DirectSum.of_zero_smulproof · cited by 1