Theorems · Theorem · ring theory
GradedMonoid.mk_mul_mk
∀ {ι : Type u_1} (A : ι → Type u_2) [inst : Add ι] [inst_1 : GradedMonoid.GMul A] {i j : ι} (a : A i) (b : A j),
GradedMonoid.mk i a * GradedMonoid.mk j b = GradedMonoid.mk (i + j) (GradedMonoid.GMul.mul a b)- Defined in
- Mathlib.Algebra.GradedMonoid
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- AddGradedMonoid.GMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- GradedMonoidstatement · cited by 46
- GradedMonoid.GMul.mulstatement · cited by 45
- GradedMonoid.mkstatement · cited by 27
- GradedMonoid.GMulstatement and proof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- TensorPower.list_prod_gradedMonoid_mk_singleproof · cited by 1