Theorems · Definition · ring theory
GradedMonoid.GOne.one
{ι : Type u_1} → {A : ι → Type u_2} → {inst : Zero ι} → [self : GradedMonoid.GOne A] → A 0The term one of grade 0
- Defined in
- Mathlib.Algebra.GradedMonoid
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- GradedMonoid.GOne
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.GOnestatement and proof · cited by 8
Cited by46
Results whose statement or proof uses this declaration.
- List.dProdproof · cited by 10
- DirectSum.toSemiringstatement and proof · cited by 6
- TensorPower.algebraMap₀_eq_smul_onestatement and proof · cited by 4
- DirectSum.toSemiring_ofstatement and proof · cited by 3
- SetLike.coe_gOnestatement · cited by 3
- TensorPower.gOne_defstatement · cited by 2
- DirectSum.liftRingHomstatement and proof · cited by 2
- TensorProduct.gradedComm_one_tmulproof · cited by 1
- TensorPower.algebraMap₀_mulproof · cited by 1
- DirectSum.ofList_dProdproof · cited by 1
- DirectSum.one_defstatement · cited by 1
- TensorPower.mul_onestatement and proof · cited by 1