Theorems · Theorem · ring theory
GradedMonoid.GMonoid.gnpowRec_zero
∀ {ι : Type u_1} {A : ι → Type u_2} [inst : AddMonoid ι] [inst_1 : GradedMonoid.GMul A] [inst_2 : GradedMonoid.GOne A]
(a : GradedMonoid A), GradedMonoid.mk (0 • a.fst) (GradedMonoid.GMonoid.gnpowRec 0 a.snd) = 1- Defined in
- Mathlib.Algebra.GradedMonoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- zero_nsmulproof · cited by 137
- GradedMonoidstatement and proof · cited by 46
- GradedMonoid.mkstatement · cited by 27
- GradedMonoid.GOnestatement and proof · cited by 8
- GradedMonoid.GMulstatement and proof · cited by 7
- GradedMonoid.GMonoid.gnpowRecstatement · cited by 2
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