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Theorems · Definition · ring theory

GradedMonoid.GMonoid.gnpowRec

{ι : Type u_1} →
  {A : ι → Type u_2} →
    [inst : AddMonoid ι] → [GradedMonoid.GMul A] → [GradedMonoid.GOne A] → (n : ℕ) → {i : ι} → A i → A (n • i)

A default implementation of power on a graded monoid, like npowRec. GMonoid.gnpow should be used instead.

Defined in
Mathlib.Algebra.GradedMonoid
Cited by
2 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
AddMonoidGradedMonoid.GMulGradedMonoid.GOne
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

GradedMonoid.GMonoid.gnpowRec_succ · cited by 0GMonoid.gnpowRec_succGradedMonoid.GMonoid.gnpowRec_zero · cited by 0GMonoid.gnpowRec_zeroAddMonoid · cited by 2864AddMonoidGradedMonoid.GOne · cited by 8GradedMonoid.GOneGradedMonoid.GMul · cited by 7GradedMonoid.GMulGMonoid.gnpowRecCITED BYCITES

Cites3

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Cited by2

Results whose statement or proof uses this declaration.