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Theorems · Theorem · commutative algebra

MvPowerSeries.coeff_coeff_optionEquivLeft

∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] (p : MvPowerSeries (Option σ) R) (n : ℕ) (x : σ →₀ ℕ),
  (MvPowerSeries.coeff x) ((PowerSeries.coeff n) ((MvPowerSeries.optionEquivLeft σ R) p)) =
    (MvPowerSeries.coeff (Finsupp.optionElim n x)) p
Defined in
Mathlib.RingTheory.MvPowerSeries.Equiv
Cited by
1 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiring
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MvPowerSeries.coeff_coeff_finSuccEquiv · cited by 3MvPowerSeries.coeff_coeff…DFunLike.coe · cited by 62936DFunLike.coeRingHom.id · cited by 18349RingHom.idCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapFinsupp · cited by 5255FinsuppAlgEquiv · cited by 1681AlgEquivPowerSeries · cited by 797PowerSeriesMvPowerSeries · cited by 659MvPowerSeriesPowerSeries.coeff · cited by 324PowerSeries.coeffMvPowerSeries.coeff · cited by 273MvPowerSeries.coeffFinsupp.optionElim · cited by 16Finsupp.optionElimMvPowerSeries.optionEquivLeft · cited by 6MvPowerSeries.optionEquiv…MvPowerSeries.coeff_coeff_opt…CITED BYCITES

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