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Theorems · Theorem · commutative algebra

MvPowerSeries.rename_toMvPowerSeries

∀ {R : Type u_1} {σ : Type u_2} {τ : Type u_3} [inst : CommSemiring R] (f : σ → τ) [inst_1 : Filter.TendstoCofinite f]
  (a : σ) (p : PowerSeries R),
  (MvPowerSeries.rename f) ((PowerSeries.toMvPowerSeries a) p) = (PowerSeries.toMvPowerSeries (f a)) p
Defined in
Mathlib.RingTheory.MvPowerSeries.Equiv
Cited by
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Foundations
Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringFilter.TendstoCofinite
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DFunLike.coe · cited by 62936DFunLike.coeCommSemiring · cited by 10911CommSemiringAlgHom · cited by 3236AlgHomPowerSeries · cited by 797PowerSeriesMvPowerSeries · cited by 659MvPowerSeriesDFunLike.congr_fun · cited by 288DFunLike.congr_funFilter.TendstoCofinite · cited by 28Filter.TendstoCofiniteMvPowerSeries.rename · cited by 26MvPowerSeries.renamePowerSeries.toMvPowerSeries · cited by 11PowerSeries.toMvPowerSeri…MvPowerSeries.rename_comp_toMvPowerSeries · cited by 1MvPowerSeries.rename_comp…MvPowerSeries.rename_toMvPowe…CITED BYCITES

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