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Theorems · Theorem · commutative algebra

PowerSeries.WithPiTopology.tprod_one_sub_X_pow_ne_zero

∀ (R : Type u_2) [inst : CommRing R] [inst_1 : TopologicalSpace R] [T2Space R] [Nontrivial R],
  ∏' (i : ℕ), (1 - PowerSeries.X ^ (i + 1)) ≠ 0
Defined in
Mathlib.RingTheory.PowerSeries.PiTopology
Cited by
1 results in Mathlib
Foundations
Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingTopologicalSpaceT2SpaceNontrivial
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Around this declaration

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

Nat.Partition.powerSeriesMk_card_restricted_eq_powerSeriesMk_card_countRestricted · cited by 1Partition.powerSeriesMk_c…TopologicalSpace · cited by 24529TopologicalSpaceCommRing · cited by 17173CommRingNontrivial · cited by 2416NontrivialSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…T2Space · cited by 1351T2Spacesub_zero · cited by 938sub_zeroPowerSeries · cited by 797PowerSeriesmap_sub · cited by 565map_submap_pow · cited by 503map_powzero_pow · cited by 361zero_powtprod · cited by 230tprodPowerSeries.X · cited by 183PowerSeries.XPowerSeries.constantCoeff · cited by 126PowerSeries.constantCoeffPowerSeries.coeff_zero_eq_constantCoeff · cited by 41PowerSeries.coeff_zero_eq…PowerSeries.constantCoeff_X · cited by 16PowerSeries.constantCoeff…WithPiTopology.tprod_one_sub_…CITED BYCITES

Cites20

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Cited by1

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