Theorems · Definition · commutative algebra
PowerSeries.invUnitsSub
{R : Type u_1} → [inst : Ring R] → Rˣ → PowerSeries RThe power series for 1 / (u - x).
- Defined in
- Mathlib.RingTheory.PowerSeries.WellKnown
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Unitsstatement and proof · cited by 2,804
- PowerSeriesstatement · cited by 797
- PowerSeries.mkproof · cited by 52
- divpproof · cited by 34
Cited by6
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_invUnitsSubstatement · cited by 3
- PowerSeries.invUnitsSub_mul_Xstatement and proof · cited by 1
- PowerSeries.constantCoeff_invUnitsSubstatement and proof · cited by 1
- PowerSeries.map_invUnitsSubstatement · cited by 0
- PowerSeries.invOneSubPow_val_one_eq_invUnitSub_onestatement · cited by 0
- PowerSeries.invUnitsSub_mul_substatement and proof · cited by 0