Theorems · Theorem · commutative algebra
PowerSeries.invUnitsSub_mul_sub
∀ {R : Type u_1} [inst : Ring R] (u : Rˣ), PowerSeries.invUnitsSub u * (PowerSeries.C ↑u - PowerSeries.X) = 1- Defined in
- Mathlib.RingTheory.PowerSeries.WellKnown
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- PowerSeriesstatement · cited by 797
- mul_subproof · cited by 201
- PowerSeries.Xstatement and proof · cited by 183
- sub_sub_cancelproof · cited by 105
- PowerSeries.Cstatement and proof · cited by 76
- PowerSeries.invUnitsSubstatement and proof · cited by 6
- PowerSeries.invUnitsSub_mul_Xproof · cited by 1
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