Theorems · Theorem · commutative algebra
MvPowerSeries.mul_invOfUnit
∀ {σ : Type u_1} {R : Type u_2} [inst : Ring R] (φ : MvPowerSeries σ R) (u : Rˣ),
MvPowerSeries.constantCoeff φ = ↑u → φ * φ.invOfUnit u = 1- Defined in
- Mathlib.RingTheory.MvPowerSeries.Inverse
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 96 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.
Cites39
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Units.valstatement and proof · cited by 1,966
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Cited by4
Results whose statement or proof uses this declaration.
- MvPowerSeries.mul_inv_cancelproof · cited by 3
- MvPowerSeries.invOfUnit_mulproof · cited by 2
- PowerSeries.mul_invOfUnitproof · cited by 2
- MvPowerSeries.isUnit_iff_constantCoeffproof · cited by 1