Theorems · Theorem · commutative algebra
MvPowerSeries.isUnit_iff_constantCoeff
∀ {σ : Type u_1} {R : Type u_2} [inst : Ring R] {φ : MvPowerSeries σ R},
IsUnit φ ↔ IsUnit (MvPowerSeries.constantCoeff φ)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Inverse
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 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.
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
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- IsUnitstatement and proof · cited by 1,602
- MvPowerSeriesstatement and proof · cited by 659
- IsUnit.mapproof · cited by 104
- MvPowerSeries.constantCoeffstatement and proof · cited by 98
- MvPowerSeries.invOfUnitproof · cited by 7
- MvPowerSeries.mul_invOfUnitproof · cited by 4
- MvPowerSeries.invOfUnit_mulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.isUnit_iff_constantCoeffproof · cited by 3