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Theorems · Theorem · commutative algebra

PowerSeries.subst_substInv_left

∀ {R : Type u_2} [inst : CommRing R] (P : PowerSeries R),
  PowerSeries.constantCoeff P = 0 →
    ∀ [inst_1 : Invertible ((PowerSeries.coeff 1) P)], PowerSeries.subst P P.substInv = PowerSeries.X
Defined in
Mathlib.RingTheory.PowerSeries.Substitution
Cited by
3 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingInvertible
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Around this declaration

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FormalGroup.Xzero_eq_X · cited by 1FormalGroup.Xzero_eq_XFormalGroup.zeroX_eq_X · cited by 1FormalGroup.zeroX_eq_XPowerSeries.subst_substInvOfIsUnit_left · cited by 0PowerSeries.subst_substIn…DFunLike.coe · cited by 62936DFunLike.coeRingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraLinearMap · cited by 10215LinearMapRingHom · cited by 10189RingHomIsScalarTower · cited by 3896IsScalarTowerPowerSeries · cited by 797PowerSeriesMvPowerSeries · cited by 659MvPowerSeriesInvertible · cited by 549InvertiblePowerSeries.coeff · cited by 324PowerSeries.coeffPowerSeries.X · cited by 183PowerSeries.XPowerSeries.constantCoeff · cited by 126PowerSeries.constantCoeffPowerSeries.HasSubst · cited by 67PowerSeries.HasSubstPowerSeries.subst · cited by 58PowerSeries.substPowerSeries.subst_substInv_le…CITED BYCITES

Cites23

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Cited by3

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