Theorems · Theorem · commutative algebra

PowerSeries.subst_substInv_right

∀ {R : Type u_2} [inst : CommRing R] (P : PowerSeries R),
  PowerSeries.constantCoeff P = 0 →
    ∀ [inst_1 : Invertible ((PowerSeries.coeff 1) P)], PowerSeries.subst P.substInv P = PowerSeries.X

Defined in: Mathlib.RingTheory.PowerSeries.Substitution
Cited by: 2 results in Mathlib
Foundations: Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Invertible

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Cites52

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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Cited by2

Results whose statement or proof uses this declaration.

PowerSeries.subst_substInv_leftproof · cited by 3
PowerSeries.subst_substInvOfIsUnit_rightproof · cited by 0