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Theorems · Theorem · commutative algebra

PowerSeries.exp_pow_eq_rescale_exp

∀ {A : Type u_4} [inst : CommRing A] [inst_1 : Algebra ℚ A] (k : ℕ),
  PowerSeries.exp A ^ k = (PowerSeries.rescale ↑k) (PowerSeries.exp A)

Shows that $(e^{X})^k = e^{kX}$.

Defined in
Mathlib.RingTheory.PowerSeries.Exp
Cited by
2 results in Mathlib
Foundations
Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingAlgebra

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