Theorems · Theorem · commutative algebra
MvPowerSeries.coeff_toAdicCompletion_val_apply_out
∀ {σ : Type u_1} {R : Type u_2} [inst : CommRing R] [inst_1 : Finite σ] {x : σ →₀ ℕ} {p : MvPowerSeries σ R} {n : ℕ},
Finsupp.degree x < n →
MvPolynomial.coeff x (Quotient.out (↑((MvPowerSeries.toAdicCompletion σ R) p) n)) = (MvPowerSeries.coeff x) p- Defined in
- Mathlib.RingTheory.MvPowerSeries.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
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