Theorems · Theorem · commutative algebra

MvPowerSeries.toAdicCompletion_apply_eq_mk_truncTotal

∀ {σ : Type u_1} {R : Type u_2} [inst : CommRing R] [inst_1 : Finite σ] {n : ℕ} {p : MvPowerSeries σ R},
  ↑((MvPowerSeries.toAdicCompletion σ R) p) n =
    (Ideal.Quotient.mk (MvPolynomial.idealOfVars σ R ^ n • ⊤)) ((MvPowerSeries.truncTotal n) p)

Defined in: Mathlib.RingTheory.MvPowerSeries.Equiv
Cited by: 1 results in Mathlib
Foundations: Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Finite

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HasQuotient.Quotientstatement · cited by 2,301

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MvPowerSeries.coeff_toAdicCompletion_val_apply_outproof · cited by 0