Theorems · Theorem · commutative algebra
MvPowerSeries.order_toSubring
∀ {σ : Type u_1} {R : Type u_3} [inst : Ring R] (p : MvPowerSeries σ R) (T : Subring R)
(hp : ∀ (n : σ →₀ ℕ), (MvPowerSeries.coeff n) p ∈ T), (p.toSubring T hp).order = p.order- Defined in
- Mathlib.RingTheory.MvPowerSeries.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites17
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- MvPowerSeriesstatement and proof · cited by 659
- Subringstatement and proof · cited by 602
- MvPowerSeries.coeffstatement and proof · cited by 273
- Finsupp.degreeproof · cited by 94
- MvPowerSeries.orderstatement and proof · cited by 45
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