Theorems · Theorem · commutative algebra
MvPowerSeries.order_expand
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] (p : ℕ) (hp : p ≠ 0) (φ : MvPowerSeries σ R),
((MvPowerSeries.expand p hp) φ).order = p • φ.order- Defined in
- Mathlib.RingTheory.MvPowerSeries.Expand
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Top.topproof · cited by 9,680
- Finsuppproof · cited by 5,255
- ENatstatement and proof · cited by 4,985
- AlgHomstatement · cited by 3,236
- Nat.cast_zeroproof · cited by 1,870
- map_zeroproof · cited by 1,614
- MvPowerSeriesstatement and proof · cited by 659
- Finsupp.extproof · cited by 399
- nsmul_eq_mulproof · cited by 369
- Nat.cast_mulproof · cited by 309
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.order_expandproof · cited by 0