Theorems · Theorem · commutative algebra
MvPowerSeries.support_expand_subset
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] (p : ℕ) (hp : p ≠ 0) (φ : MvPowerSeries σ R),
Function.support ((MvPowerSeries.expand p hp) φ) ⊆ (fun x => p • x) '' Function.support φ- 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.
Cites16
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
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Set.imagestatement · cited by 5,609
- Finsuppstatement and proof · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPowerSeriesstatement and proof · cited by 659
- Function.supportstatement and proof · cited by 610
- Finsupp.extproof · cited by 399
- Finsupp.mapRangeproof · cited by 91
- by_contraproof · cited by 60
- Function.mem_supportproof · cited by 54
Cited by1
Results whose statement or proof uses this declaration.
- MvPowerSeries.support_expandproof · cited by 2