Theorems · Theorem · commutative algebra
MvPowerSeries.coeff_rename_eq_zero
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} (f : σ → τ) [inst : Filter.TendstoCofinite f] [inst_1 : CommSemiring R]
(p : MvPowerSeries σ R) {x : τ →₀ ℕ},
x ∉ Set.range (Finsupp.mapDomain f) → (MvPowerSeries.coeff x) ((MvPowerSeries.rename f) p) = 0- Defined in
- Mathlib.RingTheory.MvPowerSeries.Rename
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- Finset.sumproof · cited by 5,195
- Set.rangestatement and proof · cited by 4,705
- AlgHomstatement · cited by 3,236
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.coeffstatement and proof · cited by 273
- Finsupp.mapDomainstatement and proof · cited by 168
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