Theorems · Theorem · commutative algebra
MvPowerSeries.HasSubst.coeff_zero
∀ {σ : Type u_1} {τ : Type u_4} {S : Type u_5} [inst : CommRing S] {a : σ → MvPowerSeries τ S},
MvPowerSeries.HasSubst a → ∀ (d : τ →₀ ℕ), {s | (MvPowerSeries.coeff d) (a s) ≠ 0}.Finite- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Set.ofPredstatement · cited by 6,101
- Finsuppstatement · cited by 5,255
- Set.Finitestatement · cited by 1,814
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.coeffstatement · cited by 273
- MvPowerSeries.HasSubststatement and proof · cited by 74
Cited by2
Results whose statement or proof uses this declaration.
- MvPowerSeries.HasSubst.truncTotalproof · cited by 3
- MvPowerSeries.HasSubst.mapproof · cited by 1