Theorems · Theorem · commutative algebra
PowerSeries.HasSubst.eventually_coeff_pow_eq_zero
∀ {A : Type u_1} [inst : CommRing A] {f : PowerSeries A},
PowerSeries.HasSubst f → ∀ (n : ℕ), ∀ᶠ (m : ℕ) in Filter.atTop, ∀ n' ≤ n, (PowerSeries.coeff n') (f ^ m) = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Filter.Eventuallystatement · cited by 3,134
- Filter.atTopstatement · cited by 2,405
- le_reflproof · cited by 2,061
- le_rflproof · cited by 1,558
- Set.Iciproof · cited by 1,070
- PowerSeriesstatement and proof · cited by 797
- add_le_addproof · cited by 666
- map_powproof · cited by 503
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.derivative_substproof · cited by 0