Theorems · Theorem · commutative algebra
PowerSeries.coeff_log
∀ {A : Type u_1} [inst : CommRing A] [inst_1 : Algebra ℚ A] (n : ℕ),
(PowerSeries.coeff n) (PowerSeries.log A) = if n = 0 then 0 else (algebraMap ℚ A) ((-1) ^ (n + 1) / ↑n)- Defined in
- Mathlib.RingTheory.PowerSeries.Log
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement and proof · cited by 4,706
- PowerSeriesstatement · cited by 797
- PowerSeries.coeffstatement · cited by 324
- PowerSeries.coeff_mkproof · cited by 47
- PowerSeries.logstatement · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- PowerSeries.constantCoeff_logproof · cited by 2
- PowerSeries.deriv_logproof · cited by 0
- PowerSeries.coeff_one_logproof · cited by 0
- PowerSeries.map_logproof · cited by 0
- PowerSeries.order_logproof · cited by 0