Theorems · Theorem · commutative algebra
PowerSeries.trunc_trunc_pow
∀ {R : Type u_2} [inst : CommSemiring R] (f : PowerSeries R) (n a : ℕ),
(PowerSeries.trunc n) (↑((PowerSeries.trunc n) f) ^ a) = (PowerSeries.trunc n) (f ^ a)- Defined in
- Mathlib.RingTheory.PowerSeries.Trunc
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- pow_zeroproof · cited by 1,094
- PowerSeriesstatement and proof · cited by 797
- pow_succ'proof · cited by 228
- Polynomial.toPowerSeriesstatement and proof · cited by 96
- PowerSeries.truncstatement and proof · cited by 41
- PowerSeries.trunc_trunc_mulproof · cited by 4
- PowerSeries.trunc_trunc_mul_truncproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.