Theorems · Theorem · commutative algebra
PowerSeries.trunc_mul_trunc
∀ {R : Type u_2} [inst : CommSemiring R] {n : ℕ} (f g : PowerSeries R),
(PowerSeries.trunc n) (f * ↑((PowerSeries.trunc n) g)) = (PowerSeries.trunc n) (f * g)- Defined in
- Mathlib.RingTheory.PowerSeries.Trunc
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 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.
Cites10
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
- mul_commproof · cited by 2,262
- PowerSeriesstatement and proof · cited by 797
- Polynomial.toPowerSeriesstatement and proof · cited by 96
- PowerSeries.truncstatement and proof · cited by 41
- PowerSeries.trunc_trunc_mulproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.trunc_trunc_mul_truncproof · cited by 2