Theorems · Theorem · commutative algebra
PowerSeries.trunc_trunc_mul
∀ {R : Type u_2} [inst : CommSemiring R] {n : ℕ} (f g : PowerSeries R),
(PowerSeries.trunc n) (↑((PowerSeries.trunc n) f) * g) = (PowerSeries.trunc n) (f * g)- Defined in
- Mathlib.RingTheory.PowerSeries.Trunc
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 104 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- lt_of_le_of_ltproof · cited by 432
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- Finset.HasAntidiagonal.antidiagonalproof · cited by 218
Cited by4
Results whose statement or proof uses this declaration.
- PowerSeries.trunc_trunc_mul_truncproof · cited by 2
- PowerSeries.eq_of_le_of_X_notMem_of_fg_of_isPrimeproof · cited by 1
- PowerSeries.trunc_mul_truncproof · cited by 1
- PowerSeries.trunc_trunc_powproof · cited by 0