Theorems · Theorem · commutative algebra

PowerSeries.trunc_trunc_of_le

∀ {R : Type u_2} [inst : CommSemiring R] {n m : ℕ} (f : PowerSeries R),
  autoParam (n ≤ m) PowerSeries.trunc_trunc_of_le._auto_1 →
    (PowerSeries.trunc n) ↑((PowerSeries.trunc m) f) = (PowerSeries.trunc n) f

Defined in: Mathlib.RingTheory.PowerSeries.Trunc
Cited by: 2 results in Mathlib
Foundations: Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring

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Cites14

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 · cited by 5,681
Polynomial.coeffproof · cited by 1,045
PowerSeriesstatement and proof · cited by 797
lt_of_lt_of_leproof · cited by 438
PowerSeries.coeffproof · cited by 324
Polynomial.extproof · cited by 118
Polynomial.toPowerSeriesstatement and proof · cited by 96
PowerSeries.truncstatement and proof · cited by 41

Cited by2

Results whose statement or proof uses this declaration.

PowerSeries.coeff_mul_eq_coeff_trunc_mul_trunc₂proof · cited by 1
PowerSeries.trunc_truncproof · cited by 0