Theorems · Definition · commutative algebra
PowerSeries.rescale
{R : Type u_1} → [inst : CommSemiring R] → R → PowerSeries R →+* PowerSeries RThe ring homomorphism taking a power series f(X) to f(aX).
- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 100 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- PowerSeriesstatement and proof · cited by 797
- PowerSeries.coeffproof · cited by 324
- PowerSeries.mkproof · cited by 52
Cited by24
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_rescalestatement · cited by 11
- PowerSeries.evalNegHomproof · cited by 3
- PowerSeries.rescale_eqstatement · cited by 3
- PowerSeries.rescale_zerostatement · cited by 3
- bernoulli'_eq_zero_of_oddproof · cited by 2
- PowerSeries.exp_mul_exp_eq_exp_addstatement · cited by 2
- PowerSeries.exp_pow_eq_rescale_expstatement and proof · cited by 2
- PowerSeries.rescale_onestatement · cited by 2
- PowerSeries.exp_mul_exp_neg_eq_oneproof · cited by 1
- PowerSeries.rescale_Xstatement · cited by 1
- PowerSeries.rescale_eq_subststatement · cited by 1
- PowerSeries.rescale_mapstatement · cited by 1