Theorems · Definition · commutative algebra
MvPowerSeries.rescale
{σ : Type u_1} → {R : Type u_9} → [inst : CommSemiring R] → (σ → R) → MvPowerSeries σ R →+* MvPowerSeries σ RThe ring homomorphism taking a multivariate power series f(X) to f(aX).
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 93 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.
Cites7
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
- Finsuppproof · cited by 5,255
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.coeffproof · cited by 273
- Finsupp.prodproof · cited by 231
Cited by15
Results whose statement or proof uses this declaration.
- MvPowerSeries.coeff_rescalestatement · cited by 6
- PowerSeries.rescale_eqstatement and proof · cited by 3
- MvPowerSeries.rescale_eq_subststatement · cited by 3
- MvPowerSeries.rescaleAlgHom_applystatement · cited by 2
- MvPowerSeries.rescale_zerostatement · cited by 1
- MvPowerSeries.rescale_homogeneous_eq_smulstatement · cited by 1
- MvPowerSeries.rescale_rescalestatement and proof · cited by 1
- MvPowerSeries.rescale_zero_applystatement · cited by 0
- PowerSeries.subst_rescale_of_degree_eq_onestatement and proof · cited by 0
- PowerSeries.coe_rescaleAlgHomproof · cited by 0
- MvPowerSeries.rescaleAlgHom_mulproof · cited by 0
- MvPowerSeries.rescaleMonoidHomproof · cited by 0