Theorems · Theorem · commutative algebra
MvPowerSeries.rescale_eq_subst
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] (a : σ → R) (f : MvPowerSeries σ R),
(MvPowerSeries.rescale a) f = MvPowerSeries.subst (a • MvPowerSeries.X) f- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Finsuppproof · cited by 5,255
- Finset.sum_congrproof · cited by 2,323
- mul_commproof · cited by 2,262
- MulZeroClass.mul_zeroproof · cited by 2,091
- MvPowerSeriesstatement and proof · cited by 659
- Function.supportproof · cited by 610
- Set.Finite.toFinsetproof · cited by 351
- MvPowerSeries.coeffproof · cited by 273
- Finsupp.prodproof · cited by 231
Cited by3
Results whose statement or proof uses this declaration.
- MvPowerSeries.rescaleAlgHom_applyproof · cited by 2
- PowerSeries.rescale_eq_substproof · cited by 1
- PowerSeries.subst_rescale_of_degree_eq_oneproof · cited by 0