Theorems · Theorem · commutative algebra
MvPowerSeries.rescale_rescale
∀ {σ : Type u_1} {R : Type u_9} [inst : CommSemiring R] (f : MvPowerSeries σ R) (a b : σ → R),
(MvPowerSeries.rescale b) ((MvPowerSeries.rescale a) f) = (MvPowerSeries.rescale (a * b)) f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 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.
Cites13
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
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Finsuppproof · cited by 5,255
- mul_commproof · cited by 2,262
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.coeffproof · cited by 273
- Finsupp.prodproof · cited by 231
- mul_powproof · cited by 220
- MvPowerSeries.extproof · cited by 58
- MvPowerSeries.rescalestatement and proof · cited by 14
- MvPowerSeries.coeff_rescaleproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- MvPowerSeries.rescaleAlgHom_mulproof · cited by 0