Theorems · Theorem · commutative algebra
PowerSeries.rescale_eq_subst
∀ {R : Type u_2} [inst : CommRing R] (r : R) (f : PowerSeries R),
(PowerSeries.rescale r) f = PowerSeries.subst (r • PowerSeries.X) f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- PowerSeriesstatement and proof · cited by 797
- MvPowerSeriesproof · cited by 659
- PowerSeries.Xstatement and proof · cited by 183
- MvPowerSeries.Xproof · cited by 98
- MvPowerSeries.substproof · cited by 73
- PowerSeries.subststatement and proof · cited by 58
- PowerSeries.rescalestatement · cited by 23
- PowerSeries.rescale_eqproof · cited by 3
- MvPowerSeries.rescale_eq_substproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.subst_rescale_of_degree_eq_oneproof · cited by 0