Theorems · Theorem · commutative algebra
PowerSeries.rescale_zero_apply
∀ {R : Type u_1} [inst : CommSemiring R] (f : PowerSeries R),
(PowerSeries.rescale 0) f = PowerSeries.C (PowerSeries.constantCoeff f)- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 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.
Cites8
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
- PowerSeriesstatement and proof · cited by 797
- PowerSeries.constantCoeffstatement and proof · cited by 126
- PowerSeries.Cstatement and proof · cited by 76
- PowerSeries.rescalestatement · cited by 23
- PowerSeries.rescale_zeroproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.