Theorems · Theorem · commutative algebra
PowerSeries.rescale_zero
∀ {R : Type u_1} [inst : CommSemiring R], PowerSeries.rescale 0 = PowerSeries.C.comp PowerSeries.constantCoeff- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 101 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.
Cites19
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
- one_mulproof · cited by 2,841
- MulZeroClass.zero_mulproof · cited by 1,625
- pow_zeroproof · cited by 1,094
- RingHom.compstatement · cited by 899
- PowerSeriesstatement and proof · cited by 797
- zero_powproof · cited by 361
- RingHom.extproof · cited by 331
- PowerSeries.coeffproof · cited by 324
- PowerSeries.constantCoeffstatement and proof · cited by 126
Cited by3
Results whose statement or proof uses this declaration.
- PowerSeries.exp_pow_eq_rescale_expproof · cited by 2
- PowerSeries.exp_mul_exp_neg_eq_oneproof · cited by 1
- PowerSeries.rescale_zero_applyproof · cited by 0