Theorems · Theorem · commutative algebra
PowerSeries.constantCoeff_divXPowOrder_eq_zero_iff
∀ {R : Type u_1} [inst : Semiring R] {f : PowerSeries R}, PowerSeries.constantCoeff f.divXPowOrder = 0 ↔ f = 0- Defined in
- Mathlib.RingTheory.PowerSeries.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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Cites9
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
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- PowerSeriesstatement and proof · cited by 797
- PowerSeries.constantCoeffstatement and proof · cited by 126
- PowerSeries.divXPowOrderstatement and proof · cited by 17
- PowerSeries.coeff_orderproof · cited by 4
- PowerSeries.divXPowOrder_zeroproof · cited by 2
- PowerSeries.constantCoeff_divXPowOrderproof · cited by 1
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