Theorems · Theorem · commutative algebra
LaurentSeries.powerSeriesPart_eq_zero
∀ {R : Type u_1} [inst : Semiring R] (x : LaurentSeries R), x.powerSeriesPart = 0 ↔ x = 0- Defined in
- Mathlib.RingTheory.LaurentSeries
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- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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Cites12
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- Semiringstatement and proof · cited by 13,802
- add_zeroproof · cited by 2,707
- PowerSeriesstatement · cited by 797
- CharP.cast_eq_zeroproof · cited by 357
- HahnSeries.coeffproof · cited by 235
- LaurentSeriesstatement and proof · cited by 64
- HahnSeries.orderproof · cited by 52
- PowerSeries.coeff_zero_eq_constantCoeffproof · cited by 41
- PowerSeries.ext_iffproof · cited by 10
- LaurentSeries.powerSeriesPartstatement · cited by 9
- LaurentSeries.powerSeriesPart_coeffproof · cited by 5
- LaurentSeries.powerSeriesPart_zeroproof · cited by 1
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