Theorems · Definition · commutative algebra
LaurentSeries.LaurentSeriesAlgEquiv
(K : Type u_2) → [inst : Field K] → LaurentSeries K ≃ₐ[K] LaurentSeries.RatFuncAdicCompl K
The algebra equivalence between K⸨X⸩ and the X-adic completion of RatFunc X
- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- AlgEquivstatement · cited by 1,681
- RatFuncstatement · cited by 301
- LaurentSeriesstatement · cited by 64
- Polynomial.idealXstatement · cited by 23
- AlgEquiv.ofRingEquivproof · cited by 12
- LaurentSeries.RatFuncAdicComplstatement · cited by 11
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