Theorems · Definition · commutative algebra
LaurentSeries.ratfuncAdicComplRingEquiv
(K : Type u_2) → [inst : Field K] → LaurentSeries.RatFuncAdicCompl K ≃+* LaurentSeries K
The ring equivalence between RatFuncAdicCompl K and K⸨X⸩.
- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- RingEquivstatement · cited by 1,147
- RatFuncstatement · cited by 301
- UniformEquivproof · cited by 80
- LaurentSeriesstatement and proof · cited by 64
- Polynomial.idealXstatement · cited by 23
- UniformEquiv.toEquivproof · cited by 21
- LaurentSeries.RatFuncAdicComplstatement and proof · cited by 11
- LaurentSeries.comparePkgproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- LaurentSeries.LaurentSeriesRingEquivproof · cited by 8
- LaurentSeries.ratfuncAdicComplRingEquiv_applystatement · cited by 1
- LaurentSeries.exists_powerSeries_of_memIntegersproof · cited by 1
- LaurentSeries.coe_X_comparestatement · cited by 0