Theorems · Definition · commutative algebra
LaurentSeries.powerSeriesEquivSubring
(K : Type u_2) → [inst : Field K] → PowerSeries K ≃+* ↥(LaurentSeries.powerSeries_as_subring K)
The ring K⟦X⟧ is isomorphic to the subring powerSeries_as_subring K
- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 111 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- RingEquivstatement · cited by 1,147
- PowerSeriesstatement · cited by 797
- Subringstatement · cited by 602
- RingEquiv.symmproof · cited by 567
- LaurentSeriesstatement · cited by 64
- RingEquiv.transproof · cited by 54
- HahnSeries.ofPowerSeriesproof · cited by 45
- Subring.topEquivproof · cited by 5
- LaurentSeries.powerSeries_as_subringstatement · cited by 3
- Subring.equivMapOfInjectiveproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- LaurentSeries.powerSeriesRingEquivproof · cited by 1
- LaurentSeries.powerSeriesEquivSubring_applystatement · cited by 0
- LaurentSeries.powerSeriesEquivSubring_coe_applystatement · cited by 0