Theorems · Definition · commutative algebra
LaurentSeries.ratfuncAdicComplPkg
{K : Type u_2} → [inst : Field K] → AbstractCompletion.{u_2, u_2} (WithVal (RatFunc.polynomialValuationX K))The X-adic completion as an abstract completion of K⟮X⟯
- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 158 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.
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
- Multiplicativestatement · cited by 875
- WithZerostatement · cited by 586
- RatFuncstatement · cited by 301
- WithValstatement · cited by 151
- AbstractCompletionstatement · cited by 41
- UniformSpace.Completion.cPkgproof · cited by 23
- RatFunc.polynomialValuationXstatement · cited by 11
Cited by5
Results whose statement or proof uses this declaration.
- LaurentSeries.valuation_compareproof · cited by 3
- LaurentSeries.ratfuncAdicComplRingEquiv_applystatement · cited by 1
- LaurentSeries.comparePkgproof · cited by 1
- LaurentSeries.coe_X_compareproof · cited by 0
- LaurentSeries.LaurentSeriesRingEquiv_defstatement · cited by 0