Theorems · Theorem · commutative algebra
LaurentSeries.valuation_coe_ratFunc
∀ (K : Type u_2) [inst : Field K] (f : RatFunc K), Valued.v ((algebraMap (RatFunc K) (LaurentSeries K)) f) = Valued.v f
- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- Algebra.algebraMapstatement · cited by 4,706
- Multiplicativestatement · cited by 875
- Valuationstatement · cited by 823
- WithZerostatement · cited by 586
- RatFuncstatement and proof · cited by 301
- Valued.vstatement · cited by 163
- IsDedekindDomain.HeightOneSpectrum.valuationproof · cited by 130
- LaurentSeriesstatement · cited by 64
Cited by1
Results whose statement or proof uses this declaration.
- LaurentSeries.inducing_coeproof · cited by 1