AlgebraicCurve.Place.ordDiff_eq_ordDifferential
Source context 6 commands
Surrounding namespaces, section variables, and local commands at this declaration.
section ProofImplementation
namespace AlgebraicCurves.Places.Proofs.Place_ordDiff_eq_ordDifferential
attribute [-instance]
instIsPrimeCenter
instIsFractionRingIntegralClosureAt
instIsTorsionFreeSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
instIsDedekindDomainIntegralClosureAt
instFiniteSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
AlgebraicCurve.instFundamentalIdentityOfSumRamificationInertia
instIsScalarTowerResidueFieldRestrictPushforward
instAlgebraResidueFieldRestrictPushforward
instIsLocalHomRestrictInclusion
instIsRankOneDiscreteWithZeroMultiplicativeIntAdicValuation
instIsTrivialOnWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.RationalFunctionField.instNontrivialInftyValueGroup
attribute [-simp] AlgebraicCurve.Place.placeOfPrime_toValuationSubring
AlgebraicCurve.Place.mem_fiberOver AlgebraicCurve.Place.fiberEquiv_symm_apply
AlgebraicCurve.Place.fiberEquiv_apply AlgebraicCurve.Place.centerHeightOneSpectrum_asIdeal
AlgebraicCurve.Divisor.mapRestrict_single AlgebraicCurve.Divisor.pushforward_single
AlgebraicCurve.Place.coe_restrictInclusion AlgebraicCurve.Place.mem_fiber
AlgebraicCurve.Place.restrict_toValuationSubring AlgebraicCurve.Divisor.degree_pushforward
AlgebraicCurve.Place.restrictResidueMap_residue AlgebraicCurve.Pic0.coe_pushforwardDegZeroHom
AlgebraicCurve.Pic0.coe_pullbackDegZeroHom AlgebraicCurve.Place.congrEquiv_symm_apply
AlgebraicCurve.RationalFunctionField.heightOneSpectrumOfIrreducible_asIdeal
AlgebraicCurve.Place.congrRingEquiv_toValuationSubring AlgebraicCurve.Place.congrEquiv_apply
AlgebraicCurve.Place.coe_comapSymmRingEquiv_apply
AlgebraicCurve.RationalFunctionField.deg_placeOfPoint
attribute [-simp] AlgebraicCurve.RationalFunctionField.placeInfty_toValuationSubring
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeInfty
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_some
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeOfPoint
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_none
AlgebraicCurve.Divisor.evalFun_zero AlgebraicCurve.Place.evalAt_one
open AlgebraicCurve IntermediateFieldLean source · statement
theorem _root_.AlgebraicCurve.Place.ordDiff_eq_ordDifferential {K F : Type*} [Field K] [Field F]
[Algebra K F]
[CharZero K] [Algebra.EssFiniteType K F] [AlgebraicCurve.IsCurveOver K F]
(v : AlgebraicCurve.Place K F) (ω : Ω[F⁄K]) :
v.ordDiff ω = v.ordDifferential ω