OAI/NumberTheory/PiExponent/Geometry/CurveValuationCenter.lean
29 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.PiExponent.CurveValuationCenter.integral_mem_valuationSubringline 12 - theorem
OAI.PiExponent.CurveValuationCenter.aeval_mem_valuationSubringline 28 - theorem
OAI.PiExponent.CurveValuationCenter.parameterChart_mem_valuationSubringline 42 - def
OAI.PiExponent.CurveValuationCenter.parameterChartValuationHomline 54 - def
OAI.PiExponent.CurveValuationCenter.parameterValuationCenterline 65 - instance
OAI.PiExponent.CurveValuationCenter.parameterValuationCenter_isPrimeline 73 - theorem
OAI.PiExponent.CurveValuationCenter.mem_parameterValuationCenter_iffline 80 - theorem
OAI.PiExponent.CurveValuationCenter.parameterValuationCenter_liesOverline 90 - def
OAI.PiExponent.CurveValuationCenter.parameterCenterPlaceline 107 - def
OAI.PiExponent.CurveValuationCenter.parameterCenterLocalHomline 116 - theorem
OAI.PiExponent.CurveValuationCenter.parameterCenterLocalHom_algebraMapline 129 - theorem
OAI.PiExponent.CurveValuationCenter.parameterCenterLocalHom_comap_maximalIdealline 138 - theorem
OAI.PiExponent.CurveValuationCenter.parameterCenterLocalHom_coeline 155 - theorem
OAI.PiExponent.CurveValuationCenter.parameterCenterLocal_nonnegline 175 - theorem
OAI.PiExponent.CurveValuationCenter.parameterCenterLocal_positiveline 188 - theorem
OAI.PiExponent.CurveValuationCenter.primeFieldValuation_algebraMap_localOrderline 205 - theorem
OAI.PiExponent.CurveValuationCenter.primeFieldValuation_algebraMap_nonnegline 226 - theorem
OAI.PiExponent.CurveValuationCenter.enatToIntegerOrder_pos_iffline 234 - theorem
OAI.PiExponent.CurveValuationCenter.primeFieldValuation_positive_iffline 242 - structure
OAI.PiExponent.CurveValuationCenter.NormalizedPlaceline 254 - theorem
OAI.PiExponent.CurveValuationCenter.NormalizedPlace.extline 259 - theorem
OAI.PiExponent.CurveValuationCenter.valuation_eq_parameterPlaceValuationline 267 - theorem
OAI.PiExponent.CurveValuationCenter.primeFieldValuation_normalizedline 300 - theorem
OAI.PiExponent.CurveValuationCenter.parameterPlaceValuation_constants_nonnegline 314 - theorem
OAI.PiExponent.CurveValuationCenter.parameterPlaceValuation_positiveline 335 - def
OAI.PiExponent.CurveValuationCenter.parameterNormalizedPlaceline 360 - theorem
OAI.PiExponent.CurveValuationCenter.parameterCenterPlace_parameterNormalizedPlaceline 378 - def
OAI.PiExponent.CurveValuationCenter.positivePlaceEquivZeroPlacesline 402 - theorem
OAI.PiExponent.CurveValuationCenter.finite_positivePlacesline 416