import Definitions.Def_FLTPrelim_FreyPackage import Definitions.Def_FLTPrelim_GaloisRep import Definitions.Def_FLTPrelim_ModularRep import Definitions.Def_FLTPrelim_Modularity import Definitions.Def_WeierstrassCurve_Mlc1RowStatement import Definitions.Def_WeierstrassCurve_ModularityProps import Definitions.Def_WeierstrassCurve_Semistability import Definitions.Def_WeierstrassCurve_ThreeFiveSwitchConditioned set_option autoImplicit false noncomputable section namespace WeierstrassCurve abbrev IsModularModelOfExactConductorLevel (W : WeierstrassCurve ℤ) : Prop := Mlc1IsModularModelOfExactConductorLevel W namespace IsModularModelOfExactConductorLevel end IsModularModelOfExactConductorLevel abbrev ModularityLiftingAtConductor (p : ℕ) : Prop := Mlc1ModularityLiftingAtConductor p def ModularityLiftingAtConductorOrdinary (p : ℕ) : Prop := ∀ W : WeierstrassCurve ℤ, W.Δ ≠ 0 → W.IsSemistableModel → W.ModRepIsIrreducible p → (¬ W.IsGoodPrimeFor p ∨ ¬ (p : ℤ) ∣ W.apOfModel p) → W.IsResiduallyModular p → W.IsModularModelOfExactConductorLevel end WeierstrassCurve namespace FreyPackage open WeierstrassCurve WeierstrassCurve.Affine.Point FreyCurve noncomputable local instance instDecEqQbarLedgerStageTwo : DecidableEq (AlgebraicClosure ℚ) := Classical.decEq _ end FreyPackage end