j12bzjgjimport Axiom
import A.vpg72gwr
import A.c424c6bg
open c424c6bg
namespace j12bzjgj
namespace BFO
abbrev BFO : Prop := vpg72gwr.BFO.BFO
rigid universal Continuant := vpg72gwr.BFO.Continuant
rigid universal Occurrent := vpg72gwr.BFO.Occurrent
rigid universal IndependentContinuant extends Continuant := vpg72gwr.BFO.IndependentContinuant
rigid universal GenericallyDependentContinuant extends Continuant := vpg72gwr.BFO.GenericallyDependentContinuant
rigid universal SpecificallyDependentContinuant extends Continuant := vpg72gwr.BFO.SpecificallyDependentContinuant
rigid universal MaterialEntity extends IndependentContinuant := vpg72gwr.BFO.MaterialEntity
rigid universal ImmaterialEntity extends IndependentContinuant := vpg72gwr.BFO.ImmaterialEntity
rigid universal Object extends MaterialEntity := vpg72gwr.BFO.Object
rigid universal FiatObjectPart extends MaterialEntity := vpg72gwr.BFO.FiatObjectPart
rigid universal ObjectAggregate extends MaterialEntity := vpg72gwr.BFO.ObjectAggregate
rigid universal Site extends ImmaterialEntity := vpg72gwr.BFO.Site
rigid universal ContinuantFiatBoundary extends ImmaterialEntity := vpg72gwr.BFO.ContinuantFiatBoundary
rigid universal SpatialRegion extends ImmaterialEntity := vpg72gwr.BFO.SpatialRegion
rigid universal FiatSurface extends ContinuantFiatBoundary := vpg72gwr.BFO.FiatSurface
rigid universal FiatLine extends ContinuantFiatBoundary := vpg72gwr.BFO.FiatLine
rigid universal FiatPoint extends ContinuantFiatBoundary := vpg72gwr.BFO.FiatPoint
rigid universal ThreeDimensionalSpatialRegion extends SpatialRegion := vpg72gwr.BFO.ThreeDimensionalSpatialRegion
rigid universal TwoDimensionalSpatialRegion extends SpatialRegion := vpg72gwr.BFO.TwoDimensionalSpatialRegion
rigid universal OneDimensionalSpatialRegion extends SpatialRegion := vpg72gwr.BFO.OneDimensionalSpatialRegion
rigid universal ZeroDimensionalSpatialRegion extends SpatialRegion := vpg72gwr.BFO.ZeroDimensionalSpatialRegion
rigid universal Quality extends SpecificallyDependentContinuant := vpg72gwr.BFO.Quality
rigid universal RelationalQuality extends Quality := vpg72gwr.BFO.RelationalQuality
rigid universal RealizableEntity extends SpecificallyDependentContinuant := vpg72gwr.BFO.RealizableEntity
rigid universal Disposition extends RealizableEntity := vpg72gwr.BFO.Disposition
rigid universal Function extends Disposition := vpg72gwr.BFO.Function
rigid universal Role extends RealizableEntity := vpg72gwr.BFO.Role
rigid universal Process extends Occurrent := vpg72gwr.BFO.Process
rigid universal ProcessBoundary extends Occurrent := vpg72gwr.BFO.ProcessBoundary
rigid universal TemporalRegion extends Occurrent := vpg72gwr.BFO.TemporalRegion
rigid universal SpatiotemporalRegion extends Occurrent := vpg72gwr.BFO.SpatiotemporalRegion
rigid universal History extends Process := vpg72gwr.BFO.History
rigid universal OneDimensionalTemporalRegion extends TemporalRegion := vpg72gwr.BFO.OneDimensionalTemporalRegion
rigid universal ZeroDimensionalTemporalRegion extends TemporalRegion := vpg72gwr.BFO.ZeroDimensionalTemporalRegion
rigid universal TemporalInstant extends ZeroDimensionalTemporalRegion := vpg72gwr.BFO.TemporalInstant
rigid universal TemporalInterval extends OneDimensionalTemporalRegion := vpg72gwr.BFO.TemporalInterval
abbrev Entity : Type 1 := { x : Type // vpg72gwr.BFO.Entity x }
abbrev Universal : Type 1 := { u : Type // vpg72gwr.BFO.Universal u }
abbrev Particular : Type 1 := { x : Type // vpg72gwr.BFO.Particular x }
scoped instance : CoeHead Entity Type := ⟨Subtype.val⟩
scoped instance : CoeHead Universal Type := ⟨Subtype.val⟩
scoped instance : CoeHead Particular Type := ⟨Subtype.val⟩
abbrev Time := TemporalRegion
structure NonSpatialIndependentContinuant where
val : IndependentContinuant
not_spatial_at : ∀ t : Time, ¬ SpatialRegion.At val t
scoped instance : CoeHead NonSpatialIndependentContinuant Type :=
⟨fun x => x.val⟩
inductive ProcessOrProcessBoundary : Type 1 where
| process : Process → ProcessOrProcessBoundary
| processBoundary : ProcessBoundary → ProcessOrProcessBoundary
scoped instance : Coe Process ProcessOrProcessBoundary :=
⟨ProcessOrProcessBoundary.process⟩
scoped instance : Coe ProcessBoundary ProcessOrProcessBoundary :=
⟨ProcessOrProcessBoundary.processBoundary⟩
scoped instance (x : Type) [Process.Is x] : CoeDep Type x ProcessOrProcessBoundary :=
⟨(x : Process)⟩
scoped instance (x : Type) [ProcessBoundary.Is x] : CoeDep Type x ProcessOrProcessBoundary :=
⟨(x : ProcessBoundary)⟩
scoped instance : CoeHead ProcessOrProcessBoundary Type :=
⟨fun x =>
match x with
| ProcessOrProcessBoundary.process p => p
| ProcessOrProcessBoundary.processBoundary b => b⟩
inductive MaterialEntityOrSite : Type 1 where
| materialEntity : MaterialEntity → MaterialEntityOrSite
| site : Site → MaterialEntityOrSite
scoped instance : Coe MaterialEntity MaterialEntityOrSite :=
⟨MaterialEntityOrSite.materialEntity⟩
scoped instance : Coe Site MaterialEntityOrSite :=
⟨MaterialEntityOrSite.site⟩
scoped instance (x : Type) [MaterialEntity.Is x] : CoeDep Type x MaterialEntityOrSite :=
⟨(x : MaterialEntity)⟩
scoped instance (x : Type) [Site.Is x] : CoeDep Type x MaterialEntityOrSite :=
⟨(x : Site)⟩
scoped instance : CoeHead MaterialEntityOrSite Type :=
⟨fun x =>
match x with
| MaterialEntityOrSite.materialEntity m => m
| MaterialEntityOrSite.site s => s⟩
inductive Concretizer : Type 1 where
| specificallyDependentContinuant : SpecificallyDependentContinuant → Concretizer
| process : Process → Concretizer
scoped instance : Coe SpecificallyDependentContinuant Concretizer :=
⟨Concretizer.specificallyDependentContinuant⟩
scoped instance : Coe Process Concretizer :=
⟨Concretizer.process⟩
scoped instance (x : Type) [SpecificallyDependentContinuant.Is x] : CoeDep Type x Concretizer :=
⟨(x : SpecificallyDependentContinuant)⟩
scoped instance (x : Type) [Process.Is x] : CoeDep Type x Concretizer :=
⟨(x : Process)⟩
scoped instance : CoeHead Concretizer Type :=
⟨fun x =>
match x with
| Concretizer.specificallyDependentContinuant s => s
| Concretizer.process p => p⟩
inductive Participant : Type 1 where
| independentContinuant : NonSpatialIndependentContinuant → Participant
| specificallyDependentContinuant : SpecificallyDependentContinuant → Participant
| genericallyDependentContinuant : GenericallyDependentContinuant → Participant
scoped instance : Coe NonSpatialIndependentContinuant Participant :=
⟨Participant.independentContinuant⟩
scoped instance : Coe SpecificallyDependentContinuant Participant :=
⟨Participant.specificallyDependentContinuant⟩
scoped instance : Coe GenericallyDependentContinuant Participant :=
⟨Participant.genericallyDependentContinuant⟩
scoped instance (x : Type) [SpecificallyDependentContinuant.Is x] : CoeDep Type x Participant :=
⟨(x : SpecificallyDependentContinuant)⟩
scoped instance (x : Type) [GenericallyDependentContinuant.Is x] : CoeDep Type x Participant :=
⟨(x : GenericallyDependentContinuant)⟩
scoped instance : CoeHead Participant Type :=
⟨fun x =>
match x with
| Participant.independentContinuant c => c
| Participant.specificallyDependentContinuant s => s
| Participant.genericallyDependentContinuant g => g⟩
inductive SpecificDependencyTarget : Type 1 where
| specificallyDependentContinuant : SpecificallyDependentContinuant → SpecificDependencyTarget
| independentContinuant : NonSpatialIndependentContinuant → SpecificDependencyTarget
scoped instance : Coe SpecificallyDependentContinuant SpecificDependencyTarget :=
⟨SpecificDependencyTarget.specificallyDependentContinuant⟩
scoped instance : Coe NonSpatialIndependentContinuant SpecificDependencyTarget :=
⟨SpecificDependencyTarget.independentContinuant⟩
scoped instance (x : Type) [SpecificallyDependentContinuant.Is x] :
CoeDep Type x SpecificDependencyTarget :=
⟨(x : SpecificallyDependentContinuant)⟩
scoped instance : CoeHead SpecificDependencyTarget Type :=
⟨fun x =>
match x with
| SpecificDependencyTarget.specificallyDependentContinuant s => s
| SpecificDependencyTarget.independentContinuant c => c⟩
inductive OccurrentOrTemporalRegion : Type 1 where
| occurrent : Occurrent → OccurrentOrTemporalRegion
| temporalRegion : TemporalRegion → OccurrentOrTemporalRegion
scoped instance : Coe Occurrent OccurrentOrTemporalRegion :=
⟨OccurrentOrTemporalRegion.occurrent⟩
scoped instance : Coe TemporalRegion OccurrentOrTemporalRegion :=
⟨OccurrentOrTemporalRegion.temporalRegion⟩
scoped instance (x : Type) [Occurrent.Is x] : CoeDep Type x OccurrentOrTemporalRegion :=
⟨(x : Occurrent)⟩
scoped instance (x : Type) [TemporalRegion.Is x] : CoeDep Type x OccurrentOrTemporalRegion :=
⟨(x : TemporalRegion)⟩
scoped instance : CoeHead OccurrentOrTemporalRegion Type :=
⟨fun x =>
match x with
| OccurrentOrTemporalRegion.occurrent o => o
| OccurrentOrTemporalRegion.temporalRegion t => t⟩
def InstanceOf (x : Particular) (u : Universal) (t : Time) : Prop :=
vpg72gwr.BFO.InstanceOf x u t
def ExistsAt (x : Type) (t : Time) : Prop :=
vpg72gwr.BFO.ExistsAt x t
def ContinuantPartOf (part whole : Continuant) (t : Time) : Prop :=
vpg72gwr.BFO.ContinuantPartOf part whole t
def HasContinuantPart (whole part : Continuant) (t : Time) : Prop :=
vpg72gwr.BFO.HasContinuantPart whole part t
def ProperContinuantPartOf (part whole : Continuant) (t : Time) : Prop :=
vpg72gwr.BFO.ProperContinuantPartOf part whole t
def HasProperContinuantPart (whole part : Continuant) (t : Time) : Prop :=
vpg72gwr.BFO.HasProperContinuantPart whole part t
def GenericallyDependsOn
(dependent : GenericallyDependentContinuant)
(carrier : NonSpatialIndependentContinuant)
(t : Time) : Prop :=
vpg72gwr.BFO.GenericallyDependsOn dependent carrier t
def IsCarrierOf
(carrier : NonSpatialIndependentContinuant)
(dependent : GenericallyDependentContinuant)
(t : Time) : Prop :=
vpg72gwr.BFO.IsCarrierOf carrier dependent t
def Concretizes (a : Concretizer) (b : GenericallyDependentContinuant) (t : Time) : Prop :=
vpg72gwr.BFO.Concretizes a b t
def IsConcretizedBy (b : GenericallyDependentContinuant) (a : Concretizer) (t : Time) : Prop :=
vpg72gwr.BFO.IsConcretizedBy b a t
def HistoryOf (history : History) (entity : MaterialEntity) : Prop :=
vpg72gwr.BFO.HistoryOf history entity
def HasHistory (entity : MaterialEntity) (history : History) : Prop :=
vpg72gwr.BFO.HasHistory entity history
def MemberPartOf (member : Object) (aggregate : ObjectAggregate) (t : Time) : Prop :=
vpg72gwr.BFO.MemberPartOf member aggregate t
def HasMemberPart (aggregate : ObjectAggregate) (member : Object) (t : Time) : Prop :=
vpg72gwr.BFO.HasMemberPart aggregate member t
def OccurrentPartOf (part whole : Occurrent) : Prop :=
vpg72gwr.BFO.OccurrentPartOf part whole
def HasOccurrentPart (whole part : Occurrent) : Prop :=
vpg72gwr.BFO.HasOccurrentPart whole part
def ProperOccurrentPartOf (part whole : Occurrent) : Prop :=
vpg72gwr.BFO.ProperOccurrentPartOf part whole
def HasProperOccurrentPart (whole part : Occurrent) : Prop :=
vpg72gwr.BFO.HasProperOccurrentPart whole part
def Precedes (earlier later : Occurrent) : Prop :=
vpg72gwr.BFO.Precedes earlier later
def PrecededBy (later earlier : Occurrent) : Prop :=
vpg72gwr.BFO.PrecededBy later earlier
def ParticipatesIn (participant : Participant) (process : Process) (t : Time) : Prop :=
vpg72gwr.BFO.ParticipatesIn participant process t
def HasParticipant (process : Process) (participant : Participant) (t : Time) : Prop :=
vpg72gwr.BFO.HasParticipant process participant t
def LocatedIn
(located location : NonSpatialIndependentContinuant)
(t : Time) : Prop :=
vpg72gwr.BFO.LocatedIn located location t
def LocationOf
(location located : NonSpatialIndependentContinuant)
(t : Time) : Prop :=
vpg72gwr.BFO.LocationOf location located t
def OccupiesSpatialRegion
(occupant : NonSpatialIndependentContinuant)
(region : SpatialRegion)
(t : Time) : Prop :=
vpg72gwr.BFO.OccupiesSpatialRegion occupant region t
def OccursIn (process : ProcessOrProcessBoundary) (context : MaterialEntityOrSite) : Prop :=
vpg72gwr.BFO.OccursIn process context
def Environs (context : MaterialEntityOrSite) (process : ProcessOrProcessBoundary) : Prop :=
vpg72gwr.BFO.Environs context process
def SpatiallyProjectsOnto
(source : SpatiotemporalRegion)
(projection : SpatialRegion)
(t : Time) : Prop :=
vpg72gwr.BFO.SpatiallyProjectsOnto source projection t
def TemporallyProjectsOnto
(source : SpatiotemporalRegion)
(projection : TemporalRegion) : Prop :=
vpg72gwr.BFO.TemporallyProjectsOnto source projection
def OccupiesTemporalRegion
(occupant : ProcessOrProcessBoundary)
(region : TemporalRegion) : Prop :=
vpg72gwr.BFO.OccupiesTemporalRegion occupant region
relation ProcessOccupiesTemporalRegion : Process → TemporalRegion :=
fun process region => vpg72gwr.BFO.OccupiesTemporalRegion process region
def OccupiesSpatiotemporalRegion
(occupant : ProcessOrProcessBoundary)
(region : SpatiotemporalRegion) : Prop :=
vpg72gwr.BFO.OccupiesSpatiotemporalRegion occupant region
def InheresIn (dependent : SpecificallyDependentContinuant) (bearer : NonSpatialIndependentContinuant) : Prop :=
vpg72gwr.BFO.InheresIn dependent bearer
def BearerOf (bearer : NonSpatialIndependentContinuant) (dependent : SpecificallyDependentContinuant) : Prop :=
vpg72gwr.BFO.BearerOf bearer dependent
def HasMaterialBasis (disposition : Disposition) (basis : MaterialEntity) (t : Time) : Prop :=
vpg72gwr.BFO.HasMaterialBasis disposition basis t
def MaterialBasisOf (basis : MaterialEntity) (disposition : Disposition) (t : Time) : Prop :=
vpg72gwr.BFO.MaterialBasisOf basis disposition t
def SpecificallyDependsOn
(dependent : SpecificallyDependentContinuant)
(target : SpecificDependencyTarget) : Prop :=
vpg72gwr.BFO.SpecificallyDependsOn dependent target
def SpecificallyDependedOnBy
(target : SpecificDependencyTarget)
(dependent : SpecificallyDependentContinuant) : Prop :=
vpg72gwr.BFO.SpecificallyDependedOnBy target dependent
def Realizes (process : Process) (realizable : RealizableEntity) : Prop :=
vpg72gwr.BFO.Realizes process realizable
def HasRealization (realizable : RealizableEntity) (process : Process) : Prop :=
vpg72gwr.BFO.HasRealization realizable process
def TemporalPartOf (part whole : OccurrentOrTemporalRegion) : Prop :=
vpg72gwr.BFO.TemporalPartOf part whole
relation TemporalRegionPartOf : TemporalRegion → TemporalRegion :=
fun part whole => vpg72gwr.BFO.TemporalPartOf part whole
def HasTemporalPart (whole part : OccurrentOrTemporalRegion) : Prop :=
vpg72gwr.BFO.HasTemporalPart whole part
def ProperTemporalPartOf (part whole : OccurrentOrTemporalRegion) : Prop :=
vpg72gwr.BFO.ProperTemporalPartOf part whole
def HasProperTemporalPart (whole part : OccurrentOrTemporalRegion) : Prop :=
vpg72gwr.BFO.HasProperTemporalPart whole part
def HasFirstInstant (region : TemporalRegion) (instant : TemporalInstant) : Prop :=
vpg72gwr.BFO.HasFirstInstant region instant
def FirstInstantOf (instant : TemporalInstant) (region : TemporalRegion) : Prop :=
vpg72gwr.BFO.FirstInstantOf instant region
def HasLastInstant (region : TemporalRegion) (instant : TemporalInstant) : Prop :=
vpg72gwr.BFO.HasLastInstant region instant
def LastInstantOf (instant : TemporalInstant) (region : TemporalRegion) : Prop :=
vpg72gwr.BFO.LastInstantOf instant region
end BFO
end j12bzjgj
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