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.
Modal
.
Kripke
.
Geach
.
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Imports
Init
Foundation.Modal.Kripke.Geach.Basic
Imported by
Foundation.Modal.Hilbert.WeakerThan.KT_S4
Foundation.Modal.Hilbert.WeakerThan.KB_KDB
Foundation.Modal.Hilbert.WeakerThan.KD5_KD45
Foundation.Modal.Hilbert.WeakerThan.K4_S4
Foundation.Modal.Hilbert.WeakerThan.K45_KB4
Foundation.Modal.Hilbert.WeakerThan.KT_KTB
Foundation.Modal.Hilbert.WeakerThan.K5_K45
Foundation.Modal.Hilbert.WeakerThan.KB5_S5
Foundation.Modal.Hilbert.WeakerThan.KD_KDB
Foundation.Modal.Hilbert.WeakerThan.KD_KT
Foundation.Modal.Kripke.Grz.Definability
Foundation.Modal.Hilbert.WeakerThan.S4_S5
Foundation.Modal.Hilbert.WeakerThan.K4_KD4
Foundation.Modal.Kripke.Filteration
Foundation.Modal.Hilbert.Equiv.S5_KT4B
Foundation.Modal.Hilbert.WeakerThan.KD45_S5
Foundation.Modal.Kripke.Dot3
Foundation.Modal.Hilbert.WeakerThan.K4_K45
Foundation.Modal.Hilbert.WeakerThan.KDB_KTB
Foundation.Modal.Hilbert.WeakerThan.K5_KD5
Foundation.Modal.Kripke.S5
Foundation.Modal.ModalCompanion.GMT
Foundation.Modal.Hilbert.WeakerThan.KD4_KD45
Foundation.Modal.Hilbert.WeakerThan.KTB_S5
LO
.
Modal
.
Hilbert
.
KD
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KD
.
consistent
LO
.
Modal
.
Hilbert
.
KT
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KT
.
consistent
LO
.
Modal
.
Hilbert
.
KT
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
KB
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KB
.
consistent
LO
.
Modal
.
Hilbert
.
KB
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
KTB
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KTB
.
consistent
LO
.
Modal
.
Hilbert
.
KTB
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
K4
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
K4
.
consistent
LO
.
Modal
.
Hilbert
.
K4
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
K5
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
K5
.
consistent
LO
.
Modal
.
Hilbert
.
K5
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
S4
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
S4
.
consistent
LO
.
Modal
.
Hilbert
.
S4
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
S5
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
S5
.
consistent
LO
.
Modal
.
Hilbert
.
S5
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
KT4B
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KT4B
.
consistent
LO
.
Modal
.
Hilbert
.
KT4B
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
KD45
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KD45
.
consistent
LO
.
Modal
.
Hilbert
.
KD45
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
K45
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
K45
.
consistent
LO
.
Modal
.
Hilbert
.
K45
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
KB4
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KB4
.
consistent
LO
.
Modal
.
Hilbert
.
KB4
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
KB5
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KB5
.
consistent
LO
.
Modal
.
Hilbert
.
KB5
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
KDB
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KDB
.
consistent
LO
.
Modal
.
Hilbert
.
KDB
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
KD4
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KD4
.
consistent
LO
.
Modal
.
Hilbert
.
KD4
.
Kripke
.
complete
LO
.
Modal
.
Hilbert
.
KD5
.
Kripke
.
sound
LO
.
Modal
.
Hilbert
.
KD5
.
consistent
LO
.
Modal
.
Hilbert
.
KD5
.
Kripke
.
complete
source
instance
LO
.
Modal
.
Hilbert
.
KD
.
Kripke
.
sound
:
Sound
(
Hilbert.KD
ℕ
)
Kripke.SerialFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KD
.
consistent
:
System.Consistent
(
Hilbert.KD
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KT
.
Kripke
.
sound
:
Sound
(
Hilbert.KT
ℕ
)
Kripke.ReflexiveFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KT
.
consistent
:
System.Consistent
(
Hilbert.KT
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KT
.
Kripke
.
complete
:
Complete
(
Hilbert.KT
ℕ
)
Kripke.ReflexiveFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KB
.
Kripke
.
sound
:
Sound
(
Hilbert.KB
ℕ
)
Kripke.SymmetricFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KB
.
consistent
:
System.Consistent
(
Hilbert.KB
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KB
.
Kripke
.
complete
:
Complete
(
Hilbert.KB
ℕ
)
Kripke.SymmetricFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KTB
.
Kripke
.
sound
:
Sound
(
Hilbert.KTB
ℕ
)
Kripke.ReflexiveSymmetricFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KTB
.
consistent
:
System.Consistent
(
Hilbert.KTB
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KTB
.
Kripke
.
complete
:
Complete
(
Hilbert.KTB
ℕ
)
Kripke.ReflexiveSymmetricFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
K4
.
Kripke
.
sound
:
Sound
(
Hilbert.K4
ℕ
)
Kripke.TransitiveFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
K4
.
consistent
:
System.Consistent
(
Hilbert.K4
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
K4
.
Kripke
.
complete
:
Complete
(
Hilbert.K4
ℕ
)
Kripke.TransitiveFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
K5
.
Kripke
.
sound
:
Sound
(
Hilbert.K5
ℕ
)
Kripke.EuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
K5
.
consistent
:
System.Consistent
(
Hilbert.K5
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
K5
.
Kripke
.
complete
:
Complete
(
Hilbert.K5
ℕ
)
Kripke.EuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
S4
.
Kripke
.
sound
:
Sound
(
Hilbert.S4
ℕ
)
Kripke.ReflexiveTransitiveFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
S4
.
consistent
:
System.Consistent
(
Hilbert.S4
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
S4
.
Kripke
.
complete
:
Complete
(
Hilbert.S4
ℕ
)
Kripke.ReflexiveTransitiveFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
S5
.
Kripke
.
sound
:
Sound
(
Hilbert.S5
ℕ
)
Kripke.ReflexiveEuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
S5
.
consistent
:
System.Consistent
(
Hilbert.S5
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
S5
.
Kripke
.
complete
:
Complete
(
Hilbert.S5
ℕ
)
Kripke.ReflexiveEuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KT4B
.
Kripke
.
sound
:
Sound
(
Hilbert.KT4B
ℕ
)
Kripke.ReflexiveTransitiveSymmetricFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KT4B
.
consistent
:
System.Consistent
(
Hilbert.KT4B
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KT4B
.
Kripke
.
complete
:
Complete
(
Hilbert.KT4B
ℕ
)
Kripke.ReflexiveTransitiveSymmetricFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KD45
.
Kripke
.
sound
:
Sound
(
Hilbert.KD45
ℕ
)
Kripke.SerialTransitiveEuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KD45
.
consistent
:
System.Consistent
(
Hilbert.KD45
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KD45
.
Kripke
.
complete
:
Complete
(
Hilbert.KD45
ℕ
)
Kripke.SerialTransitiveEuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
K45
.
Kripke
.
sound
:
Sound
(
Hilbert.K45
ℕ
)
Kripke.TransitiveEuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
K45
.
consistent
:
System.Consistent
(
Hilbert.K45
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
K45
.
Kripke
.
complete
:
Complete
(
Hilbert.K45
ℕ
)
Kripke.TransitiveEuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KB4
.
Kripke
.
sound
:
Sound
(
Hilbert.KB4
ℕ
)
Kripke.SymmetricTransitiveFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KB4
.
consistent
:
System.Consistent
(
Hilbert.KB4
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KB4
.
Kripke
.
complete
:
Complete
(
Hilbert.KB4
ℕ
)
Kripke.SymmetricTransitiveFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KB5
.
Kripke
.
sound
:
Sound
(
Hilbert.KB5
ℕ
)
Kripke.SymmetricEuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KB5
.
consistent
:
System.Consistent
(
Hilbert.KB5
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KB5
.
Kripke
.
complete
:
Complete
(
Hilbert.KB5
ℕ
)
Kripke.SymmetricEuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KDB
.
Kripke
.
sound
:
Sound
(
Hilbert.KDB
ℕ
)
Kripke.SerialSymmetricFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KDB
.
consistent
:
System.Consistent
(
Hilbert.KDB
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KDB
.
Kripke
.
complete
:
Complete
(
Hilbert.KDB
ℕ
)
Kripke.SerialSymmetricFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KD4
.
Kripke
.
sound
:
Sound
(
Hilbert.KD4
ℕ
)
Kripke.SerialTransitiveFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KD4
.
consistent
:
System.Consistent
(
Hilbert.KD4
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KD4
.
Kripke
.
complete
:
Complete
(
Hilbert.KD4
ℕ
)
Kripke.SerialTransitiveFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KD5
.
Kripke
.
sound
:
Sound
(
Hilbert.KD5
ℕ
)
Kripke.SerialEuclideanFrameClass
source
instance
LO
.
Modal
.
Hilbert
.
KD5
.
consistent
:
System.Consistent
(
Hilbert.KD5
ℕ
)
source
instance
LO
.
Modal
.
Hilbert
.
KD5
.
Kripke
.
complete
:
Complete
(
Hilbert.KD5
ℕ
)
Kripke.SerialEuclideanFrameClass