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Foundation
.
Modal
.
Kripke
.
Logic
.
KD
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Imports
Init
Foundation.Modal.Kripke.AxiomGeach
Foundation.Modal.Kripke.Hilbert
Foundation.Modal.Hilbert.Normal.Basic
Foundation.Modal.Kripke.Logic.K
Imported by
LO
.
Modal
.
Kripke
.
Frame
.
IsKD
LO
.
Modal
.
Kripke
.
FrameClass
.
KD
LO
.
Modal
.
Hilbert
.
KD
.
Kripke
.
instSoundNormalNatFormulaFrameClassKD
LO
.
Modal
.
Hilbert
.
KD
.
Kripke
.
instConsistentFormulaNatNormal
LO
.
Modal
.
Hilbert
.
KD
.
Kripke
.
instCanonicalNormalNatKD
LO
.
Modal
.
Hilbert
.
KD
.
Kripke
.
instCompleteNormalNatFormulaFrameClassKD
LO
.
Modal
.
Hilbert
.
instStrictlyWeakerThanFormulaNatNormalKKD
LO
.
Modal
.
instStrictlyWeakerThanFormulaNatLogicKKD
source
@[reducible, inline]
abbrev
LO
.
Modal
.
Kripke
.
Frame
.
IsKD
(
F
:
Frame
)
:
Prop
Equations
LO.Modal.Kripke.Frame.IsKD
=
LO.Modal.Kripke.Frame.IsSerial
Instances For
source
@[reducible, inline]
abbrev
LO
.
Modal
.
Kripke
.
FrameClass
.
KD
:
FrameClass
Equations
LO.Modal.Kripke.FrameClass.KD
=
{
F
:
LO.Modal.Kripke.Frame
|
F
.
IsKD
}
Instances For
source
instance
LO
.
Modal
.
Hilbert
.
KD
.
Kripke
.
instSoundNormalNatFormulaFrameClassKD
:
Sound
Hilbert.KD
Kripke.FrameClass.KD
source
instance
LO
.
Modal
.
Hilbert
.
KD
.
Kripke
.
instConsistentFormulaNatNormal
:
Entailment.Consistent
Hilbert.KD
source
instance
LO
.
Modal
.
Hilbert
.
KD
.
Kripke
.
instCanonicalNormalNatKD
:
Kripke.Canonical
Hilbert.KD
Kripke.FrameClass.KD
source
instance
LO
.
Modal
.
Hilbert
.
KD
.
Kripke
.
instCompleteNormalNatFormulaFrameClassKD
:
Complete
Hilbert.KD
Kripke.FrameClass.KD
source
instance
LO
.
Modal
.
Hilbert
.
instStrictlyWeakerThanFormulaNatNormalKKD
:
Hilbert.K
⪱
Hilbert.KD
source
instance
LO
.
Modal
.
instStrictlyWeakerThanFormulaNatLogicKKD
:
Modal.K
⪱
Modal.KD