Documentation
Foundation
.
Modal
.
Kripke
.
Logic
.
KB5
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source
Imports
Init
Foundation.Modal.Kripke.AxiomGeach
Foundation.Modal.Kripke.Hilbert
Imported by
LO
.
Modal
.
Kripke
.
Frame
.
IsKB5
LO
.
Modal
.
Kripke
.
FrameClass
.
KB5
LO
.
Modal
.
instSoundLogicNatFormulaFrameClassKB5KB5
LO
.
Modal
.
instConsistentFormulaNatLogicKB5
LO
.
Modal
.
instCanonicalLogicNatKB5KB5
LO
.
Modal
.
instCompleteLogicNatFormulaFrameClassKB5KB5
source
class
LO
.
Modal
.
Kripke
.
Frame
.
IsKB5
(
F
:
Frame
)
extends
Std.Symm
F
.
Rel
,
IsRightEuclidean
F
.
Rel
:
Prop
symm
(
a
b
:
F
.
World
)
:
F
.
Rel
a
b
→
F
.
Rel
b
a
reucl
:
RightEuclidean
F
.
Rel
Instances
source
@[reducible, inline]
abbrev
LO
.
Modal
.
Kripke
.
FrameClass
.
KB5
:
FrameClass
Equations
LO.Modal.Kripke.FrameClass.KB5
=
{
F
:
LO.Modal.Kripke.Frame
|
F
.
IsKB5
}
Instances For
source
instance
LO
.
Modal
.
instSoundLogicNatFormulaFrameClassKB5KB5
:
Sound
Modal.KB5
Kripke.FrameClass.KB5
source
instance
LO
.
Modal
.
instConsistentFormulaNatLogicKB5
:
Entailment.Consistent
Modal.KB5
source
instance
LO
.
Modal
.
instCanonicalLogicNatKB5KB5
:
Kripke.Canonical
Modal.KB5
Kripke.FrameClass.KB5
source
instance
LO
.
Modal
.
instCompleteLogicNatFormulaFrameClassKB5KB5
:
Complete
Modal.KB5
Kripke.FrameClass.KB5