Documentation
Foundation
.
Modal
.
Kripke
.
S5
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Imports
Init
Foundation.Modal.Kripke.Preservation
Foundation.Modal.Kripke.Geach.Systems
Imported by
LO
.
Modal
.
Kripke
.
UniversalFrameClass
LO
.
Modal
.
Kripke
.
iff_Universal_ReflexiveEuclidean_validOnFrameClass
LO
.
Modal
.
Hilbert
.
S5
.
Kripke
.
complete_universal
source
@[reducible, inline]
abbrev
LO
.
Modal
.
Kripke
.
UniversalFrameClass
:
LO.Modal.Kripke.FrameClass
Equations
LO.Modal.Kripke.UniversalFrameClass
=
{
F
:
LO.Modal.Kripke.Frame
|
Universal
F
.Rel
}
Instances For
source
theorem
LO
.
Modal
.
Kripke
.
iff_Universal_ReflexiveEuclidean_validOnFrameClass
{φ :
LO.Modal.Formula
ℕ
}
:
LO.Modal.Kripke.UniversalFrameClass
⊧
φ
↔
LO.Modal.Kripke.ReflexiveEuclideanFrameClass
⊧
φ
source
instance
LO
.
Modal
.
Hilbert
.
S5
.
Kripke
.
complete_universal
:
LO.Complete
(
LO.Modal.Hilbert.S5
ℕ
)
LO.Modal.Kripke.UniversalFrameClass
Equations
LO.Modal.Hilbert.S5.Kripke.complete_universal
=
⋯