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ProvabilityLogic
.
Logic
.
GLBetaMinus
.
Basic
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source
Imports
Init
ProvabilityLogic.Formula.Countable
ProvabilityLogic.Kripke.FiniteLineModel
ProvabilityLogic.Logic.GL.Letterless
ProvabilityLogic.ProvabilityLogic.GL.Uniform
ProvabilityLogic.ToFoundation.FirstOrder.Basic.Compactness
ProvabilityLogic.ToFoundation.Vorspiel.Set.Basic
Imported by
TBBMinus
LogicGLBetaMinus
source
@[reducible, inline]
noncomputable abbrev
TBBMinus
{
α
:
Type
u_1}
[
DecidableEq
α
]
(
X
:
Set
ℕ
)
(
X_finite
:
X
.
Finite
:= by grind)
:
Formula
α
Equations
TBBMinus
X
X_finite
=
∼
⋀
Finset.image
TBB
X_finite
.
toFinset
Instances For
source
@[reducible, inline]
abbrev
LogicGLBetaMinus
{
α
:
Type
u_1}
[
DecidableEq
α
]
(
X
:
Set
ℕ
)
(
X_cofinite
:
X
ᶜ
.
Finite
:= by grind)
:
Logic
α
Equations
LogicGLBetaMinus
X
X_cofinite
=
(
LogicGL
+ᴸ
{
TBBMinus
X
ᶜ
X_cofinite
}
.
lift
)
Instances For