Documentation

Foundation.Modal.Kripke.Closure

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theorem LO.Modal.Kripke.Frame.RelReflTransGen.single {F : Frame} {x y : F.World} (hxy : x y) :
x ≺^* y
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theorem LO.Modal.Kripke.Frame.RelReflTransGen.refl {F : Frame} {x : F.World} :
x ≺^* x
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theorem LO.Modal.Kripke.Frame.TransitiveReflexiveClosure.single {F : Frame} {x y : F.World} (hxy : x y) :
F^*.Rel x y
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abbrev LO.Modal.Kripke.Frame.RelTransGen {F : Frame} :
_root_.Rel F.World F.World
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theorem LO.Modal.Kripke.Frame.RelTransGen.single {F : Frame} {x y : F.World} (hxy : x y) :
x ≺^+ y
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theorem LO.Modal.Kripke.Frame.TransitiveClosure.single {F : Frame} {x y : F.World} (hxy : x y) :
F^+.Rel x y
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abbrev LO.Modal.Kripke.Frame.RelReflGen {F : Frame} :
_root_.Rel F.World F.World
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