Nuprl Definition : mFOLRule

mFOLRule() ==
  lbl:Atom × if lbl =a "andI" then Unit
             if lbl =a "impI" then Unit
             if lbl =a "allI" then ℤ
             if lbl =a "existsI" then ℤ
             if lbl =a "orI" then 𝔹
             if lbl =a "hyp" then Unit
             if lbl =a "andE" then ℕ
             if lbl =a "orE" then ℕ
             if lbl =a "impE" then ℕ
             if lbl =a "allE" then hypnum:ℕ × ℤ
             if lbl =a "existsE" then hypnum:ℕ × ℤ
             else Void
             fi

Definitions occuring in Statement : nat: ℕ, ifthenelse: if b then t else f fi , eq_atom: x =a y, bool: 𝔹, unit: Unit, product: x:A × B[x], int: ℤ, token: "$token", atom: Atom, void: Void
FDL editor aliases : mFOLRule
mFOLRule() == lbl:Atom \mtimes{} if lbl =a "andI" then Unit if lbl =a "impI" then Unit if lbl =a "allI" then \mBbbZ{} if lbl =a "existsI" then \mBbbZ{} if lbl =a "orI" then \mBbbB{} if lbl =a "hyp" then Unit if lbl =a "andE" then \mBbbN{} if lbl =a "orE" then \mBbbN{} if lbl =a "impE" then \mBbbN{} if lbl =a "allE" then hypnum:\mBbbN{} \mtimes{} \mBbbZ{} if lbl =a "existsE" then hypnum:\mBbbN{} \mtimes{} \mBbbZ{} else Void fi Date html generated: 2015_07_17-AM-07_54_54 Last ObjectModification: 2014_05_04-PM-00_55_50 Home Index