Documentation

Foundation.FirstOrder.Basic.Calculus

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theorem LO.FirstOrder.shifts_emb {L : LO.FirstOrder.Language} {n : } (Γ : List (LO.FirstOrder.Semisentence L n)) :
LO.FirstOrder.shifts (List.map (LO.FirstOrder.Rew.emb.hom) Γ) = List.map (LO.FirstOrder.Rew.emb.hom) Γ
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    • LO.FirstOrder.instOneSidedSyntacticFormulaTheory = { Derivation := LO.FirstOrder.Derivation }
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        unsafe def LO.FirstOrder.Derivation.repr {L : LO.FirstOrder.Language} {T : LO.FirstOrder.Theory L} [(k : ) → ToString (L.Func k)] [(k : ) → ToString (L.Rel k)] {Δ : LO.FirstOrder.Sequent L} :
        T ΔString
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            theorem LO.FirstOrder.Derivation.ne_step_max (n : ) (m : ) :
            n max n m + 1
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            theorem LO.FirstOrder.Derivation.ne_step_max' (n : ) (m : ) :
            n max m n + 1
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                          An auxiliary structure to provide systems of provability of sentence.

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