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LeanPool.NFWeakPartition.Certificates.NominalWPPReplayChunk016Compact001Block004

Nominal proof certificates grouped in dependency order.

Certificates from NominalWPPReplayChunk016Compact001Part016.

noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWeincsegcutorwholendv (x y : SemanticCore.Var) (D R : SemanticCore.Class) (dv_D_y : y ∉ D.fv) (dv_R_y : y ∉ R.fv) (dv_x_y : x ≠ y) (hyp_weincsegcutorwholendv_1 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCwe D)) :

Checked nominal proof certificate identified upstream as g_weincsegcutorwholendv.

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    noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gElwecutisoclterminalndv (x u : SemanticCore.Var) (D R S E K : SemanticCore.Class) (dv_D_u : u ∉ D.fv) (dv_D_x : x ∉ D.fv) (dv_E_u : u ∉ E.fv) (dv_E_x : x ∉ E.fv) (dv_K_u : u ∉ K.fv) (dv_K_x : x ∉ K.fv) (dv_R_u : u ∉ R.fv) (dv_R_x : x ∉ R.fv) (dv_S_u : u ∉ S.fv) (dv_S_x : x ∉ S.fv) (dv_u_x : u ≠ x) :
    Nominal.NPrf ((SemanticCore.Wff.classMem K Compiler.CompactSourceSyntax.synCvv).imp (Compiler.CompactSourceSyntax.synWb (SemanticCore.Wff.classMem K (Compiler.CompactSourceSyntax.synCwecutiso R D S E)) (Compiler.CompactSourceSyntax.synWrex x D (Compiler.CompactSourceSyntax.synWrex u E (Compiler.CompactSourceSyntax.synWiso K (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))) (Compiler.CompactSourceSyntax.synCin S (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))))))

    Checked nominal proof certificate identified upstream as g_elwecutisoclterminalndv.

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      Certificates from NominalWPPReplayChunk016Compact001Part017.

      noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecutisogencodeparts (x : SemanticCore.Var) (D R : SemanticCore.Class) (hyp_wecutisogencodeparts_1 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCwe D)) :

      Checked nominal proof certificate identified upstream as g_wecutisogencodeparts.

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        Certificates from NominalWPPReplayChunk016Compact001Part018.

        noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecutisogenrawcl (A B C : SemanticCore.Class) (f r : SemanticCore.Var) (dv_A_f : f ∉ A.fv) (dv_A_r : r ∉ A.fv) (_dv_B_f : f ∉ B.fv) (dv_B_r : r ∉ B.fv) (_dv_C_f : f ∉ C.fv) (dv_C_r : r ∉ C.fv) (dv_f_r : f ≠ r) :
        Nominal.NPrf ((Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem B (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Wff.classMem C (Compiler.CompactSourceSyntax.synChwcn A))) (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv f) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st B) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st C) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd B) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd C))).imp (Compiler.CompactSourceSyntax.synWrex r Compiler.CompactSourceSyntax.synCvv (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv f) (SemanticCore.Class.cv r) (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f) (SemanticCore.Class.cv r)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))) (Compiler.CompactSourceSyntax.synCdm (SemanticCore.Class.cv f)) (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv f))) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv r) (Compiler.CompactSourceSyntax.synCdm (SemanticCore.Class.cv f))) B) (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f) (SemanticCore.Class.cv r)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))) (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv f))) C)))))

        Checked nominal proof certificate identified upstream as g_wecutisogenrawcl.

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          Checked nominal proof certificate identified upstream as g_wecutisogencodeinran.

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            Checked nominal proof certificate identified upstream as g_wecutisogenrangedecode.

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              Checked nominal proof certificate identified upstream as g_wecutisogencodeambient.

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                Certificates from NominalWPPReplayChunk016Compact001Part019.

                noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecutisogenrawmem (B C D R S : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (r : SemanticCore.Var) :
                Nominal.NPrf ((Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem B (Compiler.CompactSourceSyntax.synCrn (Compiler.CompactSourceSyntax.synChnwcutrel R D))) (SemanticCore.Wff.classMem C (Compiler.CompactSourceSyntax.synCrn (Compiler.CompactSourceSyntax.synChnwcutrel S E)))) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv r) Compiler.CompactSourceSyntax.synCvv) (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv f) (SemanticCore.Class.cv r) (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f) (SemanticCore.Class.cv r)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))) (Compiler.CompactSourceSyntax.synCdm (SemanticCore.Class.cv f)) (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv f))) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv r) (Compiler.CompactSourceSyntax.synCdm (SemanticCore.Class.cv f))) B) (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f) (SemanticCore.Class.cv r)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))) (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv f))) C))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv f) (Compiler.CompactSourceSyntax.synCwecutisogen R D S E)))

                Checked nominal proof certificate identified upstream as g_wecutisogenrawmem.

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                  noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecutisogenrawout (D R S : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (r : SemanticCore.Var) (dv_D_r : r ∉ D.fv) (dv_E_r : r ∉ E.fv) (dv_R_r : r ∉ R.fv) (dv_S_r : r ∉ S.fv) (dv_f_r : f ≠ r) :

                  Checked nominal proof certificate identified upstream as g_wecutisogenrawout.

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                    Certificates from NominalWPPReplayChunk016Compact001Part020.

                    noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecutisogenfixedrev (x y : SemanticCore.Var) (D R S : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (r : SemanticCore.Var) (_dv_D_f : f ∉ D.fv) (_dv_D_r : r ∉ D.fv) (dv_D_x : x ∉ D.fv) (dv_D_y : y ∉ D.fv) (_dv_E_f : f ∉ E.fv) (_dv_E_r : r ∉ E.fv) (dv_E_x : x ∉ E.fv) (dv_E_y : y ∉ E.fv) (_dv_R_f : f ∉ R.fv) (_dv_R_r : r ∉ R.fv) (dv_R_x : x ∉ R.fv) (dv_R_y : y ∉ R.fv) (_dv_S_f : f ∉ S.fv) (_dv_S_r : r ∉ S.fv) (dv_S_x : x ∉ S.fv) (dv_S_y : y ∉ S.fv) (_dv_f_r : f ≠ r) (dv_f_x : f ≠ x) (dv_f_y : f ≠ y) (_dv_r_x : r ≠ x) (_dv_r_y : r ≠ y) (dv_x_y : x ≠ y) :

                    Checked nominal proof certificate identified upstream as g_wecutisogenfixedrev.

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