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LeanPool.NFWeakPartition.Certificates.NominalWPPReplayChunk016Compact001Block006

Nominal proof certificates grouped in dependency order.

Certificates from NominalWPPReplayChunk016Compact001Part026.

Checked nominal proof certificate identified upstream as g_sifrndv.

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    Certificates from NominalWPPReplayChunk016Compact001Part027.

    Checked nominal proof certificate identified upstream as g_siwendv.

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      noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecutcardtypedleastndv (y z : SemanticCore.Var) (D R K : SemanticCore.Class) (q : SemanticCore.Var) (dv_D_q : q ∉ D.fv) (dv_D_y : y ∉ D.fv) (dv_D_z : z ∉ D.fv) (dv_K_q : q ∉ K.fv) (dv_K_y : y ∉ K.fv) (dv_K_z : z ∉ K.fv) (dv_R_q : q ∉ R.fv) (dv_R_y : y ∉ R.fv) (dv_R_z : z ∉ R.fv) (dv_q_y : q ≠ y) (dv_q_z : q ≠ z) (dv_y_z : y ≠ z) (hyp_wecutcardtypedleastndv_1 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCwe D)) (hyp_wecutcardtypedleastndv_2 : Nominal.NPrf (SemanticCore.Wff.classMem K Compiler.CompactSourceSyntax.synCvv)) :
      Nominal.NPrf ((Compiler.CompactSourceSyntax.synWrex q (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)) (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCnc (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv q))))))) K)).imp (Compiler.CompactSourceSyntax.synWrex y (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCnc (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv y))))))) K) (Compiler.CompactSourceSyntax.synWral z (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)) ((SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCnc (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv z))))))) K).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv y) (Compiler.CompactSourceSyntax.synCsi (Compiler.CompactSourceSyntax.synCsi R)) (SemanticCore.Class.cv z)))))))

      Checked nominal proof certificate identified upstream as g_wecutcardtypedleastndv.

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        Certificates from NominalWPPReplayChunk016Compact001Part028.

        noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecuttypednclecndv (y z : SemanticCore.Var) (D R : SemanticCore.Class) (dv_D_y : y ∉ D.fv) (dv_D_z : z ∉ D.fv) (dv_R_y : y ∉ R.fv) (dv_R_z : z ∉ R.fv) (dv_y_z : y ≠ z) (hyp_wecuttypednclecndv_1 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCwe D)) :

        Checked nominal proof certificate identified upstream as g_wecuttypednclecndv.

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          noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecutcardtypedcardleastndv (y z : SemanticCore.Var) (D R K : SemanticCore.Class) (q : SemanticCore.Var) (dv_D_q : q ∉ D.fv) (dv_D_y : y ∉ D.fv) (dv_D_z : z ∉ D.fv) (dv_K_q : q ∉ K.fv) (dv_K_y : y ∉ K.fv) (dv_K_z : z ∉ K.fv) (dv_R_q : q ∉ R.fv) (dv_R_y : y ∉ R.fv) (dv_R_z : z ∉ R.fv) (dv_q_y : q ≠ y) (dv_q_z : q ≠ z) (dv_y_z : y ≠ z) (hyp_wecutcardtypedcardleastndv_1 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCwe D)) (hyp_wecutcardtypedcardleastndv_2 : Nominal.NPrf (SemanticCore.Wff.classMem K Compiler.CompactSourceSyntax.synCvv)) :
          Nominal.NPrf ((Compiler.CompactSourceSyntax.synWrex q (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)) (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCnc (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv q))))))) K)).imp (Compiler.CompactSourceSyntax.synWrex y (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCnc (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv y))))))) K) (Compiler.CompactSourceSyntax.synWral z (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)) ((SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCnc (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv z))))))) K).imp (Compiler.CompactSourceSyntax.synWbr (Compiler.CompactSourceSyntax.synCnc (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv y))))))) Compiler.CompactSourceSyntax.synClec (Compiler.CompactSourceSyntax.synCnc (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv z)))))))))))))

          Checked nominal proof certificate identified upstream as g_wecutcardtypedcardleastndv.

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            Checked nominal proof certificate identified upstream as g_wppreachexndv.

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              Checked nominal proof certificate identified upstream as g_wppcandexndv.

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                Certificates from NominalWPPReplayChunk016Compact001Part029.

                noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecutcardrepleastdndv (y : SemanticCore.Var) (D R : SemanticCore.Class) (k : SemanticCore.Var) (K : SemanticCore.Class) (q : SemanticCore.Var) (dv_D_k : k ∉ D.fv) (dv_D_q : q ∉ D.fv) (dv_D_y : y ∉ D.fv) (dv_K_k : k ∉ K.fv) (dv_K_q : q ∉ K.fv) (dv_K_y : y ∉ K.fv) (dv_R_k : k ∉ R.fv) (dv_R_q : q ∉ R.fv) (dv_R_y : y ∉ R.fv) (dv_k_q : k ≠ q) (dv_k_y : k ≠ y) (dv_q_y : q ≠ y) (hyp_wecutcardrepleastdndv_1 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCwe D)) (hyp_wecutcardrepleastdndv_2 : Nominal.NPrf (SemanticCore.Wff.classMem K Compiler.CompactSourceSyntax.synCvv)) (hyp_wecutcardrepleastdndv_3 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWral k K (Compiler.CompactSourceSyntax.synWrex q (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 D)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv k) (Compiler.CompactSourceSyntax.synCnc (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCuni (SemanticCore.Class.cv q))))))))))) :

                Checked nominal proof certificate identified upstream as g_wecutcardrepleastdndv.

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