Documentation

LeanPool.NFWeakPartition.Certificates.NominalWPPReplayChunk017Compact001Block005

Nominal proof certificates grouped in dependency order.

Certificates from NominalWPPReplayChunk017Compact001Part021.

Certificates from NominalWPPReplayChunk017Compact001Part022.

Checked nominal proof certificate identified upstream as g_hncodecmpsetrefndv.

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    Checked nominal proof certificate identified upstream as g_hncodecutreltargetclndv.

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      Certificates from NominalWPPReplayChunk017Compact001Part023.

      Checked nominal proof certificate identified upstream as g_hncodecmpsetssxpndv.

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        Checked nominal proof certificate identified upstream as g_hwcnbaseclndv.

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          Certificates from NominalWPPReplayChunk017Compact001Part024.

          noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gHncodecomparisontotalndv (x v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) (dv_A_h : h ∉ A.fv) (_dv_A_u : u ∉ A.fv) (_dv_A_v : v ∉ A.fv) (dv_A_x : x ∉ A.fv) (dv_h_u : h ≠ u) (dv_h_v : h ≠ v) (dv_h_x : h ≠ x) (dv_u_x : u ≠ x) (dv_v_x : v ≠ x) :
          Nominal.NPrf (Compiler.CompactSourceSyntax.synW3o (Compiler.CompactSourceSyntax.synWex h (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv h) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))))) (Compiler.CompactSourceSyntax.synWrex x (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synWex h (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv h) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))))) (Compiler.CompactSourceSyntax.synWrex x (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synWex h (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv h) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcn A)) (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synCop (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCkqrel Compiler.CompactSourceSyntax.synClefin) (Compiler.CompactSourceSyntax.synCxp Compiler.CompactSourceSyntax.synC0 Compiler.CompactSourceSyntax.synC0)) Compiler.CompactSourceSyntax.synC0))) Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))))))

          Checked nominal proof certificate identified upstream as g_hncodecomparisontotalndv.

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