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Proofgold Proposition

∀ x0 : ο . (wceq cpreset (cab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wral (λ x4 . wral (λ x5 . wral (λ x6 . wa (wbr (cv x4) (cv x4) (cv x3)) (wa (wbr (cv x4) (cv x5) (cv x3)) (wbr (cv x5) (cv x6) (cv x3))wbr (cv x4) (cv x6) (cv x3))) (λ x6 . cv x2)) (λ x5 . cv x2)) (λ x4 . cv x2)) (cfv (cv x1) cple)) (cfv (cv x1) cbs)))wceq cdrs (crab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wa (wne (cv x2) c0) (wral (λ x4 . wral (λ x5 . wrex (λ x6 . wa (wbr (cv x4) (cv x6) (cv x3)) (wbr (cv x5) (cv x6) (cv x3))) (λ x6 . cv x2)) (λ x5 . cv x2)) (λ x4 . cv x2))) (cfv (cv x1) cple)) (cfv (cv x1) cbs)) (λ x1 . cpreset))wceq cpo (cab (λ x1 . wex (λ x2 . wex (λ x3 . w3a (wceq (cv x2) (cfv (cv x1) cbs)) (wceq (cv x3) (cfv (cv x1) cple)) (wral (λ x4 . wral (λ x5 . wral (λ x6 . w3a (wbr (cv x4) (cv x4) (cv x3)) (wa (wbr (cv x4) (cv x5) (cv x3)) (wbr (cv x5) (cv x4) (cv x3))wceq (cv x4) (cv x5)) (wa (wbr (cv x4) (cv x5) (cv x3)) (wbr (cv x5) (cv x6) (cv x3))wbr (cv x4) (cv x6) (cv x3))) (λ x6 . cv x2)) (λ x5 . cv x2)) (λ x4 . cv x2))))))wceq cplt (cmpt (λ x1 . cvv) (λ x1 . cdif (cfv (cv x1) cple) cid))wceq club (cmpt (λ x1 . cvv) (λ x1 . cres (cmpt (λ x2 . cpw (cfv (cv x1) cbs)) (λ x2 . crio (λ x3 . wa (wral (λ x4 . wbr (cv x4) (cv x3) (cfv (cv x1) cple)) (λ x4 . cv x2)) (wral (λ x4 . wral (λ x5 . wbr (cv x5) (cv x4) (cfv (cv x1) cple)) (λ x5 . cv x2)wbr (cv x3) (cv x4) (cfv (cv x1) cple)) (λ x4 . cfv (cv x1) cbs))) (λ x3 . cfv (cv x1) cbs))) (cab (λ x2 . wreu (λ x3 . wa (wral (λ x4 . wbr (cv x4) (cv x3) (cfv (cv x1) cple)) (λ x4 . cv x2)) (wral (λ x4 . wral (λ x5 . wbr (cv x5) (cv x4) (cfv (cv x1) cple)) (λ x5 . cv x2)wbr (cv x3) (cv x4) (cfv (cv x1) cple)) (λ x4 . cfv (cv x1) cbs))) (λ x3 . cfv (cv x1) cbs)))))wceq cglb (cmpt (λ x1 . cvv) (λ x1 . cres (cmpt (λ x2 . cpw (cfv (cv x1) cbs)) (λ x2 . crio (λ x3 . wa (wral (λ x4 . wbr (cv x3) (cv x4) (cfv (cv x1) cple)) (λ x4 . cv x2)) (wral (λ x4 . wral (λ x5 . wbr (cv x4) (cv x5) (cfv (cv x1) cple)) (λ x5 . cv x2)wbr (cv x4) (cv x3) (cfv (cv x1) cple)) (λ x4 . cfv (cv x1) cbs))) (λ x3 . cfv (cv x1) cbs))) (cab (λ x2 . wreu (λ x3 . wa (wral (λ x4 . wbr (cv x3) (cv x4) (cfv (cv x1) cple)) (λ x4 . cv x2)) (wral (λ x4 . wral (λ x5 . wbr (cv x4) (cv x5) (cfv (cv x1) cple)) (λ x5 . cv x2)wbr (cv x4) (cv x3) (cfv (cv x1) cple)) (λ x4 . cfv (cv x1) cbs))) (λ x3 . cfv (cv x1) cbs)))))wceq cjn (cmpt (λ x1 . cvv) (λ x1 . coprab (λ x2 x3 x4 . wbr (cpr (cv x2) (cv x3)) (cv x4) (cfv (cv x1) club))))wceq cmee (cmpt (λ x1 . cvv) (λ x1 . coprab (λ x2 x3 x4 . wbr (cpr (cv x2) (cv x3)) (cv x4) (cfv (cv x1) cglb))))wceq ctos (crab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wral (λ x4 . wral (λ x5 . wo (wbr (cv x4) (cv x5) (cv x3)) (wbr (cv x5) (cv x4) (cv x3))) (λ x5 . cv x2)) (λ x4 . cv x2)) (cfv (cv x1) cple)) (cfv (cv x1) cbs)) (λ x1 . cpo))wceq cp0 (cmpt (λ x1 . cvv) (λ x1 . cfv (cfv (cv x1) cbs) (cfv (cv x1) cglb)))wceq cp1 (cmpt (λ x1 . cvv) (λ x1 . cfv (cfv (cv x1) cbs) (cfv (cv x1) club)))wceq clat (crab (λ x1 . wa (wceq (cdm (cfv (cv x1) cjn)) (cxp (cfv (cv x1) cbs) (cfv (cv x1) cbs))) (wceq (cdm (cfv (cv x1) cmee)) (cxp (cfv (cv x1) cbs) (cfv (cv x1) cbs)))) (λ x1 . cpo))wceq ccla (crab (λ x1 . wa (wceq (cdm (cfv (cv x1) club)) (cpw (cfv (cv x1) cbs))) (wceq (cdm (cfv (cv x1) cglb)) (cpw (cfv (cv x1) cbs)))) (λ x1 . cpo))wceq codu (cmpt (λ x1 . cvv) (λ x1 . co (cv x1) (cop (cfv cnx cple) (ccnv (cfv (cv x1) cple))) csts))wceq cipo (cmpt (λ x1 . cvv) (λ x1 . csb (copab (λ x2 x3 . wa (wss (cpr (cv x2) (cv x3)) (cv x1)) (wss (cv x2) (cv x3)))) (λ x2 . cun (cpr (cop (cfv cnx cbs) (cv x1)) (cop (cfv cnx cts) (cfv (cv x2) cordt))) (cpr (cop (cfv cnx cple) (cv x2)) (cop (cfv cnx coc) (cmpt (λ x3 . cv x1) (λ x3 . cuni (crab (λ x4 . wceq (cin (cv x4) (cv x3)) c0) (λ x4 . cv x1)))))))))wceq cdlat (crab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wsbc (λ x4 . wral (λ x5 . wral (λ x6 . wral (λ x7 . wceq (co (cv x5) (co (cv x6) (cv x7) (cv x3)) (cv x4)) (co (co (cv x5) (cv x6) (cv x4)) (co (cv x5) (cv x7) (cv x4)) (cv x3))) (λ x7 . cv x2)) (λ x6 . cv x2)) (λ x5 . cv x2)) (cfv (cv x1) cmee)) (cfv (cv x1) cjn)) (cfv (cv x1) cbs)) (λ x1 . clat))wceq cps (cab (λ x1 . w3a (wrel (cv x1)) (wss (ccom (cv x1) (cv x1)) (cv x1)) (wceq (cin (cv x1) (ccnv (cv x1))) (cres cid (cuni (cuni (cv x1)))))))wceq ctsr (crab (λ x1 . wss (cxp (cdm (cv x1)) (cdm (cv x1))) (cun (cv x1) (ccnv (cv x1)))) (λ x1 . cps))x0)x0
type
prop
theory
SetMM
name
df_preset__df_drs__df_poset__df_plt__df_lub__df_glb__df_join__df_meet__df_toset__df_p0__df_p1__df_lat__df_clat__df_odu__df_ipo__df_dlat__df_ps__df_tsr
proof
PUV1k..
Megalodon
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proofgold address
TMHiv..
creator
36224 PrCmT../14e17..
owner
36224 PrCmT../14e17..
term root
27dec..