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Proofgold Proposition

∀ x0 : ο . (wceq cdip (cmpt (λ x1 . cnv) (λ x1 . cmpt2 (λ x2 x3 . cfv (cv x1) cba) (λ x2 x3 . cfv (cv x1) cba) (λ x2 x3 . co (csu (co c1 c4 cfz) (λ x4 . co (co ci (cv x4) cexp) (co (cfv (co (cv x2) (co (co ci (cv x4) cexp) (cv x3) (cfv (cv x1) cns)) (cfv (cv x1) cpv)) (cfv (cv x1) cnmcv)) c2 cexp) cmul)) c4 cdiv)))wceq css (cmpt (λ x1 . cnv) (λ x1 . crab (λ x2 . w3a (wss (cfv (cv x2) cpv) (cfv (cv x1) cpv)) (wss (cfv (cv x2) cns) (cfv (cv x1) cns)) (wss (cfv (cv x2) cnmcv) (cfv (cv x1) cnmcv))) (λ x2 . cnv)))wceq clno (cmpt2 (λ x1 x2 . cnv) (λ x1 x2 . cnv) (λ x1 x2 . crab (λ x3 . wral (λ x4 . wral (λ x5 . wral (λ x6 . wceq (cfv (co (co (cv x4) (cv x5) (cfv (cv x1) cns)) (cv x6) (cfv (cv x1) cpv)) (cv x3)) (co (co (cv x4) (cfv (cv x5) (cv x3)) (cfv (cv x2) cns)) (cfv (cv x6) (cv x3)) (cfv (cv x2) cpv))) (λ x6 . cfv (cv x1) cba)) (λ x5 . cfv (cv x1) cba)) (λ x4 . cc)) (λ x3 . co (cfv (cv x2) cba) (cfv (cv x1) cba) cmap)))wceq cnmoo (cmpt2 (λ x1 x2 . cnv) (λ x1 x2 . cnv) (λ x1 x2 . cmpt (λ x3 . co (cfv (cv x2) cba) (cfv (cv x1) cba) cmap) (λ x3 . csup (cab (λ x4 . wrex (λ x5 . wa (wbr (cfv (cv x5) (cfv (cv x1) cnmcv)) c1 cle) (wceq (cv x4) (cfv (cfv (cv x5) (cv x3)) (cfv (cv x2) cnmcv)))) (λ x5 . cfv (cv x1) cba))) cxr clt)))wceq cblo (cmpt2 (λ x1 x2 . cnv) (λ x1 x2 . cnv) (λ x1 x2 . crab (λ x3 . wbr (cfv (cv x3) (co (cv x1) (cv x2) cnmoo)) cpnf clt) (λ x3 . co (cv x1) (cv x2) clno)))wceq c0o (cmpt2 (λ x1 x2 . cnv) (λ x1 x2 . cnv) (λ x1 x2 . cxp (cfv (cv x1) cba) (csn (cfv (cv x2) cn0v))))wceq caj (cmpt2 (λ x1 x2 . cnv) (λ x1 x2 . cnv) (λ x1 x2 . copab (λ x3 x4 . w3a (wf (cfv (cv x1) cba) (cfv (cv x2) cba) (cv x3)) (wf (cfv (cv x2) cba) (cfv (cv x1) cba) (cv x4)) (wral (λ x5 . wral (λ x6 . wceq (co (cfv (cv x5) (cv x3)) (cv x6) (cfv (cv x2) cdip)) (co (cv x5) (cfv (cv x6) (cv x4)) (cfv (cv x1) cdip))) (λ x6 . cfv (cv x2) cba)) (λ x5 . cfv (cv x1) cba)))))wceq chmo (cmpt (λ x1 . cnv) (λ x1 . crab (λ x2 . wceq (cfv (cv x2) (co (cv x1) (cv x1) caj)) (cv x2)) (λ x2 . cdm (co (cv x1) (cv x1) caj))))wceq ccphlo (cin cnv (coprab (λ x1 x2 x3 . wral (λ x4 . wral (λ x5 . wceq (co (co (cfv (co (cv x4) (cv x5) (cv x1)) (cv x3)) c2 cexp) (co (cfv (co (cv x4) (co (cneg c1) (cv x5) (cv x2)) (cv x1)) (cv x3)) c2 cexp) caddc) (co c2 (co (co (cfv (cv x4) (cv x3)) c2 cexp) (co (cfv (cv x5) (cv x3)) c2 cexp) caddc) cmul)) (λ x5 . crn (cv x1))) (λ x4 . crn (cv x1)))))wceq ccbn (crab (λ x1 . wcel (cfv (cv x1) cims) (cfv (cfv (cv x1) cba) cms)) (λ x1 . cnv))wceq chlo (cin ccbn ccphlo)wceq cno (cmpt (λ x1 . cdm (cdm csp)) (λ x1 . cfv (co (cv x1) (cv x1) csp) csqrt))wceq chil (cfv (cop (cop cva csm) cno) cba)wceq c0v (cfv (cop (cop cva csm) cno) cn0v)wceq cmv (cmpt2 (λ x1 x2 . chil) (λ x1 x2 . chil) (λ x1 x2 . co (cv x1) (co (cneg c1) (cv x2) csm) cva))wceq chli (copab (λ x1 x2 . wa (wa (wf cn chil (cv x1)) (wcel (cv x2) chil)) (wral (λ x3 . wrex (λ x4 . wral (λ x5 . wbr (cfv (co (cfv (cv x5) (cv x1)) (cv x2) cmv) cno) (cv x3) clt) (λ x5 . cfv (cv x4) cuz)) (λ x4 . cn)) (λ x3 . crp))))wceq ccau (crab (λ x1 . wral (λ x2 . wrex (λ x3 . wral (λ x4 . wbr (cfv (co (cfv (cv x3) (cv x1)) (cfv (cv x4) (cv x1)) cmv) cno) (cv x2) clt) (λ x4 . cfv (cv x3) cuz)) (λ x3 . cn)) (λ x2 . crp)) (λ x1 . co chil cn cmap))wcel chil cvvx0)x0
type
prop
theory
SetMM
name
df_dip__df_ssp__df_lno__df_nmoo__df_blo__df_0o__df_aj__df_hmo__df_ph__df_cbn__df_hlo__df_hnorm__df_hba__df_h0v__df_hvsub__df_hlim__df_hcau__ax_hilex
proof
PUV1k..
Megalodon
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proofgold address
TMMwN..
creator
36224 PrCmT../53926..
owner
36224 PrCmT../53926..
term root
ab248..