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Proofgold Proposition

∀ x0 : ο . (wceq cmr (coprab (λ x1 x2 x3 . wa (wa (wcel (cv x1) cnr) (wcel (cv x2) cnr)) (wex (λ x4 . wex (λ x5 . wex (λ x6 . wex (λ x7 . wa (wa (wceq (cv x1) (cec (cop (cv x4) (cv x5)) cer)) (wceq (cv x2) (cec (cop (cv x6) (cv x7)) cer))) (wceq (cv x3) (cec (cop (co (co (cv x4) (cv x6) cmp) (co (cv x5) (cv x7) cmp) cpp) (co (co (cv x4) (cv x7) cmp) (co (cv x5) (cv x6) cmp) cpp)) cer)))))))))wceq cltr (copab (λ x1 x2 . wa (wa (wcel (cv x1) cnr) (wcel (cv x2) cnr)) (wex (λ x3 . wex (λ x4 . wex (λ x5 . wex (λ x6 . wa (wa (wceq (cv x1) (cec (cop (cv x3) (cv x4)) cer)) (wceq (cv x2) (cec (cop (cv x5) (cv x6)) cer))) (wbr (co (cv x3) (cv x6) cpp) (co (cv x4) (cv x5) cpp) cltp))))))))wceq c0r (cec (cop c1p c1p) cer)wceq c1r (cec (cop (co c1p c1p cpp) c1p) cer)wceq cm1r (cec (cop c1p (co c1p c1p cpp)) cer)wceq cc (cxp cnr cnr)wceq cc0 (cop c0r c0r)wceq c1 (cop c1r c0r)wceq ci (cop c0r c1r)wceq cr (cxp cnr (csn c0r))wceq caddc (coprab (λ x1 x2 x3 . wa (wa (wcel (cv x1) cc) (wcel (cv x2) cc)) (wex (λ x4 . wex (λ x5 . wex (λ x6 . wex (λ x7 . wa (wa (wceq (cv x1) (cop (cv x4) (cv x5))) (wceq (cv x2) (cop (cv x6) (cv x7)))) (wceq (cv x3) (cop (co (cv x4) (cv x6) cplr) (co (cv x5) (cv x7) cplr))))))))))wceq cmul (coprab (λ x1 x2 x3 . wa (wa (wcel (cv x1) cc) (wcel (cv x2) cc)) (wex (λ x4 . wex (λ x5 . wex (λ x6 . wex (λ x7 . wa (wa (wceq (cv x1) (cop (cv x4) (cv x5))) (wceq (cv x2) (cop (cv x6) (cv x7)))) (wceq (cv x3) (cop (co (co (cv x4) (cv x6) cmr) (co cm1r (co (cv x5) (cv x7) cmr) cmr) cplr) (co (co (cv x5) (cv x6) cmr) (co (cv x4) (cv x7) cmr) cplr))))))))))wceq cltrr (copab (λ x1 x2 . wa (wa (wcel (cv x1) cr) (wcel (cv x2) cr)) (wex (λ x3 . wex (λ x4 . wa (wa (wceq (cv x1) (cop (cv x3) c0r)) (wceq (cv x2) (cop (cv x4) c0r))) (wbr (cv x3) (cv x4) cltr))))))wceq cpnf (cpw (cuni cc))wceq cmnf (cpw cpnf)wceq cxr (cun cr (cpr cpnf cmnf))wceq clt (cun (copab (λ x1 x2 . w3a (wcel (cv x1) cr) (wcel (cv x2) cr) (wbr (cv x1) (cv x2) cltrr))) (cun (cxp (cun cr (csn cmnf)) (csn cpnf)) (cxp (csn cmnf) cr)))wceq cle (cdif (cxp cxr cxr) (ccnv clt))x0)x0
type
prop
theory
SetMM
name
df_mr__df_ltr__df_0r__df_1r__df_m1r__df_c__df_0__df_1__df_i__df_r__df_add__df_mul__df_lt__df_pnf__df_mnf__df_xr__df_ltxr__df_le
proof
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proofgold address
TMc9E..
creator
36224 PrCmT../76b22..
owner
36224 PrCmT../76b22..
term root
f2e37..