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Proofgold Proposition

∀ x0 : ο . (wceq cq (cima cdiv (cxp cz cn))wceq crp (crab (λ x1 . wbr cc0 (cv x1) clt) (λ x1 . cr))(∀ x1 : ι → ο . wceq (cxne x1) (cif (wceq x1 cpnf) cmnf (cif (wceq x1 cmnf) cpnf (cneg x1))))wceq cxad (cmpt2 (λ x1 x2 . cxr) (λ x1 x2 . cxr) (λ x1 x2 . cif (wceq (cv x1) cpnf) (cif (wceq (cv x2) cmnf) cc0 cpnf) (cif (wceq (cv x1) cmnf) (cif (wceq (cv x2) cpnf) cc0 cmnf) (cif (wceq (cv x2) cpnf) cpnf (cif (wceq (cv x2) cmnf) cmnf (co (cv x1) (cv x2) caddc))))))wceq cxmu (cmpt2 (λ x1 x2 . cxr) (λ x1 x2 . cxr) (λ x1 x2 . cif (wo (wceq (cv x1) cc0) (wceq (cv x2) cc0)) cc0 (cif (wo (wo (wa (wbr cc0 (cv x2) clt) (wceq (cv x1) cpnf)) (wa (wbr (cv x2) cc0 clt) (wceq (cv x1) cmnf))) (wo (wa (wbr cc0 (cv x1) clt) (wceq (cv x2) cpnf)) (wa (wbr (cv x1) cc0 clt) (wceq (cv x2) cmnf)))) cpnf (cif (wo (wo (wa (wbr cc0 (cv x2) clt) (wceq (cv x1) cmnf)) (wa (wbr (cv x2) cc0 clt) (wceq (cv x1) cpnf))) (wo (wa (wbr cc0 (cv x1) clt) (wceq (cv x2) cmnf)) (wa (wbr (cv x1) cc0 clt) (wceq (cv x2) cpnf)))) cmnf (co (cv x1) (cv x2) cmul)))))wceq cioo (cmpt2 (λ x1 x2 . cxr) (λ x1 x2 . cxr) (λ x1 x2 . crab (λ x3 . wa (wbr (cv x1) (cv x3) clt) (wbr (cv x3) (cv x2) clt)) (λ x3 . cxr)))wceq cioc (cmpt2 (λ x1 x2 . cxr) (λ x1 x2 . cxr) (λ x1 x2 . crab (λ x3 . wa (wbr (cv x1) (cv x3) clt) (wbr (cv x3) (cv x2) cle)) (λ x3 . cxr)))wceq cico (cmpt2 (λ x1 x2 . cxr) (λ x1 x2 . cxr) (λ x1 x2 . crab (λ x3 . wa (wbr (cv x1) (cv x3) cle) (wbr (cv x3) (cv x2) clt)) (λ x3 . cxr)))wceq cicc (cmpt2 (λ x1 x2 . cxr) (λ x1 x2 . cxr) (λ x1 x2 . crab (λ x3 . wa (wbr (cv x1) (cv x3) cle) (wbr (cv x3) (cv x2) cle)) (λ x3 . cxr)))wceq cfz (cmpt2 (λ x1 x2 . cz) (λ x1 x2 . cz) (λ x1 x2 . crab (λ x3 . wa (wbr (cv x1) (cv x3) cle) (wbr (cv x3) (cv x2) cle)) (λ x3 . cz)))wceq cfzo (cmpt2 (λ x1 x2 . cz) (λ x1 x2 . cz) (λ x1 x2 . co (cv x1) (co (cv x2) c1 cmin) cfz))wceq cfl (cmpt (λ x1 . cr) (λ x1 . crio (λ x2 . wa (wbr (cv x2) (cv x1) cle) (wbr (cv x1) (co (cv x2) c1 caddc) clt)) (λ x2 . cz)))wceq cceil (cmpt (λ x1 . cr) (λ x1 . cneg (cfv (cneg (cv x1)) cfl)))wceq cmo (cmpt2 (λ x1 x2 . cr) (λ x1 x2 . crp) (λ x1 x2 . co (cv x1) (co (cv x2) (cfv (co (cv x1) (cv x2) cdiv) cfl) cmul) cmin))(∀ x1 x2 x3 : ι → ο . wceq (cseq x1 x2 x3) (cima (crdg (cmpt2 (λ x4 x5 . cvv) (λ x4 x5 . cvv) (λ x4 x5 . cop (co (cv x4) c1 caddc) (co (cv x5) (cfv (co (cv x4) c1 caddc) x2) x1))) (cop x3 (cfv x3 x2))) com))wceq cexp (cmpt2 (λ x1 x2 . cc) (λ x1 x2 . cz) (λ x1 x2 . cif (wceq (cv x2) cc0) c1 (cif (wbr cc0 (cv x2) clt) (cfv (cv x2) (cseq cmul (cxp cn (csn (cv x1))) c1)) (co c1 (cfv (cneg (cv x2)) (cseq cmul (cxp cn (csn (cv x1))) c1)) cdiv))))wceq cfa (cun (csn (cop cc0 c1)) (cseq cmul cid c1))wceq cbc (cmpt2 (λ x1 x2 . cn0) (λ x1 x2 . cz) (λ x1 x2 . cif (wcel (cv x2) (co cc0 (cv x1) cfz)) (co (cfv (cv x1) cfa) (co (cfv (co (cv x1) (cv x2) cmin) cfa) (cfv (cv x2) cfa) cmul) cdiv) cc0))x0)x0
type
prop
theory
SetMM
name
df_q__df_rp__df_xneg__df_xadd__df_xmul__df_ioo__df_ioc__df_ico__df_icc__df_fz__df_fzo__df_fl__df_ceil__df_mod__df_seq__df_exp__df_fac__df_bc
proof
PUV1k..
Megalodon
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proofgold address
TMVLS..
creator
36224 PrCmT../c628b..
owner
36224 PrCmT../c628b..
term root
243c6..