thf(ccfv_tp,type,(ccfv : (($i > $o) > (($i > $o) > ($i > $o))))).
thf(ccuz_tp,type,(ccuz : ($i > $o))).
thf(cwcel_tp,type,(cwcel : (($i > $o) > (($i > $o) > $o)))).
thf(ccz_tp,type,(ccz : ($i > $o))).
thf(ccv_tp,type,(ccv : ($i > ($i > $o)))).
thf(ccabs_tp,type,(ccabs : ($i > $o))).
thf(ccc_tp,type,(ccc : ($i > $o))).
thf(ccseq_tp,type,(ccseq : (($i > $o) > (($i > $o) > (($i > $o) > ($i > $o)))))).
thf(ccaddc_tp,type,(ccaddc : ($i > $o))).
thf(ccdm_tp,type,(ccdm : (($i > $o) > ($i > $o)))).
thf(ccli_tp,type,(ccli : ($i > $o))).
thf(cc1_tp,type,(cc1 : ($i > $o))).
thf(ccr_tp,type,(ccr : ($i > $o))).
thf(cwbr_tp,type,(cwbr : (($i > $o) > (($i > $o) > (($i > $o) > $o))))).
thf(cco_tp,type,(cco : (($i > $o) > (($i > $o) > (($i > $o) > ($i > $o)))))).
thf(ccmul_tp,type,(ccmul : ($i > $o))).
thf(ccle_tp,type,(ccle : ($i > $o))).
thf(ccun_tp,type,(ccun : (($i > $o) > (($i > $o) > ($i > $o))))).
thf(cc0_tp,type,(cc0 : ($i > $o))).
thf(ccin_tp,type,(ccin : (($i > $o) > (($i > $o) > ($i > $o))))).
thf(cwss_tp,type,(cwss : (($i > $o) > (($i > $o) > $o)))).
thf(ccfn_tp,type,(ccfn : ($i > $o))).
thf(ccfz_tp,type,(ccfz : ($i > $o))).
thf(ccdif_tp,type,(ccdif : (($i > $o) > (($i > $o) > ($i > $o))))).
thf(ccsu_tp,type,(ccsu : (($i > $o) > (($i > ($i > $o)) > ($i > $o))))).
thf(cwf_tp,type,(cwf : (($i > $o) > (($i > $o) > (($i > $o) > $o))))).
thf(ccc0_tp,type,(ccc0 : ($i > $o))).
thf(ccrp_tp,type,(ccrp : ($i > $o))).
thf(cclt_tp,type,(cclt : ($i > $o))).
thf(ccmin_tp,type,(ccmin : ($i > $o))).
thf(ccmpt_tp,type,(ccmpt : (($i > ($i > $o)) > (($i > ($i > $o)) > ($i > $o))))).
thf(cwrex_tp,type,(cwrex : (($i > $o) > (($i > ($i > $o)) > $o)))).
thf(cwral_tp,type,(cwral : (($i > $o) > (($i > ($i > $o)) > $o)))).
thf(ccvv_tp,type,(ccvv : ($i > $o))).
thf(acvgcmpce_thm,axiom,(! [Xph:$o] : (! [XC:($i > $o)] : (! [XF:($i > $o)] : (! [XG:($i > $o)] : (! [XM:($i > $o)] : (! [XN:($i > $o)] : (! [XZ:($i > $o)] : ((XZ = (ccfv @ XM @ ccuz)) => ((Xph => (cwcel @ XN @ XZ)) => ((! [Xk:$i] : ((Xph & (cwcel @ (ccv @ Xk) @ XZ)) => (cwcel @ (ccfv @ (ccv @ Xk) @ XF) @ ccr))) => ((! [Xk:$i] : ((Xph & (cwcel @ (ccv @ Xk) @ XZ)) => (cwcel @ (ccfv @ (ccv @ Xk) @ XG) @ ccc))) => ((Xph => (cwcel @ (ccseq @ ccaddc @ XF @ XM) @ (ccdm @ ccli))) => ((Xph => (cwcel @ XC @ ccr)) => ((! [Xk:$i] : ((Xph & (cwcel @ (ccv @ Xk) @ (ccfv @ XN @ ccuz))) => (cwbr @ (ccfv @ (ccfv @ (ccv @ Xk) @ XG) @ ccabs) @ (cco @ XC @ (ccfv @ (ccv @ Xk) @ XF) @ ccmul) @ ccle))) => (Xph => (cwcel @ (ccseq @ ccaddc @ XG @ XM) @ (ccdm @ ccli)))))))))))))))))).
thf(asyl6eleqr_thm,axiom,(! [Xph:$o] : (! [XA2:($i > $o)] : (! [XB2:($i > $o)] : (! [XC:($i > $o)] : ((Xph => (cwcel @ XA2 @ XB2)) => ((XC = XB2) => (Xph => (cwcel @ XA2 @ XC))))))))).
thf(asyl_thm,axiom,(! [Xph:$o] : (! [Xps:$o] : (! [Xch:$o] : ((Xph => Xps) => ((Xps => Xch) => (Xph => Xch))))))).
thf(auzid_thm,axiom,(! [XM:($i > $o)] : ((cwcel @ XM @ ccz) => (cwcel @ XM @ (ccfv @ XM @ ccuz))))).
thf(aeqeltrd_thm,axiom,(! [Xph:$o] : (! [XA2:($i > $o)] : (! [XB2:($i > $o)] : (! [XC:($i > $o)] : ((Xph => (XA2 = XB2)) => ((Xph => (cwcel @ XB2 @ XC)) => (Xph => (cwcel @ XA2 @ XC))))))))).
thf(aabscld_thm,axiom,(! [Xph:$o] : (! [XA2:($i > $o)] : ((Xph => (cwcel @ XA2 @ ccc)) => (Xph => (cwcel @ (ccfv @ XA2 @ ccabs) @ ccr)))))).
thf(a_1red_thm,axiom,(! [Xph:$o] : (Xph => (cwcel @ cc1 @ ccr)))).
thf(asylan2br_thm,axiom,(! [Xph:$o] : (! [Xps:$o] : (! [Xch:$o] : (! [Xth:$o] : ((Xch <=> Xph) => (((Xps & Xch) => Xth) => ((Xps & Xph) => Xth)))))))).
thf(aeleq2i_thm,axiom,(! [XA2:($i > $o)] : (! [XB2:($i > $o)] : (! [XC:($i > $o)] : ((XA2 = XB2) => ((cwcel @ XC @ XA2) <=> (cwcel @ XC @ XB2))))))).
thf(abreqtrrd_thm,axiom,(! [Xph:$o] : (! [XA2:($i > $o)] : (! [XB2:($i > $o)] : (! [XC:($i > $o)] : (! [XR:($i > $o)] : ((Xph => (cwbr @ XA2 @ XB2 @ XR)) => ((Xph => (XC = XB2)) => (Xph => (cwbr @ XA2 @ XC @ XR)))))))))).
thf(asyl2anc_thm,axiom,(! [Xph:$o] : (! [Xps:$o] : (! [Xch:$o] : (! [Xth:$o] : ((Xph => Xps) => ((Xph => Xch) => (((Xps & Xch) => Xth) => (Xph => Xth))))))))).
thf(aeqcomd_thm,axiom,(! [Xph:$o] : (! [XA2:($i > $o)] : (! [XB2:($i > $o)] : ((Xph => (XA2 = XB2)) => (Xph => (XB2 = XA2))))))).
thf(aeqle_thm,axiom,(! [XA2:($i > $o)] : (! [XB2:($i > $o)] : (((cwcel @ XA2 @ ccr) & (XA2 = XB2)) => (cwbr @ XA2 @ XB2 @ ccle))))).
thf(amulid2d_thm,axiom,(! [Xph:$o] : (! [XA2:($i > $o)] : ((Xph => (cwcel @ XA2 @ ccc)) => (Xph => ((cco @ cc1 @ XA2 @ ccmul) = XA2)))))).
thf(arecnd_thm,axiom,(! [Xph:$o] : (! [XA2:($i > $o)] : ((Xph => (cwcel @ XA2 @ ccr)) => (Xph => (cwcel @ XA2 @ ccc)))))).
thf(cabscvgcvg_conj,conjecture,(! [Xph:$o] : (! [XF:($i > $o)] : (! [XG:($i > $o)] : (! [XM:($i > $o)] : (! [XZ:($i > $o)] : ((XZ = (ccfv @ XM @ ccuz)) => ((Xph => (cwcel @ XM @ ccz)) => ((! [Xk:$i] : ((Xph & (cwcel @ (ccv @ Xk) @ XZ)) => ((ccfv @ (ccv @ Xk) @ XF) = (ccfv @ (ccfv @ (ccv @ Xk) @ XG) @ ccabs)))) => ((! [Xk:$i] : ((Xph & (cwcel @ (ccv @ Xk) @ XZ)) => (cwcel @ (ccfv @ (ccv @ Xk) @ XG) @ ccc))) => ((Xph => (cwcel @ (ccseq @ ccaddc @ XF @ XM) @ (ccdm @ ccli))) => (Xph => (cwcel @ (ccseq @ ccaddc @ XG @ XM) @ (ccdm @ ccli)))))))))))))).
