1 succn_inj 2 eqnP 3 eqnE 4 eqSS 5 nat_irrelevance 6 addnE 7 plusE 8 add0n 9 addSn 10 add1n 11 addn0 12 addnS 13 addSnnS 14 addnCA 15 addnC 16 addn1 17 addnA 18 addnAC 19 addnACA 20 addn_eq0 21 eqn_add2l 22 eqn_add2r 23 addnI 24 addIn 25 addn2 26 add2n 27 addn3 28 add3n 29 addn4 30 add4n 31 subnE 32 minusE 33 sub0n 34 subn0 35 subnn 36 subSS 37 subn1 38 subn2 39 subnDl 40 subnDr 41 addKn 42 addnK 43 subSnn 44 subnDA 45 subnAC 46 subnS 47 subSKn 48 ltnS 49 leq0n 50 ltn0Sn 51 ltn0 52 leqnn 53 ltnSn 54 eq_leq 55 leqnSn 56 leq_pred 57 leqSpred 58 ltn_predK 59 prednK 60 leqNgt 61 ltnNge 62 ltnn 63 leqn0 64 lt0n 65 lt0n_neq0 66 eqn0Ngt 67 neq0_lt0n 68 eqn_leq 69 anti_leq 70 neq_ltn 71 gtn_eqF 72 ltn_eqF 73 leq_eqVlt 74 ltn_neqAle 75 leq_trans 76 leq_ltn_trans 77 ltnW 78 leqW 79 ltn_trans 80 leq_total 81 leP 82 le_irrelevance 83 ltP 84 lt_irrelevance 85 leqP 86 ltnP 87 posnP 88 ltngtP 89 leq_add2l 90 ltn_add2l 91 leq_add2r 92 ltn_add2r 93 leq_add 94 leq_addr 95 leq_addl 96 ltn_addr 97 ltn_addl 98 addn_gt0 99 subn_gt0 100 subn_eq0 101 leq_subLR 102 leq_subr 103 subnKC 104 subnK 105 addnBA 106 subnBA 107 subKn 108 subSn 109 subnSK 110 leq_sub2r 111 leq_sub2l 112 leq_sub 113 ltn_sub2r 114 ltn_sub2l 115 ltn_subRL 116 subn_if_gt 117 max0n 118 maxn0 119 maxnC 120 maxnE 121 maxnAC 122 maxnA 123 maxnCA 124 maxnACA 125 maxn_idPl 126 maxn_idPr 127 maxnn 128 leq_max 129 leq_maxl 130 leq_maxr 131 gtn_max 132 geq_max 133 maxnSS 134 addn_maxl 135 addn_maxr 136 min0n 137 minn0 138 minnC 139 addn_min_max 140 minnE 141 minnAC 142 minnA 143 minnCA 144 minnACA 145 minn_idPl 146 minn_idPr 147 minnn 148 leq_min 149 gtn_min 150 geq_min 151 geq_minl 152 geq_minr 153 addn_minr 154 addn_minl 155 minnSS 156 maxnK 157 maxKn 158 minnK 159 minKn 160 maxn_minl 161 maxn_minr 162 minn_maxl 163 minn_maxr 164 find_ex_minn 165 ex_minnP 166 ex_maxn_subproof 167 ex_maxnP 168 eq_ex_minn 169 eq_ex_maxn 170 iterSr 171 iterS 172 iter_add 173 iteriS 174 iteropS 175 eq_iter 176 eq_iteri 177 eq_iterop 178 multE 179 mulnE 180 mul0n 181 muln0 182 mul1n 183 mulSn 184 mulSnr 185 mulnS 186 mulnSr 187 muln1 188 mulnC 189 mulnDl 190 mulnDr 191 mulnBl 192 mulnBr 193 mulnA 194 mulnCA 195 mulnAC 196 mulnACA 197 muln_eq0 198 muln_eq1 199 muln_gt0 200 leq_pmull 201 leq_pmulr 202 leq_mul2l 203 leq_mul2r 204 leq_mul 205 eqn_mul2l 206 eqn_mul2r 207 leq_pmul2l 208 leq_pmul2r 209 eqn_pmul2l 210 eqn_pmul2r 211 ltn_mul2l 212 ltn_mul2r 213 ltn_pmul2l 214 ltn_pmul2r 215 ltn_Pmull 216 ltn_Pmulr 217 ltn_mul 218 maxn_mulr 219 maxn_mull 220 minn_mulr 221 minn_mull 222 expnE 223 expn0 224 expn1 225 expnS 226 expnSr 227 exp0n 228 exp1n 229 expnD 230 expnMn 231 expnM 232 expnAC 233 expn_gt0 234 expn_eq0 235 ltn_expl 236 leq_exp2l 237 ltn_exp2l 238 eqn_exp2l 239 expnI 240 leq_pexp2l 241 ltn_pexp2l 242 ltn_exp2r 243 leq_exp2r 244 eqn_exp2r 245 expIn 246 factE 247 fact0 248 factS 249 fact_gt0 250 leq_b1 251 addn_negb 252 eqb0 253 lt0b 254 sub1b 255 mulnb 256 oddb 257 odd_add 258 odd_sub 259 odd_opp 260 odd_mul 261 odd_exp 262 doubleE 263 double0 264 doubleS 265 addnn 266 mul2n 267 muln2 268 doubleD 269 doubleB 270 leq_double 271 ltn_double 272 ltn_Sdouble 273 leq_Sdouble 274 odd_double 275 double_gt0 276 double_eq0 277 doubleMl 278 doubleMr 279 doubleK 280 uphalf_double 281 uphalf_half 282 odd_double_half 283 half_bit_double 284 halfD 285 half_leq 286 half_gt0 287 mulnn 288 sqrnD 289 sqrn_sub 290 sqrnD_sub 291 subn_sqr 292 ltn_sqr 293 leq_sqr 294 sqrn_gt0 295 eqn_sqr 296 sqrn_inj 297 leqifP 298 leqif_refl 299 leqif_trans 300 monotone_leqif 301 leqif_geq 302 leqif_eq 303 geq_leqif 304 ltn_leqif 305 leqif_add 306 leqif_mul 307 nat_Cauchy 308 nat_AGM2 309 addE 310 doubleE 311 add_mulE 312 mulE 313 mul_expE 314 expE 315 oddE 316 eq_binP 317 bin_of_natK 318 nat_of_binK 319 nat_of_succ_gt0 320 nat_of_addn_gt0 321 nat_of_add_bin 322 nat_of_mul_bin 323 nat_of_exp_bin 324 nat_semi_ring 325 nat_semi_morph 326 nat_power_theory