do map autoload_theory
 [`definition`,`REAL`,`abs`;
  `definition`,`REAL`,`pow`;
  `definition`,`REAL`,`real_div`;
  `definition`,`REAL`,`real_ge`;
  `definition`,`REAL`,`real_gt`;
  `definition`,`REAL`,`real_le`;
  `definition`,`REAL`,`real_of_num`;
  `definition`,`REAL`,`real_sub`;
  `definition`,`REAL`,`sup`;
     `theorem`,`REAL`,`Sum`;
  `definition`,`TRANSC`,`acs`;
  `definition`,`TRANSC`,`asn`;
  `definition`,`TRANSC`,`atn`;
  `definition`,`TRANSC`,`cos`;
  `definition`,`TRANSC`,`exp`;
  `definition`,`TRANSC`,`ln`;
  `definition`,`TRANSC`,`pi`;
  `definition`,`TRANSC`,`root`;
  `definition`,`TRANSC`,`sin`;
  `definition`,`TRANSC`,`sqrt`;
  `definition`,`TRANSC`,`tan`;
     `theorem`,`REAL`,`ABS_0`;
     `theorem`,`REAL`,`ABS_1`;
     `theorem`,`REAL`,`ABS_ABS`;
     `theorem`,`REAL`,`ABS_BOUNDS`;
     `theorem`,`REAL`,`ABS_CASES`;
     `theorem`,`REAL`,`ABS_CIRCLE`;
     `theorem`,`REAL`,`ABS_DIV`;
     `theorem`,`REAL`,`ABS_INV`;
     `theorem`,`REAL`,`ABS_LE`;
     `theorem`,`REAL`,`ABS_LT_MUL2`;
     `theorem`,`REAL`,`ABS_MUL`;
     `theorem`,`REAL`,`ABS_N`;
     `theorem`,`REAL`,`ABS_NEG`;
     `theorem`,`REAL`,`ABS_NZ`;
     `theorem`,`REAL`,`ABS_POS`;
     `theorem`,`REAL`,`ABS_POW2`;
     `theorem`,`REAL`,`ABS_REFL`;
     `theorem`,`REAL`,`ABS_SIGN`;
     `theorem`,`REAL`,`ABS_SIGN2`;
     `theorem`,`REAL`,`ABS_STILLNZ`;
     `theorem`,`REAL`,`ABS_SUB`;
     `theorem`,`REAL`,`ABS_SUB_ABS`;
     `theorem`,`REAL`,`ABS_SUM`;
     `theorem`,`REAL`,`ABS_TRIANGLE`;
     `theorem`,`REAL`,`ABS_ZERO`;
     `theorem`,`REAL`,`POW_0`;
     `theorem`,`REAL`,`POW_1`;
     `theorem`,`REAL`,`POW_2`;
     `theorem`,`REAL`,`POW_2_LE1`;
     `theorem`,`REAL`,`POW_2_LT`;
     `theorem`,`REAL`,`POW_ABS`;
     `theorem`,`REAL`,`POW_ADD`;
     `theorem`,`REAL`,`POW_INV`;
     `theorem`,`REAL`,`POW_LE`;
     `theorem`,`REAL`,`POW_M1`;
     `theorem`,`REAL`,`POW_MINUS1`;
     `theorem`,`REAL`,`POW_MUL`;
     `theorem`,`REAL`,`POW_NZ`;
     `theorem`,`REAL`,`POW_PLUS1`;
     `theorem`,`REAL`,`POW_POS`;
     `theorem`,`REAL`,`POW_POS_LT`;
     `theorem`,`REAL`,`REAL`;
     `theorem`,`REAL`,`REAL_0`;
     `theorem`,`REAL`,`REAL_1`;
     `theorem`,`REAL`,`REAL_10`;
     `theorem`,`REAL`,`REAL_ADD`;
     `theorem`,`REAL`,`REAL_ADD2_SUB2`;
     `theorem`,`REAL`,`REAL_ADD_ASSOC`;
     `theorem`,`REAL`,`REAL_ADD_LID`;
     `theorem`,`REAL`,`REAL_ADD_LID_UNIQ`;
     `theorem`,`REAL`,`REAL_ADD_LINV`;
     `theorem`,`REAL`,`REAL_ADD_RID`;
     `theorem`,`REAL`,`REAL_ADD_RID_UNIQ`;
     `theorem`,`REAL`,`REAL_ADD_RINV`;
     `theorem`,`REAL`,`REAL_ADD_SUB`;
     `theorem`,`REAL`,`REAL_ADD_SUB2`;
     `theorem`,`REAL`,`REAL_ADD_SYM`;
     `theorem`,`REAL`,`REAL_ARCH`;
     `theorem`,`REAL`,`REAL_ARCH_LEAST`;
     `theorem`,`REAL`,`REAL_DIFFSQ`;
     `theorem`,`REAL`,`REAL_DIV_LMUL`;
     `theorem`,`REAL`,`REAL_DIV_LZERO`;
     `theorem`,`REAL`,`REAL_DIV_MUL2`;
     `theorem`,`REAL`,`REAL_DIV_REFL`;
     `theorem`,`REAL`,`REAL_DIV_RMUL`;
     `theorem`,`REAL`,`REAL_DOUBLE`;
     `theorem`,`REAL`,`REAL_DOWN`;
     `theorem`,`REAL`,`REAL_DOWN2`;
     `theorem`,`REAL`,`REAL_ENTIRE`;
     `theorem`,`REAL`,`REAL_EQ_IMP_LE`;
     `theorem`,`REAL`,`REAL_EQ_LADD`;
     `theorem`,`REAL`,`REAL_EQ_LMUL`;
     `theorem`,`REAL`,`REAL_EQ_LMUL2`;
     `theorem`,`REAL`,`REAL_EQ_LMUL_IMP`;
     `theorem`,`REAL`,`REAL_EQ_NEG`;
     `theorem`,`REAL`,`REAL_EQ_RADD`;
     `theorem`,`REAL`,`REAL_EQ_RMUL`;
     `theorem`,`REAL`,`REAL_EQ_RMUL_IMP`;
     `theorem`,`REAL`,`REAL_EQ_SUB_LADD`;
     `theorem`,`REAL`,`REAL_EQ_SUB_RADD`;
     `theorem`,`REAL`,`REAL_FACT_NZ`;
     `theorem`,`REAL`,`REAL_HALF_DOUBLE`;
     `theorem`,`REAL`,`REAL_INJ`;
     `theorem`,`REAL`,`REAL_INV1`;
     `theorem`,`REAL`,`REAL_INVINV`;
     `theorem`,`REAL`,`REAL_INV_1OVER`;
     `theorem`,`REAL`,`REAL_INV_LT1`;
     `theorem`,`REAL`,`REAL_INV_MUL`;
     `theorem`,`REAL`,`REAL_INV_NZ`;
     `theorem`,`REAL`,`REAL_INV_POS`;
     `theorem`,`REAL`,`REAL_LDISTRIB`;
     `theorem`,`REAL`,`REAL_LE`;
     `theorem`,`REAL`,`REAL_LE1_POW2`;
     `theorem`,`REAL`,`REAL_LET_ADD`;
     `theorem`,`REAL`,`REAL_LET_ADD2`;
     `theorem`,`REAL`,`REAL_LET_ANTISYM`;
     `theorem`,`REAL`,`REAL_LET_TOTAL`;
     `theorem`,`REAL`,`REAL_LET_TRANS`;
     `theorem`,`REAL`,`REAL_LE_01`;
     `theorem`,`REAL`,`REAL_LE_ADD`;
     `theorem`,`REAL`,`REAL_LE_ADD2`;
     `theorem`,`REAL`,`REAL_LE_ADDL`;
     `theorem`,`REAL`,`REAL_LE_ADDR`;
     `theorem`,`REAL`,`REAL_LE_ANTISYM`;
     `theorem`,`REAL`,`REAL_LE_DOUBLE`;
     `theorem`,`REAL`,`REAL_LE_LADD`;
     `theorem`,`REAL`,`REAL_LE_LDIV`;
     `theorem`,`REAL`,`REAL_LE_LMUL`;
     `theorem`,`REAL`,`REAL_LE_LMUL_IMP`;
     `theorem`,`REAL`,`REAL_LE_LT`;
     `theorem`,`REAL`,`REAL_LE_MUL`;
     `theorem`,`REAL`,`REAL_LE_MUL2`;
     `theorem`,`REAL`,`REAL_LE_NEG`;
     `theorem`,`REAL`,`REAL_LE_NEGL`;
     `theorem`,`REAL`,`REAL_LE_NEGR`;
     `theorem`,`REAL`,`REAL_LE_NEGTOTAL`;
     `theorem`,`REAL`,`REAL_LE_POW2`;
     `theorem`,`REAL`,`REAL_LE_RADD`;
     `theorem`,`REAL`,`REAL_LE_RDIV`;
     `theorem`,`REAL`,`REAL_LE_REFL`;
     `theorem`,`REAL`,`REAL_LE_RMUL`;
     `theorem`,`REAL`,`REAL_LE_RMUL_IMP`;
     `theorem`,`REAL`,`REAL_LE_SQUARE`;
     `theorem`,`REAL`,`REAL_LE_SUB_LADD`;
     `theorem`,`REAL`,`REAL_LE_SUB_RADD`;
     `theorem`,`REAL`,`REAL_LE_TOTAL`;
     `theorem`,`REAL`,`REAL_LE_TRANS`;
     `theorem`,`REAL`,`REAL_LINV_UNIQ`;
     `theorem`,`REAL`,`REAL_LNEG_UNIQ`;
     `theorem`,`REAL`,`REAL_LT`;
     `theorem`,`REAL`,`REAL_LT1_POW2`;
     `theorem`,`REAL`,`REAL_LTE_ADD`;
     `theorem`,`REAL`,`REAL_LTE_ADD2`;
     `theorem`,`REAL`,`REAL_LTE_ANTSYM`;
     `theorem`,`REAL`,`REAL_LTE_TOTAL`;
     `theorem`,`REAL`,`REAL_LTE_TRANS`;
     `theorem`,`REAL`,`REAL_LT_01`;
     `theorem`,`REAL`,`REAL_LT_1`;
     `theorem`,`REAL`,`REAL_LT_ADD`;
     `theorem`,`REAL`,`REAL_LT_ADD1`;
     `theorem`,`REAL`,`REAL_LT_ADD2`;
     `theorem`,`REAL`,`REAL_LT_ADDL`;
     `theorem`,`REAL`,`REAL_LT_ADDNEG`;
     `theorem`,`REAL`,`REAL_LT_ADDNEG2`;
     `theorem`,`REAL`,`REAL_LT_ADDR`;
     `theorem`,`REAL`,`REAL_LT_ADD_SUB`;
     `theorem`,`REAL`,`REAL_LT_ANTISYM`;
     `theorem`,`REAL`,`REAL_LT_FRACTION`;
     `theorem`,`REAL`,`REAL_LT_FRACTION_0`;
     `theorem`,`REAL`,`REAL_LT_GT`;
     `theorem`,`REAL`,`REAL_LT_HALF1`;
     `theorem`,`REAL`,`REAL_LT_HALF2`;
     `theorem`,`REAL`,`REAL_LT_IADD`;
     `theorem`,`REAL`,`REAL_LT_IMP_LE`;
     `theorem`,`REAL`,`REAL_LT_IMP_NE`;
     `theorem`,`REAL`,`REAL_LT_INV`;
     `theorem`,`REAL`,`REAL_LT_LADD`;
     `theorem`,`REAL`,`REAL_LT_LE`;
     `theorem`,`REAL`,`REAL_LT_LMUL`;
     `theorem`,`REAL`,`REAL_LT_LMUL_0`;
     `theorem`,`REAL`,`REAL_LT_LMUL_IMP`;
     `theorem`,`REAL`,`REAL_LT_MUL`;
     `theorem`,`REAL`,`REAL_LT_MUL2`;
     `theorem`,`REAL`,`REAL_LT_MULTIPLE`;
     `theorem`,`REAL`,`REAL_LT_NEG`;
     `theorem`,`REAL`,`REAL_LT_NEGTOTAL`;
     `theorem`,`REAL`,`REAL_LT_NZ`;
     `theorem`,`REAL`,`REAL_LT_RADD`;
     `theorem`,`REAL`,`REAL_LT_RDIV`;
     `theorem`,`REAL`,`REAL_LT_RDIV_0`;
     `theorem`,`REAL`,`REAL_LT_REFL`;
     `theorem`,`REAL`,`REAL_LT_RMUL`;
     `theorem`,`REAL`,`REAL_LT_RMUL_0`;
     `theorem`,`REAL`,`REAL_LT_RMUL_IMP`;
     `theorem`,`REAL`,`REAL_LT_SUB_LADD`;
     `theorem`,`REAL`,`REAL_LT_SUB_RADD`;
     `theorem`,`REAL`,`REAL_LT_TOTAL`;
     `theorem`,`REAL`,`REAL_LT_TRANS`;
     `theorem`,`REAL`,`REAL_MEAN`;
     `theorem`,`REAL`,`REAL_MIDDLE1`;
     `theorem`,`REAL`,`REAL_MIDDLE2`;
     `theorem`,`REAL`,`REAL_MUL`;
     `theorem`,`REAL`,`REAL_MUL_ASSOC`;
     `theorem`,`REAL`,`REAL_MUL_LID`;
     `theorem`,`REAL`,`REAL_MUL_LINV`;
     `theorem`,`REAL`,`REAL_MUL_LZERO`;
     `theorem`,`REAL`,`REAL_MUL_RID`;
     `theorem`,`REAL`,`REAL_MUL_RINV`;
     `theorem`,`REAL`,`REAL_MUL_RZERO`;
     `theorem`,`REAL`,`REAL_MUL_SYM`;
     `theorem`,`REAL`,`REAL_NEGNEG`;
     `theorem`,`REAL`,`REAL_NEG_0`;
     `theorem`,`REAL`,`REAL_NEG_ADD`;
     `theorem`,`REAL`,`REAL_NEG_EQ`;
     `theorem`,`REAL`,`REAL_NEG_EQ0`;
     `theorem`,`REAL`,`REAL_NEG_GE0`;
     `theorem`,`REAL`,`REAL_NEG_GT0`;
     `theorem`,`REAL`,`REAL_NEG_INV`;
     `theorem`,`REAL`,`REAL_NEG_LE0`;
     `theorem`,`REAL`,`REAL_NEG_LMUL`;
     `theorem`,`REAL`,`REAL_NEG_LT0`;
     `theorem`,`REAL`,`REAL_NEG_MINUS1`;
     `theorem`,`REAL`,`REAL_NEG_MUL2`;
     `theorem`,`REAL`,`REAL_NEG_RMUL`;
     `theorem`,`REAL`,`REAL_NEG_SUB`;
     `theorem`,`REAL`,`REAL_NOT_LE`;
     `theorem`,`REAL`,`REAL_NOT_LT`;
     `theorem`,`REAL`,`REAL_NZ_IMP_LT`;
     `theorem`,`REAL`,`REAL_OVER1`;
     `theorem`,`REAL`,`REAL_POASQ`;
     `theorem`,`REAL`,`REAL_POS`;
     `theorem`,`REAL`,`REAL_POS_NZ`;
     `theorem`,`REAL`,`REAL_POW2_ABS`;
     `theorem`,`REAL`,`REAL_RDISTRIB`;
     `theorem`,`REAL`,`REAL_RINV_UNIQ`;
     `theorem`,`REAL`,`REAL_RNEG_UNIQ`;
     `theorem`,`REAL`,`REAL_SUB_0`;
     `theorem`,`REAL`,`REAL_SUB_ABS`;
     `theorem`,`REAL`,`REAL_SUB_ADD`;
     `theorem`,`REAL`,`REAL_SUB_ADD2`;
     `theorem`,`REAL`,`REAL_SUB_INV2`;
     `theorem`,`REAL`,`REAL_SUB_LDISTRIB`;
     `theorem`,`REAL`,`REAL_SUB_LE`;
     `theorem`,`REAL`,`REAL_SUB_LNEG`;
     `theorem`,`REAL`,`REAL_SUB_LT`;
     `theorem`,`REAL`,`REAL_SUB_LZERO`;
     `theorem`,`REAL`,`REAL_SUB_NEG2`;
     `theorem`,`REAL`,`REAL_SUB_RDISTRIB`;
     `theorem`,`REAL`,`REAL_SUB_REFL`;
     `theorem`,`REAL`,`REAL_SUB_RNEG`;
     `theorem`,`REAL`,`REAL_SUB_RZERO`;
     `theorem`,`REAL`,`REAL_SUB_SUB`;
     `theorem`,`REAL`,`REAL_SUB_SUB2`;
     `theorem`,`REAL`,`REAL_SUB_TRIANGLE`;
     `theorem`,`REAL`,`REAL_SUMSQ`;
     `theorem`,`REAL`,`REAL_SUP`;
     `theorem`,`REAL`,`REAL_SUP_ALLPOS`;
     `theorem`,`REAL`,`REAL_SUP_EXISTS`;
     `theorem`,`REAL`,`REAL_SUP_LE`;
     `theorem`,`REAL`,`REAL_SUP_SOMEPOS`;
     `theorem`,`REAL`,`REAL_SUP_UBOUND`;
     `theorem`,`REAL`,`REAL_SUP_UBOUND_LE`;
     `theorem`,`REAL`,`SETOK_LE_LT`;
     `theorem`,`REAL`,`SUM_0`;
     `theorem`,`REAL`,`SUM_1`;
     `theorem`,`REAL`,`SUM_2`;
     `theorem`,`REAL`,`SUM_ABS`;
     `theorem`,`REAL`,`SUM_ABS_LE`;
     `theorem`,`REAL`,`SUM_ADD`;
     `theorem`,`REAL`,`SUM_BOUND`;
     `theorem`,`REAL`,`SUM_CANCEL`;
     `theorem`,`REAL`,`SUM_CMUL`;
     `theorem`,`REAL`,`SUM_DIFF`;
     `theorem`,`REAL`,`SUM_EQ`;
     `theorem`,`REAL`,`SUM_GROUP`;
     `theorem`,`REAL`,`SUM_LE`;
     `theorem`,`REAL`,`SUM_NEG`;
     `theorem`,`REAL`,`SUM_NSUB`;
     `theorem`,`REAL`,`SUM_OFFSET`;
     `theorem`,`REAL`,`SUM_PERMUTE_0`;
     `theorem`,`REAL`,`SUM_POS`;
     `theorem`,`REAL`,`SUM_POS_GEN`;
     `theorem`,`REAL`,`SUM_REINDEX`;
     `theorem`,`REAL`,`SUM_SUB`;
     `theorem`,`REAL`,`SUM_SUBST`;
     `theorem`,`REAL`,`SUM_TWO`;
     `theorem`,`REAL`,`SUM_ZERO`;
     `theorem`,`REAL`,`SUP_LEMMA1`;
     `theorem`,`REAL`,`SUP_LEMMA2`;
     `theorem`,`REAL`,`SUP_LEMMA3`;
     `theorem`,`TRANSC`,`ACS`;
     `theorem`,`TRANSC`,`ACS_BOUNDS`;
     `theorem`,`TRANSC`,`ACS_COS`;
     `theorem`,`TRANSC`,`ASN`;
     `theorem`,`TRANSC`,`ASN_BOUNDS`;
     `theorem`,`TRANSC`,`ASN_SIN`;
     `theorem`,`TRANSC`,`ATN`;
     `theorem`,`TRANSC`,`ATN_BOUNDS`;
     `theorem`,`TRANSC`,`ATN_TAN`;
     `theorem`,`TRANSC`,`COS_0`;
     `theorem`,`TRANSC`,`COS_2`;
     `theorem`,`TRANSC`,`COS_ACS`;
     `theorem`,`TRANSC`,`COS_ADD`;
     `theorem`,`TRANSC`,`COS_BOUND`;
     `theorem`,`TRANSC`,`COS_BOUNDS`;
     `theorem`,`TRANSC`,`COS_CONVERGES`;
     `theorem`,`TRANSC`,`COS_DOUBLE`;
     `theorem`,`TRANSC`,`COS_ISZERO`;
     `theorem`,`TRANSC`,`COS_NEG`;
     `theorem`,`TRANSC`,`COS_NPI`;
     `theorem`,`TRANSC`,`COS_PAIRED`;
     `theorem`,`TRANSC`,`COS_PERIODIC`;
     `theorem`,`TRANSC`,`COS_PERIODIC_PI`;
     `theorem`,`TRANSC`,`COS_PI`;
     `theorem`,`TRANSC`,`COS_PI2`;
     `theorem`,`TRANSC`,`COS_POS_PI`;
     `theorem`,`TRANSC`,`COS_POS_PI2`;
     `theorem`,`TRANSC`,`COS_SIN`;
     `theorem`,`TRANSC`,`COS_TOTAL`;
     `theorem`,`TRANSC`,`COS_ZERO`;
     `theorem`,`TRANSC`,`COS_ZERO_LEMMA`;
     `theorem`,`TRANSC`,`EXP_0`;
     `theorem`,`TRANSC`,`EXP_ADD`;
     `theorem`,`TRANSC`,`EXP_ADD_MUL`;
     `theorem`,`TRANSC`,`EXP_CONVERGES`;
     `theorem`,`TRANSC`,`EXP_FDIFF`;
     `theorem`,`TRANSC`,`EXP_INJ`;
     `theorem`,`TRANSC`,`EXP_LE_X`;
     `theorem`,`TRANSC`,`EXP_LN`;
     `theorem`,`TRANSC`,`EXP_LT_1`;
     `theorem`,`TRANSC`,`EXP_MONO_IMP`;
     `theorem`,`TRANSC`,`EXP_MONO_LE`;
     `theorem`,`TRANSC`,`EXP_MONO_LT`;
     `theorem`,`TRANSC`,`EXP_N`;
     `theorem`,`TRANSC`,`EXP_NEG`;
     `theorem`,`TRANSC`,`EXP_NEG_MUL`;
     `theorem`,`TRANSC`,`EXP_NEG_MUL2`;
     `theorem`,`TRANSC`,`EXP_NZ`;
     `theorem`,`TRANSC`,`EXP_POS_LE`;
     `theorem`,`TRANSC`,`EXP_POS_LT`;
     `theorem`,`TRANSC`,`EXP_SUB`;
     `theorem`,`TRANSC`,`EXP_TOTAL`;
     `theorem`,`TRANSC`,`EXP_TOTAL_LEMMA`;
     `theorem`,`TRANSC`,`LN_1`;
     `theorem`,`TRANSC`,`LN_DIV`;
     `theorem`,`TRANSC`,`LN_EXP`;
     `theorem`,`TRANSC`,`LN_INJ`;
     `theorem`,`TRANSC`,`LN_INV`;
     `theorem`,`TRANSC`,`LN_MONO_LE`;
     `theorem`,`TRANSC`,`LN_MONO_LT`;
     `theorem`,`TRANSC`,`LN_MUL`;
     `theorem`,`TRANSC`,`LN_POW`;
     `theorem`,`TRANSC`,`PI2`;
     `theorem`,`TRANSC`,`PI2_BOUNDS`;
     `theorem`,`TRANSC`,`PI_POS`;
     `theorem`,`TRANSC`,`ROOT_0`;
     `theorem`,`TRANSC`,`ROOT_1`;
     `theorem`,`TRANSC`,`ROOT_LN`;
     `theorem`,`TRANSC`,`ROOT_LT_LEMMA`;
     `theorem`,`TRANSC`,`ROOT_POW_POS`;
     `theorem`,`TRANSC`,`SIN_0`;
     `theorem`,`TRANSC`,`SIN_ADD`;
     `theorem`,`TRANSC`,`SIN_ASN`;
     `theorem`,`TRANSC`,`SIN_BOUND`;
     `theorem`,`TRANSC`,`SIN_BOUNDS`;
     `theorem`,`TRANSC`,`SIN_CIRCLE`;
     `theorem`,`TRANSC`,`SIN_CONVERGES`;
     `theorem`,`TRANSC`,`SIN_COS`;
     `theorem`,`TRANSC`,`SIN_DOUBLE`;
     `theorem`,`TRANSC`,`SIN_NEG`;
     `theorem`,`TRANSC`,`SIN_NPI`;
     `theorem`,`TRANSC`,`SIN_PAIRED`;
     `theorem`,`TRANSC`,`SIN_PERIODIC`;
     `theorem`,`TRANSC`,`SIN_PERIODIC_PI`;
     `theorem`,`TRANSC`,`SIN_PI`;
     `theorem`,`TRANSC`,`SIN_PI2`;
     `theorem`,`TRANSC`,`SIN_POS`;
     `theorem`,`TRANSC`,`SIN_POS_PI`;
     `theorem`,`TRANSC`,`SIN_POS_PI2`;
     `theorem`,`TRANSC`,`SIN_TOTAL`;
     `theorem`,`TRANSC`,`SIN_ZERO`;
     `theorem`,`TRANSC`,`SIN_ZERO_LEMMA`;
     `theorem`,`TRANSC`,`SQRT_0`;
     `theorem`,`TRANSC`,`SQRT_1`;
     `theorem`,`TRANSC`,`SQRT_POW2`;
     `theorem`,`TRANSC`,`TAN_0`;
     `theorem`,`TRANSC`,`TAN_ADD`;
     `theorem`,`TRANSC`,`TAN_ATN`;
     `theorem`,`TRANSC`,`TAN_DOUBLE`;
     `theorem`,`TRANSC`,`TAN_NEG`;
     `theorem`,`TRANSC`,`TAN_NPI`;
     `theorem`,`TRANSC`,`TAN_PERIODIC`;
     `theorem`,`TRANSC`,`TAN_PI`;
     `theorem`,`TRANSC`,`TAN_POS_PI2`;
     `theorem`,`TRANSC`,`TAN_TOTAL`;
     `theorem`,`TRANSC`,`TAN_TOTAL_LEMMA`;
     `theorem`,`TRANSC`,`TAN_TOTAL_POS`];;
