query-id stringlengths 43 45 | corpus-id stringlengths 41 47 | score int64 1 1 |
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NaturalProofs_Stacks_Reference_4163_contents | NaturalProofs_Stacks_Reference_theorem_4222 | 1 |
NaturalProofs_Stacks_Reference_4163_contents | NaturalProofs_Stacks_Reference_theorem_4173 | 1 |
NaturalProofs_Stacks_Reference_4163_contents | NaturalProofs_Stacks_Reference_theorem_4161 | 1 |
NaturalProofs_Stacks_Reference_4163_contents | NaturalProofs_Stacks_Reference_theorem_4158 | 1 |
NaturalProofs_Stacks_Reference_260_contents | NaturalProofs_Stacks_Reference_theorem_4368 | 1 |
NaturalProofs_Stacks_Reference_260_contents | NaturalProofs_Stacks_Reference_theorem_4370 | 1 |
NaturalProofs_Stacks_Reference_260_contents | NaturalProofs_Stacks_Reference_theorem_4376 | 1 |
NaturalProofs_Stacks_Reference_260_contents | NaturalProofs_Stacks_Reference_theorem_4378 | 1 |
NaturalProofs_Stacks_Reference_131_contents | NaturalProofs_Stacks_Reference_theorem_11 | 1 |
NaturalProofs_Stacks_Reference_10691_contents | NaturalProofs_Stacks_Reference_theorem_5377 | 1 |
NaturalProofs_Stacks_Reference_8002_contents | NaturalProofs_Stacks_Reference_theorem_1389 | 1 |
NaturalProofs_Stacks_Reference_8002_contents | NaturalProofs_Stacks_Reference_theorem_9991 | 1 |
NaturalProofs_Stacks_Reference_8002_contents | NaturalProofs_Stacks_Reference_theorem_343 | 1 |
NaturalProofs_Stacks_Reference_8002_contents | NaturalProofs_Stacks_Reference_theorem_5264 | 1 |
NaturalProofs_Stacks_Reference_8002_contents | NaturalProofs_Stacks_Reference_theorem_8000 | 1 |
NaturalProofs_Stacks_Reference_8002_contents | NaturalProofs_Stacks_Reference_theorem_326 | 1 |
NaturalProofs_Stacks_Reference_8002_contents | NaturalProofs_Stacks_Reference_theorem_8001 | 1 |
NaturalProofs_Stacks_Reference_7869_contents | NaturalProofs_Stacks_Reference_theorem_2952 | 1 |
NaturalProofs_Stacks_Reference_7869_contents | NaturalProofs_Stacks_Reference_theorem_432 | 1 |
NaturalProofs_Stacks_Reference_7869_contents | NaturalProofs_Stacks_Reference_theorem_713 | 1 |
NaturalProofs_Stacks_Reference_13698_contents | NaturalProofs_Stacks_Reference_theorem_5348 | 1 |
NaturalProofs_Stacks_Reference_13698_contents | NaturalProofs_Stacks_Reference_theorem_5349 | 1 |
NaturalProofs_Stacks_Reference_13698_contents | NaturalProofs_Stacks_Reference_theorem_13696 | 1 |
NaturalProofs_Stacks_Reference_13698_contents | NaturalProofs_Stacks_Reference_theorem_13688 | 1 |
NaturalProofs_Stacks_Reference_13698_contents | NaturalProofs_Stacks_Reference_theorem_13689 | 1 |
NaturalProofs_Stacks_Reference_275_contents | NaturalProofs_Stacks_Reference_other_5034 | 1 |
NaturalProofs_Stacks_Reference_275_contents | NaturalProofs_Stacks_Reference_theorem_6319 | 1 |
NaturalProofs_Stacks_Reference_13983_contents | NaturalProofs_Stacks_Reference_theorem_14665 | 1 |
NaturalProofs_Stacks_Reference_13983_contents | NaturalProofs_Stacks_Reference_definition_14119 | 1 |
NaturalProofs_Stacks_Reference_13983_contents | NaturalProofs_Stacks_Reference_theorem_13976 | 1 |
NaturalProofs_Stacks_Reference_13983_contents | NaturalProofs_Stacks_Reference_theorem_14665 | 1 |
NaturalProofs_Stacks_Reference_13983_contents | NaturalProofs_Stacks_Reference_theorem_10158 | 1 |
NaturalProofs_Stacks_Reference_14013_contents | NaturalProofs_Stacks_Reference_theorem_10311 | 1 |
NaturalProofs_Stacks_Reference_14013_contents | NaturalProofs_Stacks_Reference_theorem_14003 | 1 |
NaturalProofs_Stacks_Reference_14013_contents | NaturalProofs_Stacks_Reference_theorem_13745 | 1 |
NaturalProofs_Stacks_Reference_14013_contents | NaturalProofs_Stacks_Reference_theorem_6941 | 1 |
NaturalProofs_Stacks_Reference_14013_contents | NaturalProofs_Stacks_Reference_theorem_6977 | 1 |
NaturalProofs_Stacks_Reference_14013_contents | NaturalProofs_Stacks_Reference_theorem_6980 | 1 |
NaturalProofs_Stacks_Reference_13947_contents | NaturalProofs_Stacks_Reference_theorem_13946 | 1 |
NaturalProofs_Stacks_Reference_13947_contents | NaturalProofs_Stacks_Reference_theorem_10948 | 1 |
NaturalProofs_Stacks_Reference_13947_contents | NaturalProofs_Stacks_Reference_theorem_7062 | 1 |
NaturalProofs_Stacks_Reference_11677_contents | NaturalProofs_Stacks_Reference_theorem_8056 | 1 |
NaturalProofs_Stacks_Reference_13964_contents | NaturalProofs_Stacks_Reference_theorem_5453 | 1 |
NaturalProofs_Stacks_Reference_13964_contents | NaturalProofs_Stacks_Reference_theorem_13962 | 1 |
NaturalProofs_Stacks_Reference_13964_contents | NaturalProofs_Stacks_Reference_theorem_6994 | 1 |
NaturalProofs_Stacks_Reference_13964_contents | NaturalProofs_Stacks_Reference_theorem_13962 | 1 |
NaturalProofs_Stacks_Reference_15111_contents | NaturalProofs_Stacks_Reference_theorem_15110 | 1 |
NaturalProofs_Stacks_Reference_6032_contents | NaturalProofs_Stacks_Reference_theorem_6200 | 1 |
NaturalProofs_Stacks_Reference_13780_contents | NaturalProofs_Stacks_Reference_theorem_13779 | 1 |
NaturalProofs_Stacks_Reference_13780_contents | NaturalProofs_Stacks_Reference_theorem_14680 | 1 |
NaturalProofs_Stacks_Reference_13780_contents | NaturalProofs_Stacks_Reference_theorem_14708 | 1 |
NaturalProofs_Stacks_Reference_13780_contents | NaturalProofs_Stacks_Reference_theorem_10953 | 1 |
NaturalProofs_Stacks_Reference_13780_contents | NaturalProofs_Stacks_Reference_theorem_14654 | 1 |
NaturalProofs_Stacks_Reference_10396_contents | NaturalProofs_Stacks_Reference_theorem_10590 | 1 |
NaturalProofs_Stacks_Reference_10396_contents | NaturalProofs_Stacks_Reference_theorem_10395 | 1 |
NaturalProofs_Stacks_Reference_10193_contents | NaturalProofs_Stacks_Reference_theorem_10192 | 1 |
NaturalProofs_Stacks_Reference_1296_contents | NaturalProofs_Stacks_Reference_theorem_1284 | 1 |
NaturalProofs_Stacks_Reference_1012_contents | NaturalProofs_Stacks_Reference_theorem_664 | 1 |
NaturalProofs_Stacks_Reference_1012_contents | NaturalProofs_Stacks_Reference_theorem_996 | 1 |
NaturalProofs_Stacks_Reference_1012_contents | NaturalProofs_Stacks_Reference_theorem_1411 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_10249 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_10131 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_10219 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_10212 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_1835 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_10585 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_10131 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_1814 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_1758 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_1862 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_10585 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_12030 | 1 |
NaturalProofs_Stacks_Reference_10250_contents | NaturalProofs_Stacks_Reference_theorem_10585 | 1 |
NaturalProofs_Stacks_Reference_14431_contents | NaturalProofs_Stacks_Reference_theorem_14403 | 1 |
NaturalProofs_Stacks_Reference_4445_contents | NaturalProofs_Stacks_Reference_theorem_4444 | 1 |
NaturalProofs_Stacks_Reference_6047_contents | NaturalProofs_Stacks_Reference_theorem_862 | 1 |
NaturalProofs_Stacks_Reference_2548_contents | NaturalProofs_Stacks_Reference_theorem_13695 | 1 |
NaturalProofs_Stacks_Reference_2548_contents | NaturalProofs_Stacks_Reference_theorem_11199 | 1 |
NaturalProofs_Stacks_Reference_2548_contents | NaturalProofs_Stacks_Reference_theorem_11202 | 1 |
NaturalProofs_Stacks_Reference_2548_contents | NaturalProofs_Stacks_Reference_theorem_13748 | 1 |
NaturalProofs_Stacks_Reference_2548_contents | NaturalProofs_Stacks_Reference_theorem_11204 | 1 |
NaturalProofs_Stacks_Reference_1612_contents | NaturalProofs_Stacks_Reference_theorem_1610 | 1 |
NaturalProofs_Stacks_Reference_1753_contents | NaturalProofs_Stacks_Reference_theorem_1752 | 1 |
NaturalProofs_Stacks_Reference_1753_contents | NaturalProofs_Stacks_Reference_theorem_15024 | 1 |
NaturalProofs_Stacks_Reference_1753_contents | NaturalProofs_Stacks_Reference_theorem_3221 | 1 |
NaturalProofs_Stacks_Reference_11807_contents | NaturalProofs_Stacks_Reference_theorem_262 | 1 |
NaturalProofs_Stacks_Reference_11807_contents | NaturalProofs_Stacks_Reference_definition_11810 | 1 |
NaturalProofs_Stacks_Reference_10745_contents | NaturalProofs_Stacks_Reference_theorem_1658 | 1 |
NaturalProofs_Stacks_Reference_6090_contents | NaturalProofs_Stacks_Reference_theorem_883 | 1 |
NaturalProofs_Stacks_Reference_6090_contents | NaturalProofs_Stacks_Reference_theorem_532 | 1 |
NaturalProofs_Stacks_Reference_6090_contents | NaturalProofs_Stacks_Reference_theorem_533 | 1 |
NaturalProofs_Stacks_Reference_1742_contents | NaturalProofs_Stacks_Reference_theorem_1741 | 1 |
NaturalProofs_Stacks_Reference_1742_contents | NaturalProofs_Stacks_Reference_theorem_1740 | 1 |
NaturalProofs_Stacks_Reference_1742_contents | NaturalProofs_Stacks_Reference_theorem_7522 | 1 |
NaturalProofs_Stacks_Reference_1742_contents | NaturalProofs_Stacks_Reference_theorem_7510 | 1 |
NaturalProofs_Stacks_Reference_1742_contents | NaturalProofs_Stacks_Reference_theorem_1736 | 1 |
NaturalProofs_Stacks_Reference_1761_contents | NaturalProofs_Stacks_Reference_theorem_1760 | 1 |
NaturalProofs_Stacks_Reference_13632_contents | NaturalProofs_Stacks_Reference_theorem_5976 | 1 |
NaturalProofs_Stacks_Reference_13632_contents | NaturalProofs_Stacks_Reference_theorem_6128 | 1 |
NaturalProofs_Stacks_Reference_13632_contents | NaturalProofs_Stacks_Reference_theorem_6129 | 1 |
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