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pvs:libraries [2016/08/25 21:29] jonathan [Example Theory] |
pvs:libraries [2016/09/13 18:06] (current) jonathan |
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| ====== Reals ====== | ====== Reals ====== | ||
| - | Hypatheon is useful for browsing libraries. In the Prelude, we have real_axioms, reals and real_props. For example, in real_props we have the Lemma "both_sides_div_pos_neg_ge1" which allows us to divide both sides of an inequality ''x >= y'' by the same value ''n0z: VAR nonzero_real'': | + | Hypatheon is useful for browsing libraries. In the Prelude, we have |
| + | * real_axioms, | ||
| + | * reals | ||
| + | * real_props | ||
| + | * extra_real_props. | ||
| + | |||
| + | For example, in real_props we have the Lemma "both_sides_div_pos_neg_ge1" which allows us to divide both sides of an inequality ''x >= y'' by the same value ''n0z: VAR nonzero_real'': | ||
| <code> | <code> | ||
| Line 24: | Line 30: | ||
| ===== Example Theory ===== | ===== Example Theory ===== | ||
| - | <file text real.text> | + | <file text real.pvs> |
| real : THEORY | real : THEORY | ||
| BEGIN | BEGIN | ||
| Line 77: | Line 83: | ||
| - | END logic | + | END real |
| </file> | </file> | ||
| Line 96: | Line 102: | ||
| Grand Totals: 10 proofs, 10 attempted, 9 succeeded (1.81 s) | Grand Totals: 10 proofs, 10 attempted, 9 succeeded (1.81 s) | ||
| </code> | </code> | ||
| - | |||
pvs/libraries.1472160580.txt.gz · Last modified: 2016/08/25 21:29 by jonathan
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