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pvs:libraries [2016/09/04 16:00] 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> | ||
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Grand Totals: 10 proofs, 10 attempted, 9 succeeded (1.81 s) | Grand Totals: 10 proofs, 10 attempted, 9 succeeded (1.81 s) | ||
</code> | </code> | ||
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