theorem ltpr1tr (a b c: nat): $ a < b $ > $ a < b, c $;
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ltletr | a < b -> b <= b, c -> a < b, c |
|
2 | hyp h | a < b |
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3 | 1, 2 | ax_mp | b <= b, c -> a < b, c |
4 | leprid1 | b <= b, c |
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5 | 3, 4 | ax_mp | a < b, c |