Metamath Proof Explorer
Description: Nonnegative integer exponentiation with a nonnegative mantissa is
nonnegative. (Contributed by Mario Carneiro, 28-May-2016)
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Ref |
Expression |
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Hypotheses |
reexpcld.1 |
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reexpcld.2 |
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expge1d.3 |
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Assertion |
expge1d |
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Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
reexpcld.1 |
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2 |
|
reexpcld.2 |
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3 |
|
expge1d.3 |
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4 |
|
expge1 |
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5 |
1 2 3 4
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syl3anc |
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