Metamath Proof Explorer
Description: The natural logarithm is one-to-one on positive reals. (Contributed by SN, 25-Apr-2025)
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Ref |
Expression |
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Hypotheses |
rplog11d.a |
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rplog11d.b |
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Assertion |
rplog11d |
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Proof
Step |
Hyp |
Ref |
Expression |
1 |
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rplog11d.a |
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2 |
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rplog11d.b |
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3 |
1
|
rpcnd |
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4 |
2
|
rpcnd |
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5 |
1
|
rpne0d |
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6 |
2
|
rpne0d |
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7 |
3 4 5 6
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log11d |
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