Metamath Proof Explorer
Description: Closure of exponentiation of rationals. For integer exponents, see
qexpclz . (Contributed by NM, 16-Dec-2005)
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|
Ref |
Expression |
|
Assertion |
qexpcl |
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Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
qsscn |
|
2 |
|
qmulcl |
|
3 |
|
1z |
|
4 |
|
zq |
|
5 |
3 4
|
ax-mp |
|
6 |
1 2 5
|
expcllem |
|