Description: Corrolary of mzpclall : polynomially closed function sets are not empty. (Contributed by Stefan O'Rear, 4-Oct-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | mzpcln0 | |- ( V e. _V -> ( mzPolyCld ` V ) =/= (/) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mzpclall | |- ( V e. _V -> ( ZZ ^m ( ZZ ^m V ) ) e. ( mzPolyCld ` V ) ) |
|
2 | 1 | ne0d | |- ( V e. _V -> ( mzPolyCld ` V ) =/= (/) ) |