Description: The floor function of a division of a nonnegative integer by a positive integer is a nonnegative integer. (Contributed by Alexander van der Vekens, 14-Apr-2018)
Ref | Expression | ||
---|---|---|---|
Assertion | fldivnn0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nn0nndivcl | ||
2 | nn0ge0div | ||
3 | flge0nn0 | ||
4 | 1 2 3 | syl2anc |