| For every epsilon > 0, there exists a y in E such that d(y,x) < epsilon. | |
| For every epsilon > 0, there exists a y in E such that 0 < d(y,x) < epsilon. | |
| There exists epsilon > 0 and y in E such that 0 < d(y,x) < epsilon. | |
| For every epsilon > 0 and all y in E, we have d(y,x) < epsilon. | |
| For every y in E, there exists epsilon > 0 such that d(y,x) < epsilon. | |
| There exists epsilon > 0 such that 0 < d(y,x) < epsilon for all y in E. | |
| There exists y in E such that d(y,x) < epsilon for all epsilon > 0. |