Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
What is the lowest FA Cup Goals, when Total Goals is greater than 0, when League Goals is "4", when FA Cup Apps is "1", and when League Cup Goals is greater than 0?

### Inputs:
table_name: table, columns: ['Squad No.', 'Name', 'Position', 'League Apps', 'League Goals', 'FA Cup Apps', 'FA Cup Goals', 'League Cup Apps', 'League Cup Goals', 'FLT Apps', 'FLT Goals', 'Total Apps', 'Total Goals']

### Response:
SELECT MIN FA Cup Goals FROM table WHERE Total Goals > 0 AND League Goals = 4 AND FA Cup Apps = 1 AND League Cup Goals > 0