In the so-called past unreal, you ALWAYS use WOULD. No exceptions. If I had voted last year, I would HAVE voted for X; If she had voted last year, she wouldn't HAVE voted for X; If it had rained last night, I couldn't HAVE visited you.
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Horatiuswe wouldAfter a modal verb, the only form of the verb have that is possible is have itself -- never has or had or having. would is a modal verb, so only have can follow it.hadhave seen