I think the word you're looking for is 'lay'. 'Led' is the past tense of 'lead' in the sense of leading a camel to water. You 'lay' down on a bed. Never 'laid'. It's for an inaminate object. "I laid down the kettle".
The confusion arises from the fact that there are two words in question here. The first is the verb 'lie', which means "to assume a horizontal or resting position". The past tense of this is 'lay' and the past participle is 'lain'. Problem is, 'lay' is a word on its own, meaning "to put down or set in position". The past tense is 'laid', which is why we say "I laid down the kettle". It means "I put down the kettle". But you can't say "I put down to sleep", because what you are doing is in fact the first word, 'lie'. So you 'lie' down to bed, you 'lay' down to bed, and you have 'lain' down to bed. You 'lay' down the kettle, and you 'laid' down the kettle. The past tense and past participle of 'lay' (in sense two) is always 'laid'. Never 'lain'.
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