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заснуть v stresses
gen.	sleep; drop asleep; drop off (Granddad often drops off in front of the TV.); go to sleep; go to one's dreams; close eyes together; drop off to sleep; fall on sleep; put eyes together; surrender to sleep; fall over; pop off; get to sleep (ART Vancouver); become dull; bury (under); cover (with); fill in; fill up; overlie; smother in sleep; strew (with); fall off to sleep (4uzhoj); fall asleep
fig.	die down
fig., inf.	put (into); add (to); bombard (with); pour (into); shower (with)
idiom.	put one's eyes together (Ни один из них за всю ночь не сомкнул глаз. – Not one of them put his eyes together all night long. Komparse)
inf.	thrash; begin to fall (of snow); begin to pour; begin to strew; die; flog; lash; manage to fall asleep
jarg.	betray; give away
Makarov.	conk out (от изнеможения); drift off; go off to sleep; go to one's dreams; surrender oneself to sleep
Makarov., inf.	nod off
slang	catch off; get off (Buddy89); go screensaver (Alexey Lebedev)
"заснуть" v
gen.	grow numb (о ногах)
заснувший prtc.
gen.	dormant
austral., slang	out to it
заснут v
gen.	fall asleep (pf of засыпать)
заснуться v
Gruzovik, inf.	manage to fall asleep

заснуть : 152 phrases in 15 subjects

American usage, not spelling	3
Australian	1
Bible	3
British usage, not spelling	1
Figure of speech	4
General	58
Idiomatic	5
Informal	4
Makarov	46
Medical	17
Nautical	1
Proverb	1
Rhetoric	2
Slang	5
Sublime	1