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stock (someone or something) up (with something)
To furnish someone, something, or someplace with supplies (of something). We stocked the house up with food, so you should have plenty to eat while we're gone. The kitchen is running low on a few things, but Brady's coming round to stock us up tomorrow.
stock up (with something)
to build up a supply of something. You had better stock up with firewood before the first snowstorm. Yes, I will stock up today.
1. To provide or furnish something with supplies: The bartender stocked up the bar with vodka. We stocked the house up with emergency supplies.
2. stock up on To gather and store a supply of something: We stocked up on canned goods before the storm came.