to strengthen
sthenoo denotes a future act of making the addressees strong after a brief period of suffering.
The attested use presents a future strengthening of the addressees after they have suffered for a little while.
Senses in use
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Making sufferers strong · dominant
In 1 Peter 5:10, σθενώσει is a third-person future active indicative singular form within the promise that, after the addressees have suffered a little, God himself will act toward them. The APB renders the clause "himself will complete, establish, strengthen, and establish you," confirming a strengthening action within that sequence.
In the Anselm Project Bible: In 1 Peter 5:10 the APB includes "strengthen" among several promised actions toward the addressees. The precise correspondence within that sequence cannot be isolated beyond the verse's strengthening context.