eao denotes granting or withholding permission for a person, action, or event to proceed.

The attested use concerns permitting or not permitting something to proceed: people may be allowed to travel or act, objects may be released, and an event may be prevented or permitted. The same use appears where permission is withheld, including speech, entry, survival, a break-in, and temptation beyond endurance.

1. Granting or withholding permission to proceed · dominant

   In Acts 14:16, the aorist active singular form occurs in the clause where all nations were allowed to walk in their own ways; in Acts 16:7, the same form occurs where the spirit of Jesus did not allow entry into Bithynia. The active forms also concern restraining or releasing a course of action: in Acts 19:30 the APB renders the clause that the disciples “would not let” Paul go among the people, while Acts 27:32 and Acts 27:40 describe releasing the lifeboat and anchors. In 1 Corinthians 10:13 and Matthew 24:43, the clauses concern what will not be permitted to happen.

   Acts 14:16Acts 16:7Acts 19:30Acts 27:321 Corinthians 10:13Matthew 24:43

In the Anselm Project Bible: The APB variously renders the surrounding clauses with “allowed,” “allow,” “let,” and “permit,” including both permission and its denial. These renderings confirm the clause-level pattern rather than establish separate meanings.