good faith
good faith {n.}
1. Belief in another person's honesty; trust.
Uncle Dick let me have the keys to his candy store to show his good faith.
- Often used in the phrase "in good faith".
The teacher accepted Bob's excuse for being late in good faith.
2. Honesty of purpose; trustworthiness.
John agreed to buy Ted's bicycle for $20, and he paid him $5 right away to show his good faith.
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Source: A Dictionary of American Idioms