abide by one's promise

abide vt. vi.
1. to tolerate; put up with; to accept or submit to; suffer;
She can't abide watching horror films.
How can you abide his rudeness of such a person?

2. to comply with; remain faithful to
Please feel assured that we will abide by our promise.

3. to await in expectation
He'll abide his time.

4. to withstand or sustain; endure
The brave soldiers abode several onslaughts of the fierce enemy.

5. to dwell
They abode in a remote mountainous village.
The child abode with his grandparents for two years.

to abide the court's decision
to abide the onslaught
to abide by the contract
to abide by laws
to abide by one's promise