firmly established
Definitions
Deeply rooted or securely set in place.
Having a stable, permanent, or widely accepted status.
Examples
The tradition of hosting a summer festival has become firmly established in our small town.
Her reputation as a leading expert in the field is now firmly established after years of dedicated research.
Synonyms
deeply rooted entrenched well-founded ingrained settled fixed unshakable
Antonyms
unstable tenuous precarious transient unsettled fledgling shaky