To inherit from another schema, you use allOf
combined with $ref
:
{
"title": "Extension schema",
"allOf": [{"$ref": "/path/to/base/schema"}]
}
Inheriting from another schema within the same file is just the same - you reference it using fragments, just like you have elsewhere:
{
"title": "Extension schema",
"allOf": [{"$ref": "#/definitions/reference"}]
}