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get in an elevator
It has no steps!
Not necessarily. An hydraulic elevator (as in mining), or a grain elevator would not be pulleys. Nor elevator shoes.
No. The word "elevator" can be a noun ("Get on the elevator!") or more rarely an adjective ("Check out my new elevator shoes.")
*uses such as elevator shoes or elevator shaft may be considered a noun adjunct rather than an adjective
The elevator ('lift' in the UK).
He did not invent the elevator(lift). He invented the elevator brake system.