I am about the start Invisalign and have just now seen the Invisalign movie. What indicates shaving? (Photo)

I see 6 diamonds along the bottom teeth. Does this mean the plan is to shave 6 of my teeth by 4 mm? I have already told my orthodontist I don't want to do this. I really don't want to shave healthy teeth. Can anyone speak to what this is like? Is it absolutely necessary

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