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auxiliary verb être vs. avoir

Here's something I wasn't clear on:

I knew you use être as the auxiliary verb for intransitive verbs of motion like:

Je suis venu

Je suis monté

Je suis allé


However, if it is a verb of displacement, you use avoir:

J'ai marché

J'ai couru

J'ai nagé

j'ai rampé (crawled)