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New notion of equivalence: Bijective relations

Open anshwad10 opened this issue 4 months ago • 3 comments

IMO, cubically this is a very natural notion of equivalence, because from any path p : A ≡ B we get a bijective relation PathP λ i → P i as a primitive notion of cubical. The inverse of a bijective relation is also very easy to define and it is definitionally involutive; I also prove that this is equivalent to the usual notion of equivalence

anshwad10 avatar Aug 20 '25 18:08 anshwad10