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cs.LO2017
The HoTT reals coincide with the Euclidean reals
Auke Bart Booij
Escardó and Simpson defined a notion of interval object by a universal property in any category with binary products. The Homotopy Type Theory book defines a higher inductive-induc…
cs.LO2017★ 1 cited
Parametricity, automorphisms of the universe, and excluded middle
Auke Bart Booij, Martín Hötzel Escardó, Peter LeFanu Lumsdaine +1
It is known that one can construct non-parametric functions by assuming classical axioms. Our work is a converse to that: we prove classical axioms in dependent type theory assumin…