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type_equivalence [2014/11/17 19:15] nikolaj |
type_equivalence [2015/12/07 18:39] nikolaj |
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| We see how equivalence of types $(A\simeq B)$ eventually comes down to equality of terms. | We see how equivalence of types $(A\simeq B)$ eventually comes down to equality of terms. | ||
| - | (The univalence axiom then says that to find those term-equalities, can should construct an equivalence on of these terms.) | + | (The univalence axiom then says that to find those term-equalities, one can construct an equivalence on of these terms.) |
| This is in analogy to how [[my equivalence of categories|equivalences of categories]] (defined via natural isomorphisms) comes down to isomorphisms of objects. | This is in analogy to how [[my equivalence of categories|equivalences of categories]] (defined via natural isomorphisms) comes down to isomorphisms of objects. | ||
| ==== Parents ==== | ==== Parents ==== | ||
| - | === Related === | + | === Requirements === |
| [[Identity type]] | [[Identity type]] | ||
