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Jul 20th, 2012 | syntax:
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import org.pingel.axle.category.awodey.CategoryTheory._
val ints = ⋅(Set(1, 2))
val strings = ⋅(Set("A", "B"))
println("ints ≡ strings: " + (ints ≡ strings))
println("ints ≡ ints : " + (ints ≡ ints))
val fii = →(ints, ints) /* TODO */
val fis = →(ints, strings) /* TODO */
val fsi = →(strings, ints) /* TODO */
val fss = →(strings, strings) /* TODO */
println("fii ≡ fii: " + (fii ≡ fii))
println("fii ≡ fis: " + (fii ≡ fis))
// val setsFin1 = Category(Set(ints, strings), Set(fii, fis, fsi, fss))
val setsFin1 = Category(Set(ints), Set(fii))