Last active
June 11, 2017 20:54
-
-
Save janekdb/04a06e7fa23b3a0bed5a08eca3ac2a51 to your computer and use it in GitHub Desktop.
Scala Type Level Programming: The Natural Numbers: Addition Assertions
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
// 0 + 0, 0 + 1 | |
implicitly[MsbZero#add[MsbZero] =:= MsbZero] | |
implicitly[MsbZero#add[MsbOne] =:= MsbOne] | |
// 1 + 0, 1 + 1 | |
implicitly[MsbOne#add[MsbZero] =:= MsbOne] | |
implicitly[MsbOne#add[MsbOne] =:= B0[MsbOne]] | |
// 2 + 0, 2 + 1, 2 + 2 | |
implicitly[B0[MsbOne]#add[MsbZero] =:= B0[MsbOne]] | |
implicitly[B0[MsbOne]#add[MsbOne] =:= B1[MsbOne]] | |
implicitly[B0[MsbOne]#add[B0[MsbOne]] =:= B0[B0[MsbOne]]] | |
implicitly[T2#add[T0] =:= T2] | |
implicitly[T2#add[T1] =:= T3] | |
implicitly[T2#add[T2] =:= T4] | |
implicitly[T0#add[T2] =:= T2] | |
implicitly[T1#add[T2] =:= T3] | |
implicitly[T2#add[T2] =:= T4] | |
implicitly[T3#add[T0] =:= T3] | |
implicitly[T3#add[T1] =:= T4] | |
implicitly[T3#add[T2] =:= T5] | |
implicitly[T3#add[T3] =:= T6] | |
implicitly[T5#add[T5] =:= T4#add[T6]] | |
implicitly[T5#add[T5] =:= T6#add[T4]] | |
implicitly[T5#add[T5] =:= T1#add[T2]#add[T3]#add[T4]] |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment