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TRUE = lambda x: lambda y: x | |
FALSE = lambda x: lambda y: y | |
Product = lambda x: lambda y: lambda z: (z)(x)(y) | |
And = lambda x: lambda y: (x)(y)(x) | |
Not = lambda x: lambda y: lambda z: (x)(z)(y) | |
Boolean = (Product)(True)(False) | |
Succ = lambda x: lambda y: lambda z: (y)((x)(y)(z)) | |
Pred = lambda x: lambda y: lambda z: x(lambda i: lambda j: j(i(y))) (lambda k: z) (lambda k: k) | |
Y = lambda g: (lambda z:z(z)) (lambda f: g(lambda arg: f(f)(arg))) | |
Nth = Y(lambda f: lambda n: Succ(f(n-1)) if n else Zero) |
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let | |
nixpkgs-src = builtins.fetchTarball { | |
# master of 2021-01-05. | |
url = "https://github.com/NixOS/nixpkgs/archive/1a57d96edd156958b12782e8c8b6a374142a7248.tar.gz"; | |
sha256 = "1qdh457apmw2yxbpi1biwl5x5ygaw158ppff4al8rx7gncgl10rd"; | |
}; | |
pkgs = import nixpkgs-src { | |
config = { | |
# allowUnfree may be necessary for some packages, but in general you should not need it. |