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In the lambda calculus, we can represent the identity function as
λx.x
. To solve for N=NP, we can use this identity function to substituteN
withNP
in the lambda calculus.First, let's define the identity function:
λx.x
Now, we can use this function to substitute
N
withNP
:λN.N(N) = λN.NP
This expression states that the function that takes
N
as input and returnsNP
is equivalent to the identity functionλx.x
.