Theorem 17.5 #182
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Theorem 17.5 #182
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I realised that the WeakPNT Lean definition takes a limit over integers, which *I believe* is usually not what one needs in Lean, especially in number theory. So I renamed the previous WeakPNT to WeakPNT_nat, and stated + proved WeakPNT where the domain is the reals. Also proved WeakPNT', which is the statement written down in the LaTeX / blueprint, and relabelled the blueprint. (I need this for some further work in Corollaries, not just a random change.)
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WeakPNT', which is a slight rephrase ofWeakPNT, and a direct translation of the statement given in the blueprint. I need this for (2.) below. The commit message 1b7e4fa explains better.chebyshev_asymptotic_finsum, a consequence ofchebyshev_asymptotic.I will work on proving the actual
chebyshev_asymptotic, as well as (probably) other corollaries, soon.This PR depends on #181