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This PR upstreams `Nat.lt_pow_self` and `Nat.lt_two_pow` from Mathlib and uses them to prove the simp theorem `Nat.mod_two_pow`. This simplifies expressions like `System.Platform.numBits % 2 ^ System.Platform.numBits = System.Platform.numBits`, which is needed for leanprover#6188.
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This PR upstreams
Nat.lt_pow_selfandNat.lt_two_powfrom Mathlib and uses them to prove the simp theoremNat.mod_two_pow.This simplifies expressions like
System.Platform.numBits % 2 ^ System.Platform.numBits = System.Platform.numBits, which is needed for #6188.