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minor tinkering with docstrings
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kbuzzard committed Apr 26, 2024
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6 changes: 3 additions & 3 deletions FLT/Basic/Reductions.lean
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Expand Up @@ -89,8 +89,8 @@ lemma p_ge_5_counterexample_of_not_FermatLastTheorem (h : ¬ FermatLastTheorem)

/--
A *Frey Package* is a 4-tuple (a,b,c,p) of integers
satisfying some axioms (including $a^p+b^p=c^p$).
The axioms imply that all of
satisfying $a^p+b^p=c^p$ and some other inequalities
and congruences. These facts guarantee that all of
the all the results in section 4.1 of Serre's paper [serre]
apply to the curve $Y^2=X(X-a^p)(X+b^p).$
-/
Expand Down Expand Up @@ -262,7 +262,7 @@ lemma aux₁.ha4 (hab : gcd a₁ b₁ = 1) : ((aux₁ a₁ b₁ c₁).1 : ZMod 4
end of_not_FermatLastTheorem

-- these sorries below are quite long and tedious to fill in. See for example the
-- proof of `ha4` above.
-- proof of `ha4` above. There is presumably a better way to do this

/-- Given a counterexample to Fermat's Last Theorem with a,b,c coprime and p ≥ 5, we can make
a Frey package. -/
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