have hζ' := (zeta_spec P ℚ K).unit'_coe
p : ℕ
hpri : Fact p.Prime
a b c : ℤ
h5p : 5 ≤ p
H : a ^ p + b ^ p = c ^ p
hgcd : {a, b, c}.gcd id = 1
caseI : ¬↑p ∣ a * b * c
ζ : 𝓞 (CyclotomicField ⟨p, ⋯⟩ ℚ)
hζ : ζ ∈ nthRootsFinset p (𝓞 (CyclotomicField ⟨p, ⋯⟩ ℚ))
H₁ : ↑a ^ p + ↑b ^ p = ↑c ^ p
⊢ ∃ I, span {↑a + ζ * ↑b} = I ^ p
p : ℕ
hpri : Fact p.Prime
a b c : ℤ
h5p : 5 ≤ p
H : a ^ p + b ^ p = c ^ p
hgcd : {a, b, c}.gcd id = 1
caseI : ¬↑p ∣ a * b * c
ζ : 𝓞 (CyclotomicField ⟨p, ⋯⟩ ℚ)
hζ : ζ ∈ nthRootsFinset p (𝓞 (CyclotomicField ⟨p, ⋯⟩ ℚ))
H₁ : ↑a ^ p + ↑b ^ p = ↑c ^ p
hζ' : IsPrimitiveRoot ↑⋯.unit' ↑⟨p, ⋯⟩
⊢ ∃ I, span {↑a + ζ * ↑b} = I ^ p