Skip to content

Commit

Permalink
better name
Browse files Browse the repository at this point in the history
  • Loading branch information
riccardobrasca committed Sep 12, 2024
1 parent 8cf14be commit 8ee136e
Showing 1 changed file with 2 additions and 2 deletions.
4 changes: 2 additions & 2 deletions FltRegular/NumberTheory/Hilbert92.lean
Original file line number Diff line number Diff line change
Expand Up @@ -730,7 +730,7 @@ lemma finrank_G : finrank ℤ G = (Units.rank k + 1) * (↑p - 1) := by
apply (algebraMap k K).injective
exact congr_arg (fun i : Additive (𝓞 K)ˣ ↦ (↑(↑(Additive.toMul i) : 𝓞 K) : K)) e

lemma Hilbert91ish :
theorem Hilbert91 :
∃ S : systemOfUnits p G (NumberField.Units.rank k + 1), S.IsFundamental :=
systemOfUnits.IsFundamental.existence p hp G (NumberField.Units.rank k + 1)
(finrank_G p hp hKL σ hσ)
Expand Down Expand Up @@ -786,7 +786,7 @@ lemma Hilbert92ish (hpodd : (p : ℕ) ≠ 2) :
obtain ⟨E, hE⟩ := H
let NE := Units.map (RingOfIntegers.norm k) E
have hNE : (NE : k) = Algebra.norm k (E : K) := rfl
obtain ⟨S, hS⟩ := Hilbert91ish p (K := K) (k := k) hp hKL σ hσ
obtain ⟨S, hS⟩ := Hilbert91 p (K := K) (k := k) hp hKL σ hσ
have NE_p_pow : (Units.map (algebraMap (𝓞 k) (𝓞 K)).toMonoidHom NE) = E ^ (p : ℕ) := by
ext
simp only [RingHom.toMonoidHom_eq_coe, Units.coe_map, MonoidHom.coe_coe,
Expand Down

0 comments on commit 8ee136e

Please sign in to comment.