diff --git a/FltRegular/NumberTheory/Hilbert92.lean b/FltRegular/NumberTheory/Hilbert92.lean
index fac2f81b..38fff494 100644
--- a/FltRegular/NumberTheory/Hilbert92.lean
+++ b/FltRegular/NumberTheory/Hilbert92.lean
@@ -799,8 +799,14 @@ lemma Hilbert92ish (hp : Nat.Prime p)
     obtain ⟨S, hS⟩ := Hilbert91ish p (K := K) (k := k) hp hKL Οƒ hΟƒ
     have NE_p_pow : (Units.map (algebraMap (π“ž k) (π“ž K)).toMonoidHom NE) = E ^ (p : β„•) := by
 
-      have h1 : βˆ€ (i : β„•), (Οƒ ^ i) E = ((Οƒ ^ i)  (algebraMap k K ΞΆ^((p : β„•)^(h-1)))) * E :=
-        by sorry
+      have h1 : βˆ€ (i : β„•), (Οƒ ^ (i+1)) E = ((Οƒ ^ (i+1))  (algebraMap k K ΞΆ^((p : β„•)^(h-1)))) * E :=
+        by
+        intro i
+        induction i
+        simp
+        sorry
+        sorry
+