LEAN 4

Fermat's Last Theorem Proof Explorer

Formal Modular Architecture & Tactic Verification Workspace
Lean Kernel: Verified
Proof Route:
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Verified (0 sorry)
Pending Tactic / Goal
Axiom / Foundation
Theorem Inspector Wiles-Taylor Route
flt_general_contradiction 1 SORRY

Culmination of Fermat's Last Theorem: If a nontrivial solution exists, the corresponding Frey curve is semistable but non-modular, violating Ribet's epsilon theorem.

Lean 4 Theorem Declaration Mathlib.FLT.Main
theorem fermat_last_theorem (n : ℕ) (hn : n ≥ 3) : ¬ ∃ (x y z : ℤ), x ≠ 0 ∧ y ≠ 0 ∧ z ≠ 0 ∧ x^n + y^n = z^n := by
Active Tactic State 1 goal
Apply Lean Tactic:
Tactic Trace:
18 Total Lemmas
17 / 18 Formally Proved
1 Remaining Sorries
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