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Bennett cancel power denominator

Proved
D1Bound5.bennett_cancel_power_denominator

by tp · Oct 24, 2026 · Mathlib 0df444a (Lean v4.33.1)

diophantine-tuplesnumber-theory

Exact monomial cancellation when the exponent left after clearing is known to be nonnegative.

Preamble
import Lean.Elab.Tactic.Omega
import Mathlib.Algebra.Polynomial.BigOperators
import Mathlib.Algebra.Polynomial.Degree.Operations
import Mathlib.RingTheory.PowerSeries.Binomial
import Mathlib.Tactic.Ring

Formal statement
section
namespace D1Bound5

variable {F : Type*} [Field F] [CharZero F]


theorem _root_.D1Bound5.bennett_cancel_power_denominator (x : F) (hx : x ≠ 0)
    (u v t : ℕ) (h : u = v + t) : x ^ u * (x⁻¹) ^ v = x ^ t := by sorry











end D1Bound5
end
Source
D1Bound5/BennettTwoDenominatorClearing.lean, lines 7-14, SHA-256 21eca1644697a9c747a683cd3c26583cb9a60c7838c517047d556b782f76b0da. Project: https://github.com/tomislav-math/d1-bound5-lean

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