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Construction_of_Equal_Straight_Lines_from_Unequal

Disproved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

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Given two unequal straight line segments, it is possible to cut off from the greater a straight line segment equal to the lesser.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
import Mathlib.Analysis.Complex.Basic

theorem Construction_of_Equal_Straight_Lines_from_Unequal (a b : ℝ) (hab : a < b) : ∃ c : ℝ, 0 ≤ c ∧ c = a := by sorry
Source
https://proofwiki.org/wiki/Construction_of_Equal_Straight_Lines_from_Unequal

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