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erdos_189.variants.square
Specification
Graham claims this is "easy to see".
Lean 4 Statement
theorem erdos_189.variants.square :
¬ Erdos189For
(fun a b c d ↦
line[ℝ, a, b].direction ⟂ line[ℝ, b, c].direction ∧
line[ℝ, b, c].direction ⟂ line[ℝ, c, d].direction ∧
line[ℝ, c, d].direction ⟂ line[ℝ, d, a].direction ∧
dist a b = dist b c)
(fun a b c d ↦ dist a b * dist b c)
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