brualdi-ch5-51

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal brualdi-ch5-51

What it runs

The Lean statement the swarm must prove — kernel-verified at Gate A. The trailing sorry is the open obligation a proof replaces.

goals/brualdi-ch5-51.lean

import Mathlib

theorem brualdi_ch5_51 {X : Type} [DecidableEq X] (R S : Rel X X) [IsPartialOrder X R]
    [IsPartialOrder X S] (le : R < S) :
    ∃ (p q : X), S p q ∧ ¬ R p q ∧
    IsPartialOrder X (R ⊔ fun x y ↦ if x = p ∧ y = q then true else false) := by
  sorry

Runs (0)

No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.