theorem
proved
pc_implies_forcedArborescence
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IndisputableMonolith.Complexity.SAT.PC on GitHub at line 267.
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264 exact Iff.rfl
265
266/-- PC ⇒ ForcedArborescence. -/
267theorem pc_implies_forcedArborescence {n}
268 (inputs : InputSet n) (aRef : Assignment n) (φ : CNF n) (H : XORSystem n) :
269 PC inputs aRef φ H → ForcedArborescence inputs aRef φ H := by
270 unfold ForcedArborescence
271 exact pc_implies_peeling inputs aRef φ H
272
273end SAT
274end Complexity
275end IndisputableMonolith