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theorem proved term proof

resolutionCells_partition

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formal statement (Lean)

 103theorem resolutionCells_partition (c : C) :
 104    ∃! cell : Set C, c ∈ cell ∧ cell = ResolutionCell r c := by

proof body

Term-mode proof.

 105  use ResolutionCell r c
 106  constructor
 107  · exact ⟨mem_resolutionCell_self r c, rfl⟩
 108  · intro cell ⟨_, hcell⟩
 109    exact hcell
 110
 111/-! ## Local Resolution -/
 112
 113/-- The local resolution of R at c on U is the partition of U into
 114    intersections with resolution cells. -/

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