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Theorem disjointp-reduce

⊦ disjointp(spmx1, spmx2) → (disjointp(spmx3, spmx4) ↔ (∀ np. (np ∈ spmx1 → ¬ np ∈ spmx2) → np ∈ spmx3 → ¬ np ∈ spmx4))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state: VF3conc, VF3conc,
Proof exists?: Yes

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Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 9
Used lemmas: disjointp-def,
Used spec theorems:
- Used simplifier rules: