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Theorem split-union

⊦ R0(H0, H1) ∧ R1(H2, H3) ∧ H0 ⊥ H2 ∧ H1 ⊥ H3 → (¬ (R0 * R1)(H0 ∪ H2, H1 ∪ H3) ↔ false)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas: sep,
Used spec theorems:
- Used simplifier rules: