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Theorem and-combine

precise(P0) ⊦ H ⊥ H0 ∧ P0(H0) ∧ P1(H0) → (((P * (P0 ∧ P1)))(H ∪ H0) ↔ P(H))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: and-com, and-ass, and, precise-and, precise-split-l, sep-com,
Used spec theorems:
- heap/uni-com
Used simplifier rules:
- heap/disj-com-rw