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Theorem precise-split-l

precise(P0) ⊦ P0(H0) ∧ H0 ⊥ H1 → (((P0 * P1))(H0 ∪ H1) ↔ P1(H1))

Type: A user defined theorem
Validity: The proof is valid.
Features: s,
Comment:
Used by: and-combine, and-split, precise-split-r, septract-given,
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: sep, precise, sep-com, sep-ass, split-union,
Used spec theorems:
- Used simplifier rules:
  - heap/uni-inj