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Theorem merge-owned

⊦ (a[hP] * hR)[rs, f, g] ∧ (a0[hP0] * hR0)[rs, f, g] ∧ a0 ≠ a → (a[hP] * a0[hP0] * true)[rs, f, g]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 15
Proof steps: 26
Used lemmas: lift-aux,
Used spec theorems:
- heap-aux/sep
- set-union/refset/subset-is-union
- heap-aux/split-uni
- set-union/refset/subdef
- heap-aux/apply
- set-basic/refset/Extension
Used simplifier rules:
- set-union/refset/int-c
- set-union/refset/int-a
- set-union/refset/unc
- set-union/refset/una
- set-union/refset/intu-empty
- heap-aux/prop-true
- set-union/refset/unin
- set-union/refset/unin-01