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Theorem uni

⊦ rs0 ∩ rs1 = ∅ → mk(rs0 ∪ rs1, f) = mk(rs0, f) ∪ mk(rs1, f)

Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by: sep, split-uni,
Used by units in proved state: heap-aux,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: at-unir, at-unil, at-mk, in-mk, in-uni,
Used spec theorems:
- heap/ext
- set-union/refset/Union
Used simplifier rules:
- set-union/refset/unc
- set-union/refset/una
- set-union/refset/unin
- set-union/refset/int-c
- set-union/refset/int-a