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Theorem at-unir

⊦ rs0 ∩ rs1 = ∅ ∧ r ∈ rs1 → (mk(rs0, f0) ∪ mk(rs1, f1))[r] = f1(r)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: at-mk, in-mk, disj, in-uni,
Used spec theorems:
- heap/at-uni
Used simplifier rules:
- set-union/refset/int-a
- set-union/refset/int-c
- set-union/refset/int-empty-02