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Theorem in-uni

⊦ H0 ⊥ H1 → (r ∈ H0 ∪ H1 ↔ r ∈ H0 ∨ r ∈ H1)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: at-uni, del-uni, disj-distr-uni, exin-uni, size-uni, subset-uni, uni-ass, uni-com, uni-inj, union-left-singleton, union-left-singleton-at,
Used by units in proved state: separation-rg, separation, maplet, linked-list-aux, linked-list, heap-sep, heap-fun, embed-aux,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 10
Used lemmas: size-alloc, size-write, uni-alloc, in-write, uni-write, disj-alloc, disj-write, in-alloc, sanity, exin, ext, in-emp, uni-emp-r,
Used spec theorems:
- Used simplifier rules: