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Theorem at-uni

r ∈ h0 ∪ h1 ⊦ h0 ⊥ h1 → (h0 ∪ h1)[r] = (r ∈ h0 ⊃ h0[r];h1[r])

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 19
Used lemmas: disj-r, size-alloc, size-write, disj-l, at-alloc, in-alloc, in-write, disj-write, at-write, uni-alloc, uni-write, disj-alloc, sanity, exin, ext, in-emp, disj-emp-r, uni-emp, in-uni,
Used spec theorems:
- Used simplifier rules: