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Theorem diff-in

⊦ r ∈ h0 \ h1 ↔ r ∈ h0 ∧ ¬ r ∈ h1

Type: A user defined theorem
Validity: The proof is valid.
Features: las, as,
Comment:
Used by: disj-diff, disj-diff-id1, disj-diff-same, disj-diffl, disj-union-diff, same-diff-empty, subset-diffempty, subset-uni, union-diff-distr, union-split2,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 12
Used lemmas: diff-alloc, diff-write, diff-emp,
Used spec theorems:
- heap/ext
- heap/exin
Used simplifier rules: