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Theorem exin

⊦ r ≠ null → (r ∈ h ↔ (∃ h0, o. h = (h0 ++ r)[r, o] ∧ ¬ r ∈ h0))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: at-uni, diff-at, diff-in, diff-size, exin-uni, in-uni, rm-size, size-uni, size-zero, structind,
Used by units in proved state: heap-fun, maplet, separation, heap-mod,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 7
Used lemmas: at-del, at-alloc, at-write, ext, in-del, nonnull, in-alloc, in-write,
Used spec theorems:
- Used simplifier rules: