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Theorem in-write-strong

r0 ∈ H ⊦ r ∈ H[r0, o] ↔ r ∈ H

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: alloc-write, at-uni, diff-at, diff-in, disj-write, exin, exin-uni, in-uni, overwrite, sw-alloc-put, sw-del-add, sw-del-add-new, sw-delwr, sw-put, write-again, write-del, write-left, write-twice,
Used by units in proved state: rg, linked-list-aux, embed-aux, cell-heap-aux, separation-rg, separation, heap-fun, maplet,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: nonnull, in-write,
Used spec theorems:
- Used simplifier rules: