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Proof step 3 from proof path-unfold-wand (previous step)

p ∈ tree ⊦ abs|(tree, ino0, p, ino1) ⊆ abs(tree[p], ino1) -* abs(tree, ino0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ D ⊆ D0 ↔ (∀ dirs. D(dirs) → D0(dirs))
Proof step 5:
p ∈ tree ⊦ ∀ dirs. abs|(tree, ino0, p, ino1)(dirs) → ((abs(tree[p], ino1) -* abs(tree, ino0)))(dirs)

Rule argument

spec: heap-sep, inst: dir-heap name: Imp seq: ⊦ D ⊆ D0 ↔ (∀ dirs. D(dirs) → D0(dirs)) subst: [D0, D] → [abs(tree[p], ino1) -* abs(tree, ino0), abs|(tree, ino0, p, ino1)] flags: <all paths>

Additional information

Used terms: abs(tree[p], ino1) -* abs(tree, ino0), abs|(tree, ino0, p, ino1)