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Proof step 1 from proof crash-exists (conclusion)

⊦ ∃ tree1, fs1, ofh1. posix-crash(tree0, fs0, ofh0, tree1, fs1, ofh1)

User applied rule apply lemma

And obtained the following new goals

Proof step 2:
⊦ ∃ fs1. (∀ fid. fid ∈ fs1 ↔ fid ∈ tree.fids ∧ fid ∈ fs0) ∧ (∀ fid. fid ∈ fs1 → fs1[fid] = fs0[fid])
Proof step 3:
∃ fs1. (∀ fid. fid ∈ fs1 ↔ fid ∈ tree0.fids ∧ fid ∈ fs0) ∧ (∀ fid. fid ∈ fs1 → fs1[fid] = fs0[fid]) ⊦ ∃ tree1, fs1, ofh1. posix-crash(tree0, fs0, ofh0, tree1, fs1, ofh1)

Rule argument

spec: <toplevel> name: crash-exists-h seq: ⊦ ∃ fs1. (∀ fid. fid ∈ fs1 ↔ fid ∈ tree.fids ∧ fid ∈ fs0) ∧ (∀ fid. fid ∈ fs1 → fs1[fid] = fs0[fid]) subst: [tree, fs0] → [tree0, fs0]

Additional information

Used terms: tree0, fs0