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Proof step 4 from proof crash-exists-h (previous step)

⊦ (fnode(fid) = tree → (∃ fs0. (∀ fid0. fid0 ∈ fs0 ↔ fid0 = fid ∧ fid ∈ fs) ∧ (∀ fid. fid ∈ fs0 → fs0[fid] = fs[fid]))) ∧ ( (∀ str. str ∈ sdt → (∀ fs0. ∃ fs1. (∀ fid. fid ∈ fs1 ↔ fid ∈ sdt[str].fids ∧ fid ∈ fs0) ∧ (∀ fid. fid ∈ fs1 → fs1[fid] = fs0[fid]))) → dnode(md, sdt) = tree0 → (∃ fs1. (∀ fid0. fid0 ∈ fs1 ↔ fid0 ∈ sdt.fids ∧ fid0 ∈ fs0) ∧ (∀ fid. fid ∈ fs1 → fs1[fid] = fs0[fid])))

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

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