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Proof step 9 from proof inv-lookup (previous step)

ro.inodes?, fo.inodes?, log-cons(log, fs), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪if err0 = ESUCCESS then {boolvar := key ∈ ri; if boolvar then nd := fs[ri[key]] else nd := ?} else boolvar := ?, nd := ?⟫ true

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

Additional information