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Proof step 9 from proof crash-neutral-gc (previous step)

ro.inodes?, fo.inodes?, log-cons(log, fs), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi) ⊦ ∃ kx, ax. ¬ dups(kx) ∧ ¬ dups(ax) ∧ new(ax, fs) ∧ kx.toSet ⊆ dom ri ∧ # kx = # ax ∧ ax.toSet ∩ log.toSet = ∅ ∧ ⟨fs1 := fs[ax, fs[ri[kx]]], log1 := log + ax; ri[kx] := ax; aubifs_core_gc_drop#(ri, log1; fs1); boolvar := ?⟩ (boolvar ∧ fs = fs1 ∧ log = log1)

User applied rule exists right

And obtained the following new goals

Proof step 10:
fo.inodes?, ro.inodes?, log-cons(log, fs), ri-cons(ri, fs), ri-inj(fi), ri-inj(ri) ⊦ ¬ dups([]) ∧ ¬ dups([]) ∧ new([], fs) ∧ [].toSet ⊆ dom ri ∧ # [] = # [] ∧ [].toSet ∩ log.toSet = ∅ ∧ ⟨fs1 := fs[[], fs[ri[[]]]], log1 := log + []; ri[[]] := []; aubifs_core_gc_drop#(ri, log1; fs1); boolvar := ?⟩ (boolvar ∧ fs = fs1 ∧ log = log1)

Rule argument

pos: right 1 terms: [], [] abort: F discard: T computed: T

Additional information

Used terms: [], []