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Theorem gc-step

aubifs_core_gc_copy#(; RI, FS, LOG) {choose KX, AX with ¬ dups(KX) ∧ ¬ dups(AX) ∧ new(AX, FS) ∧ KX.toSet ⊆ dom RI ∧ # KX = # AX ∧ AX.toSet ∩ LOG.toSet = ∅ in {FS[AX] := FS[RI[KX]], LOG := LOG + AX; RI[KX] := AX} }