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Proof step 18 from proof prepost-restore-log (previous step)

elems(nx0 + n ' + nx2) ∩ ginval = ∅, inv(gstore2 \ ginval), n ∈ nx0 ∨ n = n ∨ n ∈ nx2 → n ∈ gstore2 ⊦ n ∈ gstore2 ∧ ¬ n ∈ ginval

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
elems(nx0 + n ' + nx2) ∩ ginval = ∅, inv(gstore2 \ ginval), n ∈ ginval, n ∈ gstore2 ⊦ # ginval = 0, ginval = ∅

Rule argument

Additional information

Used simplifier rules: size-zero-01: ⊦ ns ≠ ∅ → # ns ≠ 0; (forward) from specification set-basic[nat-set]%ne-01: ⊦ n ∈ ns → ns ≠ ∅; (forward) from specification set-basic[nat-set]