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Proof step 2 from proof jnlhd-notin-ginval (previous step)

elems nx ∩ ginval = ∅, nx.last ∈ ginval ⊦ nx = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
elems nx ∩ ginval = ∅, nx.last ∈ ginval ⊦ # ginval = 0, ginval = ∅, nx = []

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]