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Proof step 6 from proof jnlhd-notin-istore (previous step)

dom gstore ∩ dom istore = ∅, nx.last ∈ istore, ∀ n. n ∈ nx → n ∈ gstore ⊦ nx = []

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: nx.last

Additional information

Used simplifier rules: ⊦ nx.last ∈ nx ↔ nx ≠ []; (s)%int-a: ⊦ (ns ∩ ns0) ∩ ns1 = ns ∩ ns0 ∩ ns1; from specification set-union[nat-set]%int-c: ⊦ ns ∩ ns0 = ns0 ∩ ns; from specification set-union[nat-set]% ⊦ dom gstore ∩ dom istore = ∅ ∧ n ∈ istore → (n ∈ gstore ↔ false); (s) Used terms: nx.last