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Proof step 2 from proof fwd-in-log-in-gstore (previous step)

ginval ∩ elems nx = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, n ∈ nx ⊦ n ∈ gstore

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
ginval ∩ elems nx = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, n ∈ nx ⊦ n ∈ gstore, n ∈ ginval

Rule argument

Additional information

Used simplifier rules: elems-in-notin-ginval: ⊦ n ∈ nx ∧ elems nx ∩ ns = ∅ → ¬ n ∈ ns;%int-c: ⊦ ns ∩ ns0 = ns0 ∩ ns; from specification set-union[nat-set]%int-a: ⊦ (ns ∩ ns0) ∩ ns1 = ns ∩ ns0 ∩ ns1; from specification set-union[nat-set]