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Proof step 8 from proof down-store-at-diff (previous step)

⊦ (∅)[n] = gstore ↓[n], n ∈ gstore, n ∈ ginval, n ∈ (gstore \ ginval)↓

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
⊦ (∅)[n] = gstore ↓[n], n ∈ ginval, n ∈ gstore

Rule argument

Additional information

Used simplifier rules: down-store-in: ⊦ n ∈ gstore ↓ ↔ n ∈ gstore;% ⊦ n ∈ gstore \ ns ↔ n ∈ gstore ∧ ¬ n ∈ ns; (ws)