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Proof step 2 from proof in-nodes-down-at-same (previous step)

gstore[adr] = gnd, adr ∈ nodes(gstore ↓, ginval) ⊦ gstore ↓[adr] = gstore[adr]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
adr ∈ gstore ↓ ⊦ gstore ↓[adr] = gstore[adr], adr.lnum ∈ ginval

Rule argument

Additional information

Used simplifier rules: nodes-gstore-in: ⊦ adr ∈ nodes(gstore, ginval) ↔ ¬ ¬(adr ∈ gstore ∧ ¬ adr.lnum ∈ ginval);