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Proof step 5 from proof down-except-refsize (previous step)

gstore1 =○refsize gstore0 ⊦ ∀ n. (n ∈ gstore1 ↓ ↔ n ∈ gstore0 ↓) ∧ gstore1 ↓[n].gndlist = gstore0 ↓[n].gndlist ∧ gstore1 ↓[n].ladrlist = gstore0 ↓[n].ladrlist

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
gstore1 =○refsize gstore0 ⊦ (n ∈ gstore1 ↔ n ∈ gstore0) ∧ gstore1 ↓[n].gndlist = gstore0 ↓[n].gndlist ∧ gstore1 ↓[n].ladrlist = gstore0 ↓[n].ladrlist

Rule argument

Additional information

Used simplifier rules: down-store-in: ⊦ n ∈ gstore ↓ ↔ n ∈ gstore;