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Proof step 8 from proof ginval-down (previous step)

⊦ n ∈ gstore, (n ∈ gstore ↓ \ ginval ↔ n ∈ gstore \ ginval) ∧ (n ∈ gstore ↓ \ ginval → (gstore ↓ \ ginval)[n] = gstore ↓[n])

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 9:
n ∈ ginval ⊦ n ∈ gstore, (n ∈ gstore ↓ \ ginval ↔ n ∈ gstore \ ginval) ∧ (n ∈ gstore ↓ \ ginval → (gstore ↓ \ ginval)[n] = gstore ↓[n])

Rule argument

fma: n ∈ ginval

Additional information

Used simplifier rules: down-store-in: ⊦ n ∈ gstore ↓ ↔ n ∈ gstore;% ⊦ n ∈ gstore \ ns ↔ n ∈ gstore ∧ ¬ n ∈ ns; (ws)% ⊦ ¬ n ∈ ns → (gstore \ ns)[n] = gstore[n]; (s) Used formulas: n ∈ ginval