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Proof step 4 from proof down-store-dealloc (previous step)

n0 ∈ gstore ⊦ (gstore -- n)↓[n0] = gstore[n0] ↓, n0 = n

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ n ∈ gstore → gstore ↓[n] = gstore[n] ↓

Rule argument

spec: <toplevel> name: down-store-at seq: ⊦ n ∈ gstore → gstore ↓[n] = gstore[n] ↓ subst: [n, gstore] → [n0, gstore -- n] flags: <all paths>

Additional information

Used simplifier rules: ⊦ n ≠ n0 → (gstore -- n0)[n] = gstore[n]; (s)% ⊦ n ∈ gstore -- n0 ↔ n ≠ n0 ∧ n ∈ gstore; (s) Used terms: n0, gstore -- n