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Proof step 34 from proof size-0 (previous step)

# gndx = # lax, (range ri | m).size = 0, gstore[m] = groupblock(gndx, lax, m1), ri[key] = @(m, m0, 0), inv(gstore \ ginval), key-cons(key, nodes(gstore ↓, ginval)[@(m, m0, 0)]), key ∈ ri, @(m0, 0) ∈ prefixn(valid-group-nodes(gndx), lax), m ∈ gstore, ∀ n. n < # lax → lax[n].size = gndx[n].flashsize ⊦ dups(lax), m ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 35:
⊦ ¬ ladr ∈ lax → ¬ ladr ∈ prefixn(n, lax)
Proof step 36:
# gndx = # lax, (range ri | m).size = 0, ri[key] = @(m, m0, 0), gstore[m] = groupblock(gndx, lax, m1), inv(gstore \ ginval), key-cons(key, nodes(gstore ↓, ginval)[@(m, m0, 0)]), @(m0, 0) ∈ lax, m ∈ gstore, @(m0, 0) ∈ prefixn(valid-group-nodes(gndx), lax), key ∈ ri, ∀ n. n < # lax → lax[n].size = gndx[n].flashsize ⊦ dups(lax), m ∈ ginval

Rule argument

spec: list-prefixn, inst: laddress-list name: prefixn-notin seq: ⊦ ¬ ladr ∈ lax → ¬ ladr ∈ prefixn(n, lax) subst: [lax, n, ladr] → [lax, valid-group-nodes(gndx), @(m0, 0)] flags: <all paths>

Additional information

Used terms: lax, valid-group-nodes(gndx), @(m0, 0)