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Proof step 7 from proof nodes-write-same-flushed (previous step)

gstore[m] = groupblock(gndx, lax, n0), adr = @(m1, m2, m3), m ∈ gstore, valid-group-nodes(gndx) ≤ m0, n0 ≤ m0, valid-group-nodes(gndx) ≤ n0 ⊦ ( ¬ m1 ∈ ginval → (adr ∈ gstore ↓[m, groupblock(prefixn(valid-group-nodes(gndx), gndx), prefixn(valid-group-nodes(gndx), lax), m0)] ↔ adr ∈ gstore ↓)) ∧ ( adr ∈ gstore ↓[m, groupblock(prefixn(valid-group-nodes(gndx), gndx), prefixn(valid-group-nodes(gndx), lax), m0)] ∧ ¬ m1 ∈ ginval → nodes(gstore ↓[m, groupblock(prefixn(valid-group-nodes(gndx), gndx), prefixn(valid-group-nodes(gndx), lax), m0)], ginval)[adr] = nodes(gstore ↓, ginval)[adr])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
gstore[m] = groupblock(gndx, lax, n0), m ∈ gstore, valid-group-nodes(gndx) ≤ n0, n0 ≤ m0, valid-group-nodes(gndx) ≤ m0 ⊦ ( ¬ m1 ∈ ginval → ( @(m1, m2, m3) ∈ gstore ↓[m, groupblock(prefixn(valid-group-nodes(gndx), gndx), prefixn(valid-group-nodes(gndx), lax), m0)] ↔ @(m1, m2, m3) ∈ gstore ↓)) ∧ ( @(m1, m2, m3) ∈ gstore ↓[m, groupblock(prefixn(valid-group-nodes(gndx), gndx), prefixn(valid-group-nodes(gndx), lax), m0)] ∧ ¬ m1 ∈ ginval → nodes(gstore ↓[m, groupblock(prefixn(valid-group-nodes(gndx), gndx), prefixn(valid-group-nodes(gndx), lax), m0)], ginval)[@(m1, m2, m3)] = nodes(gstore ↓, ginval)[@(m1, m2, m3)])

Proof step 7 from proof nodes-write-same-flushed (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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