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Proof step 17 from proof nodes-write-nochange (previous step)

gstore[m1] = groupblock(gndx0, lax0, m4), gstore[n] = groupblock(gndx, lax, m0), n ∈ gstore, @(m2, m3) ∈ lax0, m1 ∈ gstore, @(m1, m2, m3) ∈ nodes(gstore[n, groupblock(gndx, lax, m)], ginval) ⊦ gstore[n, groupblock(gndx, lax, m)][@(m1, m2, m3)].nd = nodes(gstore, ginval)[@(m1, m2, m3)], m1 ∈ ginval

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
gstore[n] = groupblock(gndx, lax, m0), gstore[m1] = groupblock(gndx0, lax0, m4), m1 ∈ gstore, @(m2, m3) ∈ lax0, n ∈ gstore, @(m1, m2, m3) ∈ gstore ⊦ gstore[@(m1, m2, m3)].nd = nodes(gstore, ginval)[@(m1, m2, m3)], m1 ∈ ginval

Rule argument

Additional information

Used simplifier rules: nodes-gstore-in: ⊦ adr ∈ nodes(gstore, ginval) ↔ ¬ ¬(adr ∈ gstore ∧ ¬ adr.lnum ∈ ginval);%gstore[n].gndlist = gndx, gstore[n].ladrlist = lax ⊦ n ∈ gstore ∧ adr ∈ gstore → gstore[n, groupblock(gndx, lax, m)][adr] = gstore[adr]; (s)% ⊦ @(m, m0, m1).lnum = m; (s)%gstore[n].gndlist = gndx, gstore[n].ladrlist = lax ⊦ n ∈ gstore → (adr ∈ gstore[n, groupblock(gndx, lax, m)] ↔ adr ∈ gstore); (s)% ⊦ groupblock(gndx, lax, m).ladrlist = lax; (s)% ⊦ groupblock(gndx, lax, m).gndlist = gndx; (s)