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Proof step 27 from proof nodes-allocate (previous step)

gstore[m1] = groupblock(gndx0, lax0, m5), gstore[m, groupblock([], [], m0)][@(m1, m2, m3)] = mkgnode(nd, m4, boolvar, boolvar0), @(m1, m2, m3) ∈ gstore[m, groupblock([], [], m0)], @(m2, m3) ∈ lax0, m1 ∈ gstore ⊦ nd = nodes(gstore, ginval)[@(m1, m2, m3)], m1 ∈ ginval, m ∈ gstore

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: nodes-gstore-at seq: ⊦ adr ∈ nodes(gstore, ginval) → nodes(gstore, ginval)[adr] = gstore[adr].nd subst: [adr, ginval, gstore] → [@(m1, m2, m3), ginval, gstore] flags: <all paths>

Additional information

Used simplifier rules: nodes-gstore-in: ⊦ adr ∈ nodes(gstore, ginval) ↔ ¬ ¬(adr ∈ gstore ∧ ¬ adr.lnum ∈ ginval);%nodes-gstore-in: ⊦ adr ∈ nodes(gstore, ginval) ↔ ¬ ¬(adr ∈ gstore ∧ ¬ adr.lnum ∈ ginval);% ⊦ @(m, m0, m1).lnum = m; (s)%m ≠ n ⊦ @(m, m0, m1) ∈ gstore → gstore[n, gblock][@(m, m0, m1)] = gstore[@(m, m0, m1)]; (s)% ⊦ mkgnode(nd, m, boolvar, boolvar0).nd = nd; (s)% ⊦ ¬ adr ∈ fs → fs[adr] = (∅)[adr]; (s)%⊦ gstore[n] = groupblock(gndx, lax, m0) ∧ n ∈ gstore ∧ @(n0, n1) ∈ lax → @(n, n0, n1) ∈ gstore; (ss) Used terms: @(m1, m2, m3), ginval, gstore