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Proof step 22 from proof nodes-ginval-rem-01 (previous step)

gstore[m] = groupblock(gndx, lax, m2), gstore[@(m, m0, m1)] = mkgnode(nd, m3, boolvar, boolvar0), dom gstore1 ∪ ns = dom gstore, @(m, m0, m1) ∈ gstore, @(m0, m1) ∈ lax, m ∈ gstore ⊦ nd = nodes(gstore, ginval)[@(m, m0, m1)], m ∈ ginval \ dom gstore1 \ dom gstore, m ∈ ginval

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] → [@(m, m0, m1), 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)% ⊦ 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: @(m, m0, m1), ginval, gstore