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Proof step 47 from proof nodes-remove-refsize0 (previous step)

gstore[@(m, m0, m1)] = mkgnode(nd0, m4, boolvar1, boolvar2), gstore[m] = groupblock(gndx, lax, m2), gndx[pos(@(m0, m1), lax)] = mkgnode(nd, m3, boolvar, boolvar0), dom remove-refsize0(gstore) ∩ ginval = ∅, m ∈ gstore, @(m, m0, m1) ∈ gstore, @(m0, m1) ∈ lax, @(m, m0, m1) ∈ remove-refsize0(gstore) ⊦ m2 = 0, nd = nd0, m ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ablock-store-inv, inst: group-store name: at seq: ⊦ adr ∈ gstore → gstore[adr] = gstore[adr.lnum].gndlist [pos(@(adr.pos, adr.size), gstore[adr.lnum].ladrlist) ] subst: [adr, gstore] → [@(m, m0, m1), gstore] flags: <all paths>

Additional information

Used simplifier rules: ⊦ @(m, m0, m1).lnum = m; (s)% ⊦ @(m, m0, m1).pos = m0; (s)% ⊦ @(m, m0, m1).size = m1; (s)% ⊦ groupblock(gndx, lax, m).gndlist = gndx; (s)% ⊦ groupblock(gndx, lax, m).ladrlist = lax; (s)%⊦ mkgnode(nd, m, boolvar, boolvar0) = mkgnode(nd0, m0, boolvar1, boolvar2) ↔ nd = nd0 ∧ m = m0 ∧ (boolvar ↔ boolvar1) ∧ (boolvar0 ↔ boolvar2); (ws) Used terms: @(m, m0, m1), gstore