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Proof step 40 from proof nodes-remove-refsize0 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 41:
⊦ adr ∈ gstore → gstore[adr] = gstore[adr.lnum].gndlist[pos(@(adr.pos, adr.size), gstore[adr.lnum].ladrlist)]
Proof step 42:
gstore[@(m, m0, m1)] = mkgnode(nd0, m4, boolvar1, boolvar2), remove-refsize0(gstore)[@(m, m0, m1).lnum].gndlist[pos(@(@(m, m0, m1).pos, @(m, m0, m1).size), remove-refsize0(gstore)[@(m, m0, m1).lnum].ladrlist)] = mkgnode(nd, m3, boolvar, boolvar0), gstore[m] = groupblock(gndx, lax, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, @(m, m0, m1) ∈ gstore, m ∈ gstore, @(m0, m1) ∈ lax, @(m, m0, m1) ∈ remove-refsize0(gstore) ⊦ m2 = 0, nd = nd0, m ∈ ginval

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), remove-refsize0(gstore)] flags: <all paths>

Additional information

Used terms: @(m, m0, m1), remove-refsize0(gstore)