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Proof step 34 from proof nodes-crash-down (previous step)

crash(gstore, gstore0, ginval, nx) ↓[@(m, m0, m1)] = mkgnode(nd, m4, boolvar, boolvar0), gstore[m] = groupblock(gndx, lax, m2), gstore ↓[@(m, m0, m1)] = mkgnode(nd0, m3, boolvar1, boolvar2), inv(gstore \ ginval), inv(groupblock(gndx, lax, m2)), @(m0, m1) ∈ prefixn(valid-group-nodes(gndx), lax), m ∈ gstore ⊦ nd = nd0, m ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 35:
⊦ adr ∈ gstore → gstore[adr] = gstore[adr.lnum].gndlist[pos(@(adr.pos, adr.size), gstore[adr.lnum].ladrlist)]
Proof step 36:
gstore ↓[@(m, m0, m1)] = mkgnode(nd0, m3, boolvar1, boolvar2), gstore[m] = groupblock(gndx, lax, m2), crash(gstore, gstore0, ginval, nx) ↓[@(m, m0, m1)] = mkgnode(nd, m4, boolvar, boolvar0), inv(groupblock(gndx, lax, m2)), inv(gstore \ ginval), m ∈ gstore, @(m0, m1) ∈ prefixn(valid-group-nodes(gndx), lax) ⊦ nd = nd0, m ∈ ginval, @(m, m0, m1) ∈ crash(gstore, gstore0, ginval, nx) ↓
Proof step 38:
gstore ↓[@(m, m0, m1)] = mkgnode(nd0, m3, boolvar1, boolvar2), gstore[m] = groupblock(gndx, lax, m2), crash(gstore, gstore0, ginval, nx) ↓[@(m, m0, m1).lnum].gndlist [pos(@(@(m, m0, m1).pos, @(m, m0, m1).size), crash(gstore, gstore0, ginval, nx) ↓[@(m, m0, m1).lnum].ladrlist) ] = mkgnode(nd, m4, boolvar, boolvar0), inv(groupblock(gndx, lax, m2)), inv(gstore \ ginval), m ∈ gstore, @(m0, m1) ∈ prefixn(valid-group-nodes(gndx), lax), @(m, m0, m1) ∈ crash(gstore, gstore0, ginval, nx) ↓ ⊦ 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), crash(gstore, gstore0, ginval, nx) ↓] flags: <all paths>

Additional information

Used terms: @(m, m0, m1), crash(gstore, gstore0, ginval, nx) ↓