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Proof step 25 from proof nodes-crash-down (previous step)

gstore[m] = groupblock(gndx, lax, m2), inv(groupblock(gndx, lax, m2)), inv(gstore \ ginval), @(m0, m1) ∈ crash(gstore, gstore0, ginval, nx) ↓[m].ladrlist, m ∈ gstore, @(m0, m1) ∈ prefixn(valid-group-nodes(gndx), lax) ⊦ crash(gstore, gstore0, ginval, nx) ↓[@(m, m0, m1)].nd = nodes(gstore ↓, ginval)[@(m, m0, m1)], m ∈ ginval

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 26:
gstore[m] = groupblock(gndx, lax, m2), crash(gstore, gstore0, ginval, nx) ↓[m] = groupblock(gndx0, lax0, m3), inv(gstore \ ginval), inv(groupblock(gndx, lax, m2)), @(m0, m1) ∈ prefixn(valid-group-nodes(gndx), lax), m ∈ gstore, @(m0, m1) ∈ lax0 ⊦ crash(gstore, gstore0, ginval, nx) ↓[@(m, m0, m1)].nd = nodes(gstore ↓, ginval)[@(m, m0, m1)], m ∈ ginval

Rule argument

spec: ablock, inst: group-store name: elim seq: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m) subst: [gblock, gndx, lax, m] → [crash(gstore, gstore0, ginval, nx) ↓[m], gndx0, lax0, m3]

Additional information

Used simplifier rules: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m); (elim) Used terms: crash(gstore, gstore0, ginval, nx) ↓[m], gndx0, lax0, m3