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Proof step 10 from proof in-crash-at-gstore (previous step)

crash(gstore, gstore0, ginval, nx)[m0] = groupblock(gndx, lax, m), @(m0, m1, m2) ∈ gstore, @(m0, m1, m2) ∈ crash(gstore, gstore0, ginval, nx) ⊦ gndx[pos(@(m1, m2), lax)] = gstore[m0].gndlist[pos(@(m1, m2), gstore[m0].ladrlist)], m0 ∈ ginval

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
crash(gstore, gstore0, ginval, nx)[m0] = groupblock(gndx, lax, m), gstore[m0] = groupblock(gndx0, lax0, m3), @(m0, m1, m2) ∈ crash(gstore, gstore0, ginval, nx), @(m0, m1, m2) ∈ gstore ⊦ gndx[pos(@(m1, m2), lax)] = gndx0[pos(@(m1, m2), lax0)], m0 ∈ 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] → [gstore[m0], 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: gstore[m0], gndx0, lax0, m3