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Proof step 7 from proof icrash-remove-refsize0-prefix (previous step)

istore0[n] = indexblock(indx, lax, m), remove-refsize0(crash(istore, istore0))[n] = indexblock(indx0, lax0, m0), istore0 = remove-refsize0(istore0), n ∈ istore0, n ∈ istore, istore0 ⊑ istore ⊦ crash(istore, istore0)[n].ref-size = 0, indx ⊑ indx0 ∧ lax ⊑ lax0 ∧ # indx = # lax ∧ # indx0 = # lax0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
remove-refsize0(crash(istore, istore0))[n] = indexblock(indx0, lax0, m0), istore0[n] = indexblock(indx, lax, m), crash(istore, istore0)[n] = indexblock(indx1, lax1, m1), istore0 = remove-refsize0(istore0), n ∈ istore, n ∈ istore0, istore0 ⊑ istore ⊦ m1 = 0, indx ⊑ indx0 ∧ lax ⊑ lax0 ∧ # indx = # lax ∧ # indx0 = # lax0

Rule argument

spec: ablock, inst: index-store name: elim seq: ⊦ (indx = iblock.indlist ∧ lax = iblock.ladrlist) ∧ m = iblock.ref-size ↔ iblock = indexblock(indx, lax, m) subst: [iblock, indx, lax, m] → [crash(istore, istore0)[n], indx1, lax1, m1]

Additional information

Used simplifier rules: ⊦ (indx = iblock.indlist ∧ lax = iblock.ladrlist) ∧ m = iblock.ref-size ↔ iblock = indexblock(indx, lax, m); (elim) Used terms: crash(istore, istore0)[n], indx1, lax1, m1