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Proof step 10 from proof icrash-inv (previous step)

crash(istore, istore0)[n] = indexblock(indx, lax, m), inv(istore), n ∈ istore0, n ∈ istore, istore0 ⊑ istore ⊦ m = 0, inv(indexblock(indx, lax, m))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ n ∈ istore0 → crash(istore, istore0)[n] = indexblock(istore[n].indlist, istore[n].ladrlist, istore0[n].ref-size)
Proof step 12:
indexblock(istore[n].indlist, istore[n].ladrlist, istore0[n].ref-size) = indexblock(indx, lax, m), inv(istore), n ∈ istore, n ∈ istore0, istore0 ⊑ istore ⊦ m = 0, inv(indexblock(indx, lax, m))

Rule argument

spec: <toplevel> name: crash-index-at seq: ⊦ n ∈ istore0 → crash(istore, istore0)[n] = indexblock (istore[n].indlist, istore[n].ladrlist, istore0[n].ref-size) subst: [n, istore0, istore] → [n, istore0, istore] flags: <all paths>

Additional information

Used terms: n, istore0, istore