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Proof step 5 from proof fwd-in-istore-lpt (previous step)

istore[n] = indexblock(indx, lax, m), lpt[n] = mklp(m0, m1, lpf, m2), abs-istore(avol, lpt, istore), n ∈ istore ⊦ n < # lpt ∧ m0 = m ∧ lpf = LP_INDEX_NODES

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ abs-istore(avol, lpt, istore) ↔ (∀ n. (n < # lpt ∧ lpt[n].flags = LP_INDEX_NODES ↔ n ∈ istore) ∧ (n ∈ istore → abs-leb(avol[n], istore[n], lpt[n]) ∧ lpt[n].ref-size = istore[n].ref-size))
Proof step 7:
lpt[n] = mklp(m0, m1, lpf, m2), istore[n] = indexblock(indx, lax, m), n ∈ istore, ∀ n. (n < # lpt ∧ lpt[n].flags = LP_INDEX_NODES ↔ n ∈ istore) ∧ (n ∈ istore → abs-leb(avol[n], istore[n], lpt[n]) ∧ lpt[n].ref-size = istore[n].ref-size) ⊦ n < # lpt ∧ m0 = m ∧ lpf = LP_INDEX_NODES

Rule argument

spec: persistence-base name: abs-istore-def seq: ⊦ abs-istore(avol, lpt, istore) ↔ (∀ n. ( n < # lpt ∧ lpt[n].flags = LP_INDEX_NODES ↔ n ∈ istore) ∧ ( n ∈ istore → abs-leb(avol[n], istore[n], lpt[n]) ∧ lpt[n].ref-size = istore[n].ref-size)) subst: [istore, lpt, avol] → [istore, lpt, avol] flags: <all paths>

Additional information

Used terms: istore, lpt, avol