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Proof step 36 from proof id-idx-abs-istore (previous step)

# lpt1 = # lpt0, n < # lpt0 ∧ lpf0 = LP_INDEX_NODES ↔ n ∈ istore, lpt0[n] = mklp(m3, m4, lpf0, m5), lpt1[n] = mklp(m0, m1, lpf, m2), istore[n] = indexblock(indx, lax, m), n ∈ istore → abs-leb(avol[n], indexblock(indx, lax, m), mklp(m, m4, lpf0, m5)) ∧ m3 = m, n < # lpt0 → m3 = m0 ∧ m4 = m1 ∧ lpf0 = lpf ⊦ (n < # lpt0 ∧ lpf = LP_INDEX_NODES ↔ n ∈ istore) ∧ (n ∈ istore → abs-leb(avol[n], indexblock(indx, lax, m), mklp(m, m1, lpf, m2)) ∧ m0 = m)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 37:
⊦ abs-leb(aleb, iblock, lp) ↔ aleb.mapped? ∧ abs-nodes(aleb.data, iblock.indlist, iblock.ladrlist, lp.size = LEB_SIZE) ∧ (lp.size ≠ LEB_SIZE → lp.size = # aleb.data)
Proof step 38:
# lpt1 = # lpt0, n < # lpt0 ∧ lpf0 = LP_INDEX_NODES ↔ n ∈ istore, istore[n] = indexblock(indx, lax, m), lpt1[n] = mklp(m0, m1, lpf, m2), lpt0[n] = mklp(m3, m4, lpf0, m5), n < # lpt0 → m3 = m0 ∧ m4 = m1 ∧ lpf0 = lpf, n ∈ istore → abs-leb(avol[n], indexblock(indx, lax, m), mklp(m, m4, lpf0, m5)) ∧ m3 = m ⊦ (n < # lpt0 ∧ lpf = LP_INDEX_NODES ↔ n ∈ istore) ∧ ( n ∈ istore → ( avol[n].mapped? ∧ abs-nodes(avol[n].data, indexblock(indx, lax, m).indlist, indexblock(indx, lax, m).ladrlist, mklp(m, m1, lpf, m2).size = LEB_SIZE) ∧ (mklp(m, m1, lpf, m2).size ≠ LEB_SIZE → mklp(m, m1, lpf, m2).size = # avol[n].data)) ∧ m0 = m)

Rule argument

spec: abs-leb, inst: encoding-index-node name: abs-leb-def seq: ⊦ abs-leb(aleb, iblock, lp) ↔ aleb.mapped? ∧ abs-nodes (aleb.data, iblock.indlist, iblock.ladrlist, lp.size = LEB_SIZE) ∧ (lp.size ≠ LEB_SIZE → lp.size = # aleb.data) subst: [lp, iblock, aleb] → [mklp(m, m1, lpf, m2), indexblock(indx, lax, m), avol[n]] flags: <all paths>

Additional information

Used terms: mklp(m, m1, lpf, m2), indexblock(indx, lax, m), avol[n]