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Proof step 36 from proof abs-istore-lpt-change-other (previous step)

lpt[n] = mklp(n0, n1, lpf, n2), ∀ 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) ⊦ lpf = LP_INDEX_NODES, lpf0 = LP_INDEX_NODES, (n3 < # lpt ∧ lpt[n, mklp(m, m0, lpf0, m1)][n3].flags = LP_INDEX_NODES ↔ n3 ∈ istore) ∧ (n3 ∈ istore → abs-leb(avol[n3], istore[n3], lpt[n3]) ∧ lpt[n3].ref-size = istore[n3].ref-size)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 37:
lpt[n] = mklp(n0, n1, lpf, n2), istore[n3] = indexblock(indx, lax, m2), ∀ 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) ⊦ lpf = LP_INDEX_NODES, lpf0 = LP_INDEX_NODES, (n3 < # lpt ∧ lpt[n, mklp(m, m0, lpf0, m1)][n3].flags = LP_INDEX_NODES ↔ n3 ∈ istore) ∧ (n3 ∈ istore → abs-leb(avol[n3], istore[n3], lpt[n3]) ∧ lpt[n3].ref-size = m2)

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] → [istore[n3], indx, lax, m2]

Additional information

Used simplifier rules: ⊦ (indx = iblock.indlist ∧ lax = iblock.ladrlist) ∧ m = iblock.ref-size ↔ iblock = indexblock(indx, lax, m); (elim) Used terms: istore[n3], indx, lax, m2