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Proof step 2 from proof abs-istore-lpt-change-other (previous step)

lpt[n] = mklp(n0, n1, lpf, n2) ⊦ lp.flags = LP_INDEX_NODES, abs-istore(avol, lpt[n, lp], istore) ↔ abs-istore(avol, lpt, istore), lpf = LP_INDEX_NODES

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
lpt[n] = mklp(n0, n1, lpf, n2) ⊦ lp.flags = LP_INDEX_NODES, (∀ n3. (n3 < # lpt ∧ lpt[n, lp][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)) ↔ (∀ 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

Rule argument

Additional information

Used simplifier rules: abs-istore-def: ⊦ 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));%m ≠ n ⊦ lpt[m, lp][n] = lpt[n]; (s)% ⊦ m < # lpt → lpt[m, lp][m] = lp; (s)% ⊦ # lpt[n, lp] = # lpt; (s)